Official Factorio Wiki - User contributions [en]

Tutorial:Main bus

2018-05-26T00:16:13Z

GXExpress: /* Split-off */ The blueprint for the left side 4-lane bus split-off was missing a title. I named it "4-split l" to match the existing "4-split lr" and "4-split r" blueprints

{{Languages}}
[[File:main_bus.jpg|thumb|400px|A main bus in use with several different items and some production]]

The concept of a '''Main Bus''' is to put the most used and useful ingredients in a central spot to use for assembling machines.
This is a good measure to combat "spaghetti factories" as it forces someone to plan a structured layout and move everything to use items from the bus.
Which is also a downside as there are more belts used and therefore more room for belt-buffer and everything is less compact.

Whether one uses a bus is often decided before starting a map or when first building an array of furnaces.

A bus often starts at the smelting of iron, copper and steel and then over time and distance gains more and more different items.
When one doesn't have enough production to saturate a belt (or splits it into more) then this can be called a "fake"-bus as it ''can not'' be saturated.
This is especially deceiving when the item isn't moving and all belts have filled up as these belts can't carry the amount they lead on to believe they can.
This can be done to reserve room for later expansion, blueprint-ghosts are a good usage for that as they don't allow the belt to be filled with non-usable items.

The direction of a bus, being horizontal or vertical depends on personal preference and how one likes to work on the production that splits off it, which can almost always be expanded for greater use later on.
The orientation of and how wide the players monitor is also plays a role in this decision.
A corner is not unheard of but very unusual and is often only necessary when a lake appears that is not planned for.

== Content ==
What items one puts on a bus is personal preference.
Some items are a good candidate to be built "on-site" meaning not carried by the bus but rather made where they are needed.
A good example for this are [[copper cable]]s as they consume more space on a belt than in form of copper plates.

Here are some things people have put on their bus in the past:
* Several belts of [[Iron plate]]s, usually a multiple of four as that is the length one [[underground belt]] can go underneath of.
* Some belts of [[Copper plate]]s as well, usually less than Iron plates, as of 0.15 a lot less.
* [[Iron gear wheel]]s are seen on some buses as of 0.15 as they're taking up half as much room than iron plates (are denser) and see usage in a lot of recipes.
* [[Electronic circuit]]s and later on even
* [[Advanced circuit]]s though that may not be necessary as they just get used up quickly in other steps and aren't used in that many different products.
* [[Steel plate]]s.
* [[Processing unit]]s are rarely seen on a bus as they are used in even less recipes than the other mentioned intermediate products.
* [[Battery|Batteries]].
* [[Plastic bar]]s (sometimes replaces [[coal]] from where plastic is produced).
Each of these Items would get a dedicated line of belts from which one would draw from if there is need for the item.

Some people like to have fluids part of their bus which could include:
* [[Sulfuric acid]] for processing units.
* [[Water]] for [[concrete]].
* [[Lubricant]] for [[express transport belt]].

== Advice and Limitations ==
Having all possible items on a bus results in a huge wide bus with a lot of belt-buffer for expensive items and standing belts of output-items that wont get used in another process.
These items are often just put into [[chests]] for personal use rather than on a bus.

The width of the bus can become a problem if it is very wide.
Players sometimes choose to only build on one side of the bus until they can estimate that they wont need more belts on the bus.

It is advisable to leave ''space'' between the groups of belts of one item for underground belt to surface and for other things to cross the bus.
A recommended numbers is two free spaces for every group of four belts, although leaving more space can be useful too.
Same with the production that is to the side of the bus, leave space ''between the builds'' for later expansion or belts that go between, at least three, six to ten is fitting.
Grouping differing items together can cause problems when splitting them off, hence only groupings of two differing items is recommended.
Having smaller groups of only one or two is also not a bad thing.

When [[logistic robot]]s are available one might start moving some items by robots instead of using the bus.
Some players eventually phase out the main bus entirely in favor of robots.
This may happen at a later stage in the game up to which a bus is a very good tool to reduce clutter.
But robots have their own difficulties and require a lot more resources and knowledge of the game.

For very large amounts of items [[railway]]s may be a better alternative that can not only carry large amounts of ore but also the intermediate and end-products.
This can lead to designs of a base consisting of only train-stations with small [[logistic network]]s without any belts.
For a comparison of belt, logistic robot and railway transport systems, refer to the [[Tutorial:Transport_use_cases|Transport use cases tutorial]].

One [https://redd.it/5gn30r reddit post] mentions the use of [[cargo wagon]]s as a means to increase throughput and reduce the size of a bus.

== Split-off ==
When one wants to use the items on their bus one could directly take items off the bus as if it is just a belt, though that would mean an extremely long bus and useless lengths of other belts.
This is sometimes done to get Items crafted into a chest for personal use like [[pipe]] which only uses Iron plates.

The Idea is that one wants to draw from every belt (and lane even) equally to not have too few items at the current planned production and not have empty and at the same time standing belts of items.
That way at every step along the bus a few items are split off and used up and when the production comes to a stop the items go on to be used by the next production.

These split-off designs aren't strictly necessary but help immensely. They have the additional property that if the incoming belts are fully saturated then the split-off belt will be full (recall that a single splitter with a single full input belt will output two half-filled belts).

The following are 2 designs for a split-off off a 2-wide bus (by reddit user [https://www.reddit.com/user/unique_2 /u/unique_2]).
<gallery mode="nolines" widths=224px heights=320px >
File:2-split_variant_a.png|{{BlueprintString|bp-string=0eNqVld9ugyAUxl/FnKstwRbwT1sfY7fL0mhLHIlFh9DMGN99qO1mWrrCFfHI9+NwvgP0UFSaNZILBVkP/FCLFrL3HlpeirwaY6prGGRw5lJpE0Eg8tMYmGeEFAYEXBzZN2RkQB7Kt4WSWpVcsdNC1lRcKSYXsshBpmQu2qaWKixYpRbiePhAwITiirN509NHtxf6VJhlMvKIgaCpWyOrxbiqQYUUQWeGeBgTusFQdwz5BxN5ZxPZMLE3htowiTMGXykIjlyyw/wrtjBT70LdQKkFuvmFamO7LGVtxidY01bXXqq1avTYNXfgrW8hsa2Ou/v2tqS1SubEiA1BsKcX+HnVCPH1lzhAqb8X+M8KLh44QSKHIl6sxavEIVHvQ2I3JvEx13rMSOqCwBeEPYuN72as9wbZ+p5OgzEX7HQZZ4tnBkGVG52J0XDaUyB5+amCl6IL1nqtBf/SbE9fg9xMPTPZTuA0jmmabiihu2H4AQXcOK0=}}

File:2-split_variant_b.png|{{BlueprintString|bp-string=0eNqVlNFugzAMRX8F+WmTwkpSSlc+Y6/TVEEbdZZoYMGphir+fYZOHVrTijwhQu7J9Y3xGcrK6caiIcjPgLvatJC/n6HFgymqYY26RkMOJ7TkeEWAKY7DwmVHrKAXgGavvyGXvQhQvk2UyqtE0seJrKmQSNuJbDlDRrYwbVNbiktd0USc9h8CtCEk1Jeix5dua9yx5GNyeY8hoKlbltVmOJVRMW/t+JH2g6F/GDUbkzygLIPNLH2YNBijfJjVbMzVjIA9Wr27fFIeZnZ707cJvaweuFpfCY6v2B5szc/HWQ++ftumdtS4oUFuuK+hoSU+d5sZ9cXXAqUPIZPA3L1GpAy9Pb8ZFRx38pc2mjthy+BO97tLQ+L2tpNcBXSk30QWWov3p5XrwBHCFJ5t4xzMJxNeQFWwjNdUPFYUWTx8UvRUdtHCLZzBL6e36jkqeetJ23bkZmmqsmytpNr0/Q+uzw2D}}
</gallery>

Putting a lane-balancer after a split-off is not necessary most of the time as the rest moves on if the belt has no draw or if only one lane is used.
If there is enough input for the item to saturate a whole belt then putting a lane-balancer in wont help to get more items later on.
Putting a lane-balancer after an inherently balanced build that produces the item is also not necessary as then half of the production pauses and the other half fills the moving lane to saturation.
The following is a split-off off a 4-wide bus.

<gallery mode="nolines" widths=224px heights=256px >
File:4-split_l.png|{{BlueprintString|bp-string=0eNqlld1qhDAQhV+lzHUsxv/6DPsGpRTdDUvAjRLjUhHfvaPWVTBbMu1VcPR8OTOTMQOUVScaLZWBfAB5rlUL+fsArbyqoppipm8E5HCX2nQYYaCK2xRYvvAiGBlIdRFfkPOREZSnnTKwKqURt01mdKHaptbGK0VlduLwP+Jo/GAglJFGiiX1+aH/VN2tFBqTejA6VOirrnFdKAyaukVhraZ9EeYFDHpc0NFqo+5M000bHsABAewTuCHFMCeAo2fVPGAfVAsl/kM9+WZPqifuEmd3KxUPHVykFuflXWKBpu5Q7gzNtkloKmkMxo44/zVec7cg3qitCGwU7lMxVjOcuyTEfxLyrYiA2j27k9DBif+rkYg8lS6Hk8f0oXTiJsQO2suWUhpoP0oZofJIwJ/u/IPOdxcQg6pA7xiLvBnyMl0ad6HbZZSyNOBZmPhhNI7frCw6ag==}}

File:4-split_lr.png|{{BlueprintString|bp-string=0eNqdld9qgzAUxl9lnOs4TBq19Rl6tdsxhrahBGyUGMuK+O476jqFxpGzq+DR75fv/DHpoaw61VhtHOQ96FNtWsjfe2j1xRTVGHP3RkEON21dhxEGpriOgfmLSMLAQJuz+oKcD8yj1E5dF5mzhWmb2rqoVJVbiYVXvLXtcaXckZRvK6UcPhgo47TTas57erh/mu5aKosZ/ao7VNiLrXGdnTNo6haFtRk3RVgkGNxxQTsPD3Xnmm5M8gksCOCYwN1RDHMCWBLAFG7yjwrzBazNBjfdmrhNKg4gnLVVp/ld6oFmwdDYyxQe5j7cKA82elimvqm0cxh7xsWvyaOeHgSP6R0PaQznwQnz4CJyEZIw/0k49ua7o06Mv2wywEn8p5GEfDYE1T2lHw1B3IzYT3/Z9pQGCi/iQKg8EvDon66mfHUHMqgK9I4xGU2Ql2qE3JRt539NSpGmmeDiMAzfI+ZmDA==}}

File:4-split_r.png|{{BlueprintString|bp-string=0eNqlldFugzAMRX9l8nOYcEih5TP2Ok0TbaMqEgQUQjVU8e8LdAy0hirWniIM9+TajsMNjmUnG6O0hfwG6lTrFvL3G7TqootyjNm+kZDDVRnbuQgDXVRj4P5FJGBgoPRZfkGOAyMo31ZK7lUqK6tFZk2h26Y2NjrK0q7EyX/EYvhgILVVVsl76tND/6m76iiNS2qLwaCpWyer9birQ0WcQe+WZBgN/cHwX0znNjYXU7t1AxTPHDYnU3e26UbbD9yEwI2QABYEMIW7I9eT++qZkjHow2TBmHg2w+CsjDzdX3EPc7+c9KZU1rrYo6n4dffE1iHYFgbbwpjeUVw6qvRGQxFD8sWffGNfusip3fRWDZMAJ/FTI4I8pkEl2tGnNIibEs+Jv2wZpYHeacQ9ofKO4O7c6X7OV/8fBmXhvLuYiCbIy8i4StNOiFQInqYZR34Yhm/sYzpB}}
</gallery>

Taking two belts off of this wont produce two belts worth of output, the middle one only carries ''half a belt'' to each side!
As of 0.16 Splitters can prioritize one in- and output lane, therefore the above design can supply fully saturated belts, if the splitters are set up in a way that prioritizes the output belt (to earlier production) rather than letting items go on.

The following are two designs for a split-off off a 4-wide bus that feature an in-line lane-balancer(by reddit user [https://www.reddit.com/user/moomaka /u/moomaka]).
<gallery mode="nolines" widths=224px heights=288px >
File:4-split_l_lane.png|{{BlueprintString|bp-string=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}}

File:4-split_r_lane.png|{{BlueprintString|bp-string=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}}
</gallery>

The way materials are split off the main bus can inhibit throughput if done incorrectly, which the setups above avoid.
In addition it determines which production setups in the factory are prioritized in distributing materials if the bus delivers less input than all the setups combined need.
The split-offs shown above generally prefer setups near the start of the main bus but will also supply some limited materials to the later setups.
There are alternative designs, for example a ''priority splitter'' will fully prefer the setups near the start of the main bus and only allow materials to go through to a later setup if that earlier setup's needs are satisfied.
Designing a priority splitter for four belts that does not inhibit throughput and is still reasonably small is a nontrivial endeavor.
Since this is based on the premise that the bus has less resource input than the factory needs, one advice here is to add more resource input whenever this becomes a concern.

== See Also ==
* [[Tutorial:Transport_use_cases|What Transport for which case?]]
* [[Belt transport system]]
* [[Balancers|Belt balancers]]
* [[Logistic network]]
* [[Railway]]
* [[Splitter]]

Balancer mechanics

2018-05-25T15:28:34Z

GXExpress: /* Input and Output Balanced */ Renamed blueprint book from "IO_Balancers" to "IO_Lane_Balancers" so it is a closer match to the name in the wiki

{{Languages}}
Balancers are used to evenly distribute items over multiple belts or multiple belt lanes.

Belt balancers are usually used to balance multiple belts before or after train stations to ensure even loading of buffer chests and train wagons. They are also used to even out production by placing them in front of large machine arrays with multiple input belts. Belt balancers do not balance the individual belt lanes!

Lane balancers are usually placed after production to ensure that a belt is fully compressed or before consumption to ensure that both lanes of the belt are evenly drained.

== Lane Balancers ==
=== Input Unbalanced, Output Balanced ===

These balancers evenly distribute the items onto the output lanes but do not "pull" evenly from the input lanes when the output is backed up. They are input unbalanced.

The last two balancers are a special case, they only work when there are items on only one side of the input belt.

<gallery mode="packed" heights=250px>
File:Transport_belts_balance2.gif
File:Corner-lane_balancer.gif
File:Transport_belts_balance1.gif
File:One_lane-corner-lane_balancer.gif
</gallery>

=== Input Balanced, Output Unbalanced ===

These balancers evenly distribute the items onto the output lanes and "pull" evenly from the input lanes when the output is backed up. They are input balanced. These balancers are not output lane-balanced, this means when there is less than 100% input, the output lanes are not balanced.

<gallery mode="packed-hover" heights=200px>
File:Input balanced-lane balancer-2belt-smaller.png|2 Belts v.1
File:Input_balanced-lane_balancer-4belt-smaller_b.png|4 Belts v.1
File:Input_balanced-lane_balancer-4belt_b.png|4 Belts inline v.1
</gallery>

=== Input and Output Balanced ===

These balancers always evenly distribute the items onto the output lanes and "pull" evenly from the input lanes.

<gallery mode="packed-hover" heights=180px>
File:Input_balanced-lane_balancer-1belt.png|1 Belt
File:Input_balanced-lane_balancer-2belt.png|2 Belts
File:Input_balanced-lane_balancer-4belt-smaller.png|4 Belts
File:Input_balanced-lane_balancer-4belt.png|4 Belts inline
</gallery>

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== Belt Balancers ==
These belt balancers are all tested to be input balanced and output balanced. Remember, belt balancers do not balance the individual belt lanes! Throughput under full load is 100% and min throughput with blocked in- and outputs is also tested, it is noted when that is under 100%. Tests are done using [https://forums.factorio.com/viewtopic.php?f=69&t=34182 this handy tool] by d4rkpl4y3r on the Factorio Forums. When there are multiple versions of balancers that have the same stats but different sizes, the balancer with the smallest footprint is shown.

Blueprint book of all balancers from 1 → 1 to 8 → 8 :
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}}

<div class="toccolours mw-collapsible mw-collapsed">
=== 1 belt → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=180px>
File:1to2_balancer.png|'''1 to 2'''
File:1to3_balancer.png|'''1 to 3''': Throughput can go down to 50%.
File:1to4_balancer.png|'''1 to 4'''
File:1to5_balancer.png|'''1 to 5''': Throughput can go down to 50%.
File:1to6_balancer.png|'''1 to 6''': Throughput can go down to 50%.
File:1to7_balancer.png|'''1 to 7''': Throughput can go down to 50%.
File:1to8_balancer.png|'''1 to 8'''
File:1to16_balancer.png|'''1 to 16'''
</gallery>

</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 2 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=200px>
File:2to1_balancer.png|'''2 to 1'''
File:2to2_balancer.png|'''2 to 2'''
File:2to3_balancer_a.png|'''2 to 3''': Throughput can go down to 75%.
File:2to3_balancer_b.png|'''2 to 3''': Throughput can go down to 75%.
File:2to4_balancer.png|'''2 to 4''': Throughput can go down to 50%.
File:2to5_balancer_b.png|'''2 to 5''': Throughput can go down to 50%.
File:2to5_balancer.png|'''2 to 5''': Throughput can go down to 50%.
File:2to6_balancer.png|'''2 to 6''': Throughput can go down to 50%.
File:2to7_balancer.png|'''2 to 7''': Throughput can go down to 50%.
File:2to8_balancer.png|'''2 to 8''': Throughput can go down to 50%.
File:2to16_balancer.png|'''2 to 16''': Throughput can go down to 50%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">

=== 3 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=200px>
File:3to1_balancer.png|'''3 to 1''': Throughput can go down to 50%.
File:3to2_balancer.png|'''3 to 2''': Throughput can go down to 75%.
File:3to3_balancer.png|'''3 to 3''': Throughput can go down to 50%.
File:3to4_balancer.png|'''3 to 4''': Throughput can go down to 83%.
File:3to5_balancer.png|'''3 to 5''': Throughput can go down to 50%.
File:3to6_balancer.png|'''3 to 6''': Throughput can go down to 50%.
File:3to7_balancer.png|'''3 to 7''': Throughput can go down to 50%.
File:3to8_balancer.png|'''3 to 8''': Throughput can go down to 50%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 4 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=220px>
File:4to1_balancer.png|'''4 to 1'''
File:4to2_balancer.png|'''4 to 2''': Throughput can go down to 50%.
File:4to3_balancer.png|'''4 to 3''': Throughput can go down to 83%.
File:4to4_balancer.png|'''4 to 4'''
File:4to5_balancer.png|'''4 to 5''': Throughput can go down to 62.5%.
File:4to6_balancer.png|'''4 to 6''': Throughput can go down to 50%.
File:4to7_balancer.png|'''4 to 7''': Throughput can go down to 50%.
File:4to8_balancer.png|'''4 to 8''': Throughput can go down to 50%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">

=== 5 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=220px>
File:5to1_balancer.png|'''5 to 1''': Throughput can go down to 50%.
File:5to2_balancer.png|'''5 to 2''': Throughput can go down to 50%.
File:5to3_balancer.png|'''5 to 3''': Throughput can go down to 50%.
File:5to4_balancer.png|'''5 to 4''': Throughput can go down to 62.5%.
File:5to5_balancer.png|'''5 to 5''': Throughput can go down to 62.4%.
File:5to6_balancer.png|'''5 to 6''': Throughput can go down to 50%.
File:5to7_balancer.png|'''5 to 7''': Throughput can go down to 62.4%.
File:5to8_balancer.png|'''5 to 8''': Throughput can go down to 62.5%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 6 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=240px>
File:6to1_balancer.png|'''6 to 1''': Throughput can go down to 50%.
File:6to2_balancer.png|'''6 to 2''': Throughput can go down to 50%.
File:6to3_balancer.png|'''6 to 3''': Throughput can go down to 50%.
File:6to4_balancer.png|'''6 to 4''': Throughput can go down to 50%.
File:6to5_balancer.png|'''6 to 5''': Throughput can go down to 50%.
File:6to6_balancer.png|'''6 to 6''': Throughput can go down to 50%.
File:6to7_balancer.png|'''6 to 7''': Throughput can go down to 50%.
File:6to8_balancer.png|'''6 to 8''': Throughput can go down to 50%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 7 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=240px>
File:7to1_balancer.png|'''7 to 1''': Throughput can go down to 50%.
File:7to2_balancer.png|'''7 to 2''': Throughput can go down to 50%.
File:7to3_balancer.png|'''7 to 3''': Throughput can go down to 50%.
File:7to4_balancer.png|'''7 to 4''': Throughput can go down to 50%.
File:7to5_balancer.png|'''7 to 5''': Throughput can go down to 62.5%.
File:7to6_balancer.png|'''7 to 6''': Throughput can go down to 50%.
File:7to7_balancer.png|'''7 to 7''': Throughput can go down to 50%.
File:7to8_balancer.png|'''7 to 8''': Throughput can go down to 70%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 8 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=260px>
File:8to1_balancer.png|'''8 to 1'''
File:8to2_balancer.png|'''8 to 2''': Throughput can go down to 50%.
File:8to3_balancer.png|'''8 to 3''': Throughput can go down to 50%.
File:8to4_balancer.png|'''8 to 4''': Throughput can go down to 50%.
File:8to5_balancer.png|'''8 to 5''': Throughput can go down to 62.5%.
File:8to6_balancer.png|'''8 to 6''': Throughput can go down to 50%.
File:8to7_balancer.png|'''8 to 7''': Throughput can go down to 70%.
File:8to8_balancer.png|'''8 to 8''': Throughput can go down to 50%.
File:8to8_balancer_b.png|'''8 to 8''': Throughput can go down to 50%.
File:8to8_balancer_unlimited.png|'''8 to 8'''
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 12 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=350px>
File:12to4_balancer.png|'''12 to 4'''
File:12to12_balancer.png|'''12 to 12''': Throughput can go down to 33.3%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">

=== 16 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=400px>
File:16to16_balancer_inline.png|'''16 to 16''': Throughput can go down to 25%. Needs express underground belts for the extended length.
File:16to16_balancer_unlimited.png|'''16 to 16'''
</gallery>
</div></div>

== Mechanics ==

[[File:Balancer_Mechanics1.png|thumb|200px|right|1 full input belt gets split into two 50% full belts which get split into 4 belts that are each 25% full.]]
Belt balancers use the mechanic that splitters output items in a 1:1 ratio onto both their output belts. That means that a splitter can be used to put an equal amount of items on two belts. Since the process can be repeated infinitely, balancers with 2<sup>n</sup> output belts are easy to create.
{{clear}}
[[File:Balancer_Mechanics2b.png|thumb|450px|right|First the belts A and B go through a splitter so that the output belts contain an equal amount of items from each input belt (AB). The same is done with belts C and D. Then the mixed belts AB and CD go through splitters so that their output belts contain items from each input belt (ABCD)!]]
Balancers also use the mechanic that splitters take an equal amount of items from both input belts. That means that a splitter connected to two input belts will evenly distribute those items onto the the two output belts. To balance belts it has to be made sure that the output belts contain an equal number of items from each input belt.
{{clear}}

=== Throughput ===
[[File:4to4_balancer_throughput_limit_demo.gif|right|384px]]
The above collection of balancers often states that the throughput of a balancer can go down to x% which means that the balancer is '''throughput limited'''. To be '''throughput ''un''limited''', a balancer must fulfil the following conditions:
#100% throughput under full load.
#Any arbitrary amount of input belts should be able to go to any arbitrary amount of output belts.

All balancers in the collection meet the first condition, but only some meet the second one. This is the case because the balancers have internal bottlenecks. The gif on the right shows a 4 → 4 balancer being fed by two belts, but only outputting one belt which means that its througput in that arrangement is 50%. The bottleneck in this balancer is that the two middle belts only get input from one splitter. So, if only one side of that splitter gets input, as can be seen in the gif, it can only output one belt even though the side of the splitter is fed by a splitters which gets two full belts of input. In this particular case, the bottleneck can be fixed by feeding the two middle output belts with more splitters. This is done by adding two more splitters at the end of the balancer, as it can be seen here: [[File:4to4_balancer.png|center|125px]]

However most balancers' bottlenecks can't be solved as easily. A guaranteed method to achieve throughput unlimited balancers is to place two balancers back to back that fulfil the first condition for throughput unlimited balancers (100% throughput under full load). The resulting balancer is usually larger than a balancer that was initially designed to be throughput unlimited. This is the case because they use more splitters than the minimum required amount of {{Key|n×log<sub>2</sub>(n)−n÷2}} <small>where n is the (power-of-two) number of belts</small> splitters for a throughput unlimited balancer.
{{clear}}

== References ==
* [https://forums.factorio.com/viewtopic.php?f=69&t=34182 Command line belt balancer analyzer]
* [https://www.reddit.com/r/factorio/comments/4gj8x4/my_take_on_4_belt_lane_balancers/ Collection of lane balancers]
* [https://www.reddit.com/r/factorio/comments/5njgy4/yet_another_belt_balancer_compendium/ Best collection of belt balancers, most of them are used here.]

== See also ==
* [[Belt transport system]]
** [[Splitters]]
** [[Transport belts]]
** [[Underground belts]]

Balancer mechanics

2018-05-25T15:24:51Z

GXExpress: /* Input and Output Balanced */ Added blueprint book for pictured Input/Output balancers including fast and express versions

{{Languages}}
Balancers are used to evenly distribute items over multiple belts or multiple belt lanes.

Belt balancers are usually used to balance multiple belts before or after train stations to ensure even loading of buffer chests and train wagons. They are also used to even out production by placing them in front of large machine arrays with multiple input belts. Belt balancers do not balance the individual belt lanes!

Lane balancers are usually placed after production to ensure that a belt is fully compressed or before consumption to ensure that both lanes of the belt are evenly drained.

== Lane Balancers ==
=== Input Unbalanced, Output Balanced ===

These balancers evenly distribute the items onto the output lanes but do not "pull" evenly from the input lanes when the output is backed up. They are input unbalanced.

The last two balancers are a special case, they only work when there are items on only one side of the input belt.

<gallery mode="packed" heights=250px>
File:Transport_belts_balance2.gif
File:Corner-lane_balancer.gif
File:Transport_belts_balance1.gif
File:One_lane-corner-lane_balancer.gif
</gallery>

=== Input Balanced, Output Unbalanced ===

These balancers evenly distribute the items onto the output lanes and "pull" evenly from the input lanes when the output is backed up. They are input balanced. These balancers are not output lane-balanced, this means when there is less than 100% input, the output lanes are not balanced.

<gallery mode="packed-hover" heights=200px>
File:Input balanced-lane balancer-2belt-smaller.png|2 Belts v.1
File:Input_balanced-lane_balancer-4belt-smaller_b.png|4 Belts v.1
File:Input_balanced-lane_balancer-4belt_b.png|4 Belts inline v.1
</gallery>

=== Input and Output Balanced ===

These balancers always evenly distribute the items onto the output lanes and "pull" evenly from the input lanes.

<gallery mode="packed-hover" heights=180px>
File:Input_balanced-lane_balancer-1belt.png|1 Belt
File:Input_balanced-lane_balancer-2belt.png|2 Belts
File:Input_balanced-lane_balancer-4belt-smaller.png|4 Belts
File:Input_balanced-lane_balancer-4belt.png|4 Belts inline
</gallery>

{{BlueprintString|bp-string=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}}

== Belt Balancers ==
These belt balancers are all tested to be input balanced and output balanced. Remember, belt balancers do not balance the individual belt lanes! Throughput under full load is 100% and min throughput with blocked in- and outputs is also tested, it is noted when that is under 100%. Tests are done using [https://forums.factorio.com/viewtopic.php?f=69&t=34182 this handy tool] by d4rkpl4y3r on the Factorio Forums. When there are multiple versions of balancers that have the same stats but different sizes, the balancer with the smallest footprint is shown.

Blueprint book of all balancers from 1 → 1 to 8 → 8 :
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}}

<div class="toccolours mw-collapsible mw-collapsed">
=== 1 belt → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=180px>
File:1to2_balancer.png|'''1 to 2'''
File:1to3_balancer.png|'''1 to 3''': Throughput can go down to 50%.
File:1to4_balancer.png|'''1 to 4'''
File:1to5_balancer.png|'''1 to 5''': Throughput can go down to 50%.
File:1to6_balancer.png|'''1 to 6''': Throughput can go down to 50%.
File:1to7_balancer.png|'''1 to 7''': Throughput can go down to 50%.
File:1to8_balancer.png|'''1 to 8'''
File:1to16_balancer.png|'''1 to 16'''
</gallery>

</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 2 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=200px>
File:2to1_balancer.png|'''2 to 1'''
File:2to2_balancer.png|'''2 to 2'''
File:2to3_balancer_a.png|'''2 to 3''': Throughput can go down to 75%.
File:2to3_balancer_b.png|'''2 to 3''': Throughput can go down to 75%.
File:2to4_balancer.png|'''2 to 4''': Throughput can go down to 50%.
File:2to5_balancer_b.png|'''2 to 5''': Throughput can go down to 50%.
File:2to5_balancer.png|'''2 to 5''': Throughput can go down to 50%.
File:2to6_balancer.png|'''2 to 6''': Throughput can go down to 50%.
File:2to7_balancer.png|'''2 to 7''': Throughput can go down to 50%.
File:2to8_balancer.png|'''2 to 8''': Throughput can go down to 50%.
File:2to16_balancer.png|'''2 to 16''': Throughput can go down to 50%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">

=== 3 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=200px>
File:3to1_balancer.png|'''3 to 1''': Throughput can go down to 50%.
File:3to2_balancer.png|'''3 to 2''': Throughput can go down to 75%.
File:3to3_balancer.png|'''3 to 3''': Throughput can go down to 50%.
File:3to4_balancer.png|'''3 to 4''': Throughput can go down to 83%.
File:3to5_balancer.png|'''3 to 5''': Throughput can go down to 50%.
File:3to6_balancer.png|'''3 to 6''': Throughput can go down to 50%.
File:3to7_balancer.png|'''3 to 7''': Throughput can go down to 50%.
File:3to8_balancer.png|'''3 to 8''': Throughput can go down to 50%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 4 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=220px>
File:4to1_balancer.png|'''4 to 1'''
File:4to2_balancer.png|'''4 to 2''': Throughput can go down to 50%.
File:4to3_balancer.png|'''4 to 3''': Throughput can go down to 83%.
File:4to4_balancer.png|'''4 to 4'''
File:4to5_balancer.png|'''4 to 5''': Throughput can go down to 62.5%.
File:4to6_balancer.png|'''4 to 6''': Throughput can go down to 50%.
File:4to7_balancer.png|'''4 to 7''': Throughput can go down to 50%.
File:4to8_balancer.png|'''4 to 8''': Throughput can go down to 50%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">

=== 5 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=220px>
File:5to1_balancer.png|'''5 to 1''': Throughput can go down to 50%.
File:5to2_balancer.png|'''5 to 2''': Throughput can go down to 50%.
File:5to3_balancer.png|'''5 to 3''': Throughput can go down to 50%.
File:5to4_balancer.png|'''5 to 4''': Throughput can go down to 62.5%.
File:5to5_balancer.png|'''5 to 5''': Throughput can go down to 62.4%.
File:5to6_balancer.png|'''5 to 6''': Throughput can go down to 50%.
File:5to7_balancer.png|'''5 to 7''': Throughput can go down to 62.4%.
File:5to8_balancer.png|'''5 to 8''': Throughput can go down to 62.5%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 6 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=240px>
File:6to1_balancer.png|'''6 to 1''': Throughput can go down to 50%.
File:6to2_balancer.png|'''6 to 2''': Throughput can go down to 50%.
File:6to3_balancer.png|'''6 to 3''': Throughput can go down to 50%.
File:6to4_balancer.png|'''6 to 4''': Throughput can go down to 50%.
File:6to5_balancer.png|'''6 to 5''': Throughput can go down to 50%.
File:6to6_balancer.png|'''6 to 6''': Throughput can go down to 50%.
File:6to7_balancer.png|'''6 to 7''': Throughput can go down to 50%.
File:6to8_balancer.png|'''6 to 8''': Throughput can go down to 50%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 7 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=240px>
File:7to1_balancer.png|'''7 to 1''': Throughput can go down to 50%.
File:7to2_balancer.png|'''7 to 2''': Throughput can go down to 50%.
File:7to3_balancer.png|'''7 to 3''': Throughput can go down to 50%.
File:7to4_balancer.png|'''7 to 4''': Throughput can go down to 50%.
File:7to5_balancer.png|'''7 to 5''': Throughput can go down to 62.5%.
File:7to6_balancer.png|'''7 to 6''': Throughput can go down to 50%.
File:7to7_balancer.png|'''7 to 7''': Throughput can go down to 50%.
File:7to8_balancer.png|'''7 to 8''': Throughput can go down to 70%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 8 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=260px>
File:8to1_balancer.png|'''8 to 1'''
File:8to2_balancer.png|'''8 to 2''': Throughput can go down to 50%.
File:8to3_balancer.png|'''8 to 3''': Throughput can go down to 50%.
File:8to4_balancer.png|'''8 to 4''': Throughput can go down to 50%.
File:8to5_balancer.png|'''8 to 5''': Throughput can go down to 62.5%.
File:8to6_balancer.png|'''8 to 6''': Throughput can go down to 50%.
File:8to7_balancer.png|'''8 to 7''': Throughput can go down to 70%.
File:8to8_balancer.png|'''8 to 8''': Throughput can go down to 50%.
File:8to8_balancer_b.png|'''8 to 8''': Throughput can go down to 50%.
File:8to8_balancer_unlimited.png|'''8 to 8'''
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">
=== 12 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=350px>
File:12to4_balancer.png|'''12 to 4'''
File:12to12_balancer.png|'''12 to 12''': Throughput can go down to 33.3%.
</gallery>
</div></div>

<div class="toccolours mw-collapsible mw-collapsed">

=== 16 belts → x belts ===
<div class="mw-collapsible-content">

<gallery mode="packed" heights=400px>
File:16to16_balancer_inline.png|'''16 to 16''': Throughput can go down to 25%. Needs express underground belts for the extended length.
File:16to16_balancer_unlimited.png|'''16 to 16'''
</gallery>
</div></div>

== Mechanics ==

[[File:Balancer_Mechanics1.png|thumb|200px|right|1 full input belt gets split into two 50% full belts which get split into 4 belts that are each 25% full.]]
Belt balancers use the mechanic that splitters output items in a 1:1 ratio onto both their output belts. That means that a splitter can be used to put an equal amount of items on two belts. Since the process can be repeated infinitely, balancers with 2<sup>n</sup> output belts are easy to create.
{{clear}}
[[File:Balancer_Mechanics2b.png|thumb|450px|right|First the belts A and B go through a splitter so that the output belts contain an equal amount of items from each input belt (AB). The same is done with belts C and D. Then the mixed belts AB and CD go through splitters so that their output belts contain items from each input belt (ABCD)!]]
Balancers also use the mechanic that splitters take an equal amount of items from both input belts. That means that a splitter connected to two input belts will evenly distribute those items onto the the two output belts. To balance belts it has to be made sure that the output belts contain an equal number of items from each input belt.
{{clear}}

=== Throughput ===
[[File:4to4_balancer_throughput_limit_demo.gif|right|384px]]
The above collection of balancers often states that the throughput of a balancer can go down to x% which means that the balancer is '''throughput limited'''. To be '''throughput ''un''limited''', a balancer must fulfil the following conditions:
#100% throughput under full load.
#Any arbitrary amount of input belts should be able to go to any arbitrary amount of output belts.

All balancers in the collection meet the first condition, but only some meet the second one. This is the case because the balancers have internal bottlenecks. The gif on the right shows a 4 → 4 balancer being fed by two belts, but only outputting one belt which means that its througput in that arrangement is 50%. The bottleneck in this balancer is that the two middle belts only get input from one splitter. So, if only one side of that splitter gets input, as can be seen in the gif, it can only output one belt even though the side of the splitter is fed by a splitters which gets two full belts of input. In this particular case, the bottleneck can be fixed by feeding the two middle output belts with more splitters. This is done by adding two more splitters at the end of the balancer, as it can be seen here: [[File:4to4_balancer.png|center|125px]]

However most balancers' bottlenecks can't be solved as easily. A guaranteed method to achieve throughput unlimited balancers is to place two balancers back to back that fulfil the first condition for throughput unlimited balancers (100% throughput under full load). The resulting balancer is usually larger than a balancer that was initially designed to be throughput unlimited. This is the case because they use more splitters than the minimum required amount of {{Key|n×log<sub>2</sub>(n)−n÷2}} <small>where n is the (power-of-two) number of belts</small> splitters for a throughput unlimited balancer.
{{clear}}

== References ==
* [https://forums.factorio.com/viewtopic.php?f=69&t=34182 Command line belt balancer analyzer]
* [https://www.reddit.com/r/factorio/comments/4gj8x4/my_take_on_4_belt_lane_balancers/ Collection of lane balancers]
* [https://www.reddit.com/r/factorio/comments/5njgy4/yet_another_belt_balancer_compendium/ Best collection of belt balancers, most of them are used here.]

== See also ==
* [[Belt transport system]]
** [[Splitters]]
** [[Transport belts]]
** [[Underground belts]]

User:GXExpress

2018-05-25T15:21:12Z

GXExpress: Spelling

Plays Factorio. Wants to make a couple small improvements to the wiki like adding blueprint strings for existing images.

Logistic network

2018-05-24T19:40:58Z

GXExpress: Added blueprint string for example image of logistic robot train station

{{Languages}}
[[File:RoboTrainStation.gif|thumb|700x560px|right|''This gif shows how robots can load or unload chests in a train station. The train delivers items that are filled into [[active provider chest]]s and then put into the [[requester chest]]s to be loaded onto belts.'' Logistics robots are ideal in train stations, since very high item throughput on a short distance is needed. {{BlueprintString|bp-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}}]]

A [[Logistic network]] is a series of different logistics chests and [[Logistic robot]]s all covered by one or more connected [[Roboport]]s.

Depending on the type and configuration of the chests and area of the [[Robotic network]] the robots will transport items between these chests as a power-hungry alternative to moving items manually, or by [[Belt transport system|belts]] or [[Railway]]. However, robots offer much higher mobility, since they can fly over obstacles in a beeline.

The player character can also act as [[Requester chest]] in the [[Logistic network]], allowing them to 'request' various items be kept at a set limit within their personal inventory. After [[Research|researching]] [[Character logistic slots (research)|Character logistic slots]], they can configure an amount of items; and [[Logistic robot]]s will start to move the specified items from the network to the character's inventory.

Do not mix up logistics network and [[circuit network]]. They share common components, but are otherwise disconnected and do not exchange any information. Also, do not mix up logistic network with construction network or combinations of the two called [[Robotic network]].

== Achievements ==
{{Achievement|you-have-got-a-package}}
{{Achievement|delivery-service}}
{{Achievement|logistic-network-embargo}}

== Items ==
{| class="wikitable"
!style="width: 220px;" |Entity
!Description
|-
| {{imagelink|Roboport}} || Center of the [[robotic network]] in which the [[Robots]] operate. Roboport coverage defines the area of the logistic network. Robots need to periodically return here to recharge.
|-
| {{Imagelink|Logistic robot}} || Moves items between logistic chests.<sup>1</sup>
|-
| {{Imagelink|Active provider chest}} || Logistic chest: Pushes stored items into the logistic network.<sup>2</sup>
|-
| {{Imagelink|Passive provider chest}} || Logistic chest: Places stored items at the logistic network's disposal.<sup>2</sup>
|-
| {{Imagelink|Storage chest}} || Logistic chest: Stores items currently not requested. Can be filtered to only store one type of item. Supplies stored items to the Logistic network.<sup>2</sup>
|-
| {{Imagelink|Requester chest}} || Logistic chest: Will be filled by [[logistic robot]]s until the configured amount is reached, or the chest becomes full. Can request multiple different types of items.<sup>2</sup>
|-
| {{Imagelink|Buffer chest}} || Logistic chest: Functions as both a [[requester chest]] and [[passive provider chest]].<sup>2</sup>
|}

(1) Default capacity is 1 item per robot. This can be increased by researching [[Worker robot cargo size (research)]].

(2) Logistic chests can also be connected to the [[Circuit network]] with [[red wire]] or [[green wire]].

== Usage ==

To start with, just use passive provider- and requester chests. Place the passive provider chests at the output [[inserters]] of [[assembling machine]]s and requester chests at the input (let them request the needed items). Place a [[roboport]], which covers these chests with the inner orange area. Place some logistic bots in the roboport. The robots will fly out of the top hatch and will begin to work. You can now limit the number of produced item with the [[Stack#Stack limitation|stack limitation]]-feature.

The logistic network is makes it possible to create complex items in a relatively small factory area, but its throughput is limited by how many robot charge points (roboports) exist in the network.

[[File:Roboport_network_gui.png|thumb|right|200px|Supply area 50x50 tiles (orange); Construction area 110x110 tiles (green)]]
The basic thing needed for item transportation is [[roboport]]s. The roboport shows the orange logistic coverage and the green construction coverage when held in the cursor or hovered after placing.

* The orange zone is the logistic network coverage. This is also the maximum distance for connecting two roboports.
* The green zone is the construction area.

:''For more info on the specifics of how [[roboport]]s work, check the page dedicated to them.''

=== Expanding the logistic zone ===

There can be many separate logistic networks. Two roboports are in the same network only if they are connected, so if their logistic areas are touching. Visually this is represented by a dashed yellow line connecting them.
To prevent roboports from linking, the player needs to build them far enough away from each other so that the orange zones don't touch.

Bots do not fly migrate from one network to another, unless their home network is destroyed in some way, for example when all roboports are removed or out of power.

=== Losing bots ===

Logistics robots are a priority target of biters, and the [[enemies]] will prioritize attacking them over many objects in the vicinity of the robots.

Bots are not destroyed when running out of energy, but will be reduced to 20% of their speed, which allows them to slowly fly to the next recharge point.

Robots may run out of charge on longer journeys. When the charging-queue for the bots gets too long, the bots (and their loads) will slow down. Generally, a roboport can charge between 50 and 70 bots per min, 4 at a time, but are not very efficient at charging large queues of bots and can quickly become overworked. Place more roboports near the first one to share the load.

=== Negative numbers ===
It is possible to notice negative numbers on the 'Logistic Network'-Screen when looking at network storage or opening the logistic networks GUI the with {{Keybinding|L}}.

The logistic network numbers report items in provider and storage chests, ''minus the amount of items scheduled to be picked up by robots.'' When negative numbers are shown, it means that more items are being requested than are available in the network. There is a deficit. This can be a problem, or intended, depending on the player's choice. The negative value is just to explain why items aren't being delivered. For example, a deficit of 20 iron plates would look like this:

{{icon|iron plate|-20}}

=== Receiving more items than requested ===

The delivered number of items in the requester chest can be higher than requested. This depends on the researched [[Worker robot cargo size (research)|Worker robot cargo size]]-bonus, since bots will always take as much as they can carry if an unlimited amount is available.

== Priorities of robots ==

This overview reflects the priorities in which order the chests are filled/emptied.

Logistic robots on the logistic network looks for orders by the chests in this order:

* A ''requested'' item is first looked up in the active provider chests, then in buffer chests, then in the storage chests, then the passive provider chests. So, the active provider chests are emptied first, then the buffer chests, then the storage chests, then the passive provider chests.
* If robots are free and there is space left in storage chests, and there are unrequested items in an active provider chests, the items are moved from active provider to a storage chest that has the filter set to that item type. If there is no storage chest filtered to that item type the item will just be moved into any free storage chest without an item filter.
* For the storage chests, the bots search for one storage which has its filter set to the item type, then for one that already stores items of the same type. If that can't be found, they choose the first storage chest with a free slot from the list, which is sorted by the order they were built in. [https://www.reddit.com/r/factorio/comments/5udwkd/hey_devs_this_is_the_one_thing_that_really_bugs/ddwbr94/] This is to avoid having storage chests with different items inside, allowing greater organisation.

Storage chests will be filled with items from active provider chests, and from robots that have had their orders cancelled while they were carrying items.

=== Order of movement ===
The bots fulfill '''all requests with the same priority'''. The algorithm looks for the next free robot, then the next request in the queue and after giving orders to the robot, this request is put at the end of the queue, so that first all other requests are done.

=== Distance ===
When looking to pick up requested items from multiple chests of equal priority, bots will always choose the closest one. [https://forums.factorio.com/viewtopic.php?f=6&t=40329&p=238918#p238901] This is however only true when an item is being requested, not when an item is sent away. [https://gfycat.com/HatefulUnlawfulErmine] In the case of items being sent into the logistics network distance does not matter, and the rules laid out above matter instead.

== See also ==
* [[Robotic network]]
* [[Roboport]]
* [[Logistic robot]]
* [[Construction robot]]

[[Category:Logistic network]]

File:RoboTrainStation.gif

2018-05-24T19:37:01Z

GXExpress: Added a blueprint for a station of near-identical design for anybody who wants to build a station like this one.

{{Screenshot}}A train station running with robots, made by u/demodude4u [https://www.reddit.com/r/factorio/6jbryk/]
Blueprint for a similar station: {{BlueprintString|bp-string=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}}