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Yet another belt balancer compendium

Posted: Thu Jan 12, 2017 1:55 pm
by d4rkpl4y3r
I finally finished my own belt balancer compendium. Inside are all balancers with up to 8 input and output belts plus some additional balancers that I had still lying around.

For example this compact throughput unlimited 8 belt balancer:
Image

Balancers that I am relatively proud of are the 3 to 4, 4 to 5 and 4 to 8 belt balancers.
The ugliness award goes to the 8 to 5 belt balancer, it is really hideous.

You can find all images in this imgur album. The blueprint strings are all neatly packed in the attached zip file.

The full list of conditions for my compendium is:
  • * Output balanced
    * Input balanced
    * Throughput under full load >= 99.9%
    * Min throughput >= 49.9% (only for balancers with up to 8 input and output belts)
    * Input belts all beside each other and the same for output belts (only for balancers with up to 8 input and output belts)
    * Smallest footprint that satisfies all the above
To verify that all balancers meet those conditions, I used my command line belt balancer analyzer.

Re: Yet another belt balancer compendium

Posted: Mon Jan 16, 2017 4:22 pm
by lotzik
Amazing! Was looking for this, thanks!

Re: Yet another belt balancer compendium

Posted: Fri Apr 28, 2017 12:51 pm
by d4rkpl4y3r
I created a vanilla 0.15 blueprint book string for the compendium: https://pastebin.com/24NZkPsa

Re: Yet another belt balancer compendium

Posted: Sat Apr 29, 2017 7:16 pm
by isaac868
That blueprint sting was potentially the most helpful thing I've ever seen (factorio related). Many thanks!

Re: Yet another belt balancer compendium

Posted: Tue May 09, 2017 4:56 pm
by FalcoGer
I added the yellow and red variants and removed the trivial stuff like 1-1, 1-2, 1-4, 1-8, 2-1, 2-2, 2-4, 2-8, 4-1, 4-2, 8-1, 8-2

I also changed the naming convention to
COLOR"-"IN'-'OUT' Balancer'
Where COLOR = Y, R, B for yellow, red and blue belts respectively
IN = input belt count
OUT = output belt count

I did this to sort by color, then by input belt and then by output belt in this order.

Also, since I have no life, I added the in and output count into the blueprint icons with the number-signal icons.

Blueprint Book:

Code: Select all

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

Re: Yet another belt balancer compendium

Posted: Sun May 14, 2017 1:38 pm
by sparr
Can you describe the criteria you used when designing these? I notice a bunch of them stick out to the sides, so they aren't strictly inline. Are they lowest area?

Re: Yet another belt balancer compendium

Posted: Sun May 14, 2017 1:48 pm
by d4rkpl4y3r
sparr wrote:[...] so they aren't strictly inline. Are they lowest area?
I am pretty sure that the conditions in my OP were pretty unambiguous, but yes no inline and smallest area to satisfy the other conditions.

Re: Yet another belt balancer compendium

Posted: Sun May 14, 2017 2:40 pm
by steinio
Hi,

nice work but i guess you inserted the 1-1 and 1-2 only as a joke.

This would be real examples of 1-1 and 1-2 if you like:
balancer.png
balancer.png (473.93 KiB) Viewed 70543 times
Greetings, steinio.

Re: Yet another belt balancer compendium

Posted: Sun May 14, 2017 4:23 pm
by sparr
I will second steino's semi-suggestion that lane balancers be included for small belt counts.

However I would prefer they be the unlimited throughput variety.

Re: Yet another belt balancer compendium

Posted: Sun May 14, 2017 5:08 pm
by d4rkpl4y3r
I disagree with both of you though. This compendium is a complete set of balancers that all have to follow the same conditions. There will not be some arbitary threshold of "small" balancers that are lane balancers when the rest is not. Also this is specifially a compendium of balancer which do not need to satisfy the throughput unlimited category. I am working on throughput unlimited balancers from time to time and if I ever finish a full compendium I will release it. But they are gigantic monsters from 5+ belts on and each take already an absurd amount of time to optimize.

Re: Yet another belt balancer compendium

Posted: Sun May 14, 2017 10:46 pm
by Trollsama
FalcoGer wrote:I added the yellow and red variants and removed the trivial stuff -snip-
Blueprint Book:
I dont like too many blueprints in a single book, so i further sorted down to 3 individual books, 1 for each tier of belt if anyone alse is as pointlessly picky as i am :P
Yellows:

Code: Select all

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pcSyc7petL+otY9rDMtvZhJqVUIVqBPpBiVehVnbBaIuXnvaXqWc9ODOBhP5VhXHyFm1qys6mJvfpJS8As+jsMl6FrNQwEI0DsYDz/YnS7ZkgNtniCMJDFcv88laYVOZIDCrnZAqjyoSDKpN7bC7ztMr8CADAkCV/rkeAsnwEyHTH+0QMWNgqzx8NnDMF2F85P6YHe20sdEZI7o+vcdSnTml+PDhlOa4jQ/aDT3MO+j7rarlrAkpvMtqR7mm3t2AS2VYPEk9OivWDxJis5Do6jPeuufObI2CzfLR2yu2FlEyRK0QobFMc8qXBhtfsAn25qa+z3Uu5ZWD3Io+3e5G9dFKhVjn4wT0aLZ2wcLpPKOk+UpWDkqschJL1U6SrPjLRzQnWvn73K3PMGDM+8p2/54XtSMIjgR6OqG0ZDhcKnbS+hO3EtRWaDIc75xyRDwaEHt7+TEs3N1pSRCjt64rPl5HGh9WdOo63WvfCTVCqjVEyKWGUvVCQPJr4bXCQye08i+ixYAll547zrPT+GRU2RNoWGuNMo+FqwPkJR4ATjj7eCUc/J9pudrUxLHbe1Zcg7q7CcSsF8dEo9JSOB1imP4IDT7PMt8dpSw9cXsh+KH5aElLzmpLYtwZpMzpxd7htEL7UTOWAUuJ9jblTRhi4k8Ox9Vrpq3N9/LLjZL8EOAkOcUfHPdsBcXlpnsmFQ6xy+SZ+2C/bDLLqrqrUyI/fZZFjcpow3CCeQ7pqUKOr0czPBe0FC/0sN9RVjhumUZqO6NTeRUeYpQ1Q3Ox2b7oQdCZ8v5XpDgiK7cC1FA4Nt3LoKi3OeelR2q0djFlMwZk9LspsDkN0hQLR1T0QXeMQZb6weItH2weaR8Ueb/Jlny6LV10s3mWI7v/HHinGaMuYjkPOoEs2DLrGSNxEAtdm0phpJae0UK+RlROFy7YNKfyPMORKrCGX+mHHx44hUtpgulmQ7G94wwaWe0qc0dfFiMkWR0zTeywUJwZe0susoQIwvH0XTwjpK0xUtK/fkr2C9g1K++pG7ygnYQR5IHNU5R/NiKo7nuCao2ijBLn6BkPJEYOBVMZky/Hzt7wBHSzIseT8LMCxuJjFybklPh6qYehtgx/RnsmH9S3zIkP3TAYVSi15coxB79XgbOs2GrYoZwoFC4L/SMMsoQyzfv2WYFMXUKEu5fFGWy9boR6MrfjpyJ93hfqX0nRmabpwStP1tOBeYoYs/y8aGGfZ6ZVaMGxS/L63Aq/qye+4PPd2UTomwSp19TF7llns+Yji7GuQzzOa2UJzrBtkCBPOlBYYYPlb1cQoc1RZmPP6uugrxUIojVNpv9DPNv8KDgr9bYHY4/sKoJCKrQYiFX6jKBfcU1w8Zu/T3jNmKxuylVpxzhi5cV1XuXvacXPq/NoPCijFEkc9sLxAXJn7pYQ/9HcVUWUgSwxVsadl7h9g83LbSAHP1yAxapxSROsUsCHSaDVwgwITsttg0l9gPqLjzeqqYb+pf/BflAKDxK1fnpstuC13vmhdK5CY/pWWhm+3F3z6pcNKzfwzOaKB5IobJj0Ccs0xQensyVclmlB2qPtVl2CT02UNhsGfrVLgAovpT6hWZHh3noFcKKH2qCi1r5U9TNc9ombllhhm5ZYZWe0mOED/ZBWFFauzVQwYNZ7fDfoTd8y8W4VPjYrHWVqj6E6tU1SwdjCEp54YIljPO1zUBZCa6uNJTXWv1FQ5jNfKIQbUmKQ0uhgYfVZjXurRHa3MPsyzBcZG6ssi00QDzFDpVFhiyr4WT/eAwPVJuwod8vgWLch5qDEVaVhbWoNiXA0qR+ZTjvzefCa09UJLkigT4KTJ9Nrau1Bm+MmKS0Oqt1gYDSmFwnGUuoMa0Xb48nfAMOWgNIhqwmUZit2ZG+4HtA7lkDawPL8B/nYswp8mhmj3IX+hXHUFdT83X/eoglJjMpFberK0qYrZcig6ce2gFVg6GQtHboBuhvViM46YUuCLXSCOWmXU1xqnW9o6JXpiB67YBPUjd4IFV5Ny1GM9CMIU3aHMwBpSnjiuV3UYx5ug1FhvQ435s/3STmeQYssBP55dj/2a3GXl4lEzKxkvE9eKPM/SqrGK38pQihwRp1rCcaRagxicOhaOnM/G816Bju9vDdOJIpQeQCwaMY9b3qOyNQmrYbolm9VsSzarFVgvm/6BNZzdPF+zwY8wW1CtOqy3xdQmd396h3djNSg+/fJoOF9GkCbicxkMzredXwmcbztfBkp1nt8Qaog+v5BG0Rg7Re88YhG50yqYBKuf07+NI4N/by5FtQKKans8RbXt7ZyqHDZVVFHNFEU1URTV/IKKqnOGXoMFmDoQz15MQhWvhLqafvS1P02UXOUokhYXXD2vSh1/IBVPPsaUUPMHKP0/3+IPUB7oooVKjQIClJIX5OX5qsKJOwqpJwCrc7pFqy5v2f9JLfDTEE6UW5fwpQB7MPoYVEjFXyaZNgUhFaHhXoiwgjxSJdgBNZSDDX1QeT76gi7qSRBWToKwBaVqCyqho9IExc00HsQTtCtK0bCcH99vwik9Nw3r8GakVGHZJAhXBpIQzr05etKtB6F8MpY0VwT7a/kr2JYRlDgHknIRSpawKEWZLsjwuaw6B0rhBB9rMLEoMVFzmKbsuP4955YduG9gni9LlDKRutBD5tNcIfDs6ZdROTjN6jlLJED9LZtU6go/RBfQ17UB22GZCJheBGVMrhyU7bYEh6VwhjKQfCte4RzIwd1GATTFxWTFfzTN8K6amJh5ky15uWdq//Rbb7iePr/YviaLgz9Y3EfjcRj0FOWidjxDOldehUEF7Qoc8S2odA4IuL3EtGmJKZ+DR01v8B5zQeHvnSM7Hwyx94AiXudBM/QXf34h6G/8fBVlaNeHMfCuRwH/Ws7vqDJ6k46G69Mnq6DCxAKwtgGad388zbtv0rx/OTG3oOb9yzI9qHnr4GoMHki2IJhWBzcFH/TPl2mQPNuCmrcMloEtluc3lOGz+8U6GVGL2z3Go02jK4ERmz0YFh5+LjhkttzXsbK/fsB1uSjpyYp3cR1Y4r1OILIev8bpdSwgY+s9pmGPSNGAaJ3d/gJRxE9SgyXf4r+uEqRRW7T1+8mZxK35vg01fFyps3tMsgYQypqiEf0ajPza4J5VFgEc4HBIVxLwSK23P58/X3UhteVDZegC8M+5csNJzsww8IgVANV/X3QppCAZQGICuJ86YoI/LQ0e3pmGcNSM3K+fE20lCni21QKm3/Y7OaidX3gzgur5hfvOgolgfxVmIZGXSxDwf60nSwzucr2wok/MmarueLhJOCWMkAxK5fgPEDXw4hY7/rzy3eKBeyPm4dKE013mi2bcfIAAZN0Guvmi6i9KcbHJq+F8mqimftPFND0SCxb399QoPIG6wPAfy+oQoGYuAaf1KlCJierp+nabxOgzlRMQXkjjN2O4KFqhuCgq32fYGoP8D+nl5/5fSC6PeDF6otjjevaz99XjV+pC4RZ03WDb67bBGtcLxRoHyObnZQMSVdFvsmrY6T2EXxgsfMTgMZPMMROdcORYpbPEhPgBAerAQV+4CegweF/u+lQLH55wwFkRC+r4NzeO/egbPGvHscFbllPC/+iL4yvPaWEC4FtYGByEnCjGlpzQxLjrSylR01xOFTikX9xai1V8nyZxE4XGktMB7/EKbizLuOh+LpgDzO5f/sYu1oEM8ueabkYHXReXgsLnL5YpwLzs4obQk8jFlTSGXy7nzjCp5YwOsiruDOuAM+z4XJ1hddkZlvf2S3hC01GpeLnKfDyh9gXtgebkskO3rTsk5kZpyO2UAegRDexK0Gc2UoAgxkri2Mxy0GY2IvBmiC6RoxazQTbN5zBLwytplGlH7jBpdtVlNgz9SYIHDDGH2dNnMnvJ1lv2v2Q1Pd5LVvYixzyFEFs8Q3jJBKPfScfG7Pnb2qffLfB6iC9W4GXWo7syC712h6+ll3zPTvZzWSh4f6z5SYJm7uGHUnCnw3wsU3F4fvDd6wZUZBQOmpffxMM9myyME/GuE8kMcrzg1ryFNgpRhqYpRiFsC4RJl2DT022QWZXG6JeVjjz8JOryHnTUamIkijVH265V8Mbd+SZWgE1sfrxNrH5Gm9jRWEJ3bIWNshXm1NRV9la47dgK9x1b4WPHVjgnzl44k/bCQtgLK2cvHK9mzIWzF6479sKNsxfuO/bCzF1sYDe90kO6sBcWyl5YX2QvbJS9cOHshWt8L9w4e+FO2Qsf4b2wJs5eOFP2whLeC+uOvbACe2F5vL2w7VVNy50ywi3B7a8MljFKUB06qZ+nJOuCfBxGadhY7/RwBDQmdubTFKWsdkmk4WXlHKyTNso81tNXoBxcfzZOZzOuhoJDWnL5O66Zuq63x4KSg+s98OPD9HJlgbjvuloc7+G5WsFJ3b6r1SAQu1IQII4TupQNjb8SdyBIw2N1460zdMaanqpikbjrlvbEbz73DY39zbIqcMpufo0aS4tZjPZxGsyssVqLkVlIOSKJNophSKHtlwZbKwYOG9sT2rG8pZ3VJJYFqmNQR+BobBZuOzb4h35+1oHeBBaFbgySGAZnbs6XOaLRi5IYwZKSGSmXIjh3dT4BMWACoo83ASl7JiCZUqKZKB2aSqnQFEqFprkqNJdpZp4s+MIUa7q76RygG86wK6S5yWQktKD5OfauGa+bIo9OxP0N4143W+7unNR/VsrI0oUtJVBLx1PPjEcDfUw9SX7Iws3VChPv5bRgL+eoN1A02oU5mXL4B3S+3soSiSXVoNfNHyGSFuzXrNFBCPSpHsHu0hot7kxrxZ3OPYxQByIjHQWegVy0gnIMVVpwqFls0gEwchu+b8OdE9oXdoc4QAwv/HTM0wAA6gWpMkhAHfHETHYoOwZvwjyfIydvYCVqObK6qVS08dswrVM4klAB6LLnqKQ11CT6P/PSDaHGaQg9J2TZmGzqZnkFC0FtULpZw/BHDwHExTq9DV1IpVOUrnLg+2bPA6Imhn+w5k39lrLUbzm9aRym5dKFq8FoRaQ6lCZzVXTXdl7q2eCTtusX2fHiyPkdH7giN3f/JxweFsOajmCLTXBA2BhlGjGBNtvR28mx/rYaFXlaw62lQVKpv3OzHXCr5DxJjefb5mtm+CnsqhwVmDYYRJeOSiUN2UCUOwVNWoNo0tH9NEZJZu/AeakEyzo1WNYppK7Op+9mrrAWQGG1x1NY6yaPeaZ4zBPFYs5xmGeXw9xdDhYymdtglRat2jJKgaMHw7qjvivjpWAe2TLHbfdgpNKCkcpROjlzcDi5hLqSBoZrZFd58UlBCqoFI5Uj8Q9SURXRk7ZMruNKqoyV1Lni6wIdQjnLm6xqDjgu5FzdkXBGQ2Ky6ig1DiNELu6x70qMANKprEinbvV41TSOkBBU1lqrwDm7KkV7UKMM2l9eRAVU64brjrHSx9G83lX6+Ov82+PNsLRDDswUrIHJBqyB6Z4Ru9masAC2i1jhaMuVH06xxg/lGLoN8yjgB0VjTHxFuOCTvAyXkxThCJBRcbTGxNHkXrMEu4RqVDf1Z2VKC3UHXa+L+EH1HmuEHEzqYZXU8VVAmqn4tU3K+LsqRSG0iM56fYuFEY6p8exS5WSXAMVzEF2q4ehSo0SXGmqFKUE1c5BPawoMVMwzmq/AaL483mi+fdKj+SG3RSkT/peezQtlNq+U2fxowt8hno1y+i6MO3q3ldE7UdDIsis7sZBwsvWWjIlcUOJz9MqRCjhtLxDjBZmlu0iHY7lA0iY1RDJFh/CN4O3Xe3S0uYty+EViHJ6SlC0hsMpBqkqLhsAkRjwEWEor0BbfJJ8/dF+DHAmD+O1aVCnaihpbZSic8X/docy0HVP8zhEqDopQYXBduYPjgwzdy6mRnzKCz+QR/HIuzQxXXOaXXnak0OCXTJ4QYBw+lcShv8wiSd4wxHziimdd052bOErua8VF3JVIlvJTEmUDDKyUDUpJ5etCpVF0oY4+hh0Wb2D6fiveJFpNFCEImr9fSEFYhGkteWKx8fxTZGTe62ZhTlwt+BbcNfFfwLq61m0bdJ1OUZwO+LUhsKTa0hY1sOWoatdki3DUdIvk1owhubXCkNxaDabnJBZ3GulcrYcVNyDb9BQri8WZBgpizwy9rEtUt+ugyjWMKQUUyF4Yml2vuH441+0aoNvVx9Pt+t4KsyC18KYUbGGiYAtvmcItFBe3MEKFbBSGYqdQIQ8oimJ3VkhmORYjY07dAlneQCHOI6CVZRFOiBrcDCroNoQbuYjBfEGZZVrhsSV1Ag9ZXatmUiRE4kK+kKpIxHB9dv5BlQXFi6PAea6uhSotrhNDPaiICCUA4xh94FqcQh0KK70m1/A34QREkA3+Be/PcHUqWJBg7iaHGs0EWjAAUzgBmOKT4BwPznSnZF4uyGs52jBbx5Kbo03r/MKg3U+6B9UzJ9JvqbGkxvSyUQSmUSRhmOKXgoqZv6u4LAz4kYzKmqxqwUxK4WRSBqVKBRrg5yieTwY3VIMhGwmHTNQfgSt9T7SuuJqIf759T+axJkofUM38YhsI1CcAAFA3CDQGD9oRSh+SgJvfP+rh9lwr9Hd0Kh+6hM8FQTlI7vOD5BKukoyFLvcTySWgLaD85vesaxk9UFK0PUy7Asy0LCiMnd87AwNoYQyg+H9EB4WDl8BV7M5B/SmG+nOcF0qQ85dcmL8QLRAZu0bFM6FQ/nKQ8qckyp+5KH9uVuBcUOyAoNg+V0GxLQuKea+gqJweeM9oEFKuhNII73HWbZiCVneRrK8/p21w2fcNI+UDR8kE9cnRdG6hGS3fY11o2TvBcsmT6SLQUWNQv8EUKpcNfdy5BkdbdZXw9zQFlmXh8mnTI/fV4OB4UCSU3gDJwIZnpkd6D8gxRXLAfcIjgRpNBA4o57gAqRTMnt5j+uLoWg5GfbImmI8+3Q+2Wwb2g/3x9oOyaT+ofumcYzpYIXgqHgJbcGvMgyIL++OQO22Uim+Q0Uli1jR/NPnwJ1blD1hXLlTMCGaqcrT40IJtuu4EVFbObhvSui52yBwmYcaZhKs7w7F8njtDX85HILRdY1tF/0ZaciycV9d5z8PtqFIIomLh3jHcx5bvDFjzDCMx/3HLnWFQE8oG0sNKSIyzg3JKoFQoRxBVyhFEjXIE0cI4gmhlHEG04UeQ+eFBgMPD8XiHB107PLCg/TsqP3QHIMx2+NFLfKMetkLHpstAOXtHcg8So9QN0WOJgx7LlLLwLBSWfNYd5wnbUSiSC2kIX/3cex8CKS+glnEIDXyUuLj9I1qMLYlTFpJxhYAxbXYdZZShgYi9RJ02TqubhWNWZRBplGIK6ZwD2xEWZTRFtRDNjLMaDJTL0ROEcU4QSjlBDM8zHElFKZKKUiQVPXacZ9R/nrH0eOcZ2ySG+E8KghtXbwseYBJW2OJFhvh+zijah61qH2l4O/D2zMZnFQj+izmCMzz+9TRm5i27ftlxgF6Aa8u65IFMNnJ5kTrCXHdV7OVYHHqwcKcQf/PBOXakDU46yS/S2Cc4ystZr6icA4BRZhvIwUgpcot/RAJBA26yODJYKdLMHjTBEUnnXUfzU4z1KrFWzV2lmmlrp6Y7GAvjBjIE/3bIs+ED3GB8oS1MytQenoAoMlzTCVBgdWphYQenixswpEWaxgKdFuMImJfaamUL1dLgH7UFuQKjTCSO4rYgWOA2yNYVdHx8vkpm5PwAWMDgg4Hp2XaP8bLtPGA6HwIZMATKjzcEKpuGQE/EMmAI5D3tFqqwrZQetSEcsnAq5iqHeNk4kMnOKbw7KJTJnJBhVgmq1COEZ4ZhLB7beIYM3+W8Is4xI7GFMW9QuNbROhXZbF8gFhvHcJ47Jx+aCRRSSf4EnAvqsjKGWZjEyy5iqShlFC22qSRP4Gygg6UhcDbQs6j/z6W4B+XQVMZWZ/xyLDBLY0MZYKyvmVP5pxj7dIZydMN3bgu1I2qcNLKuGKHmm8RVRQD7WbrmNOOMiEZDRnU8uXE/jD0zTUsbKK4WjRbJeOjjfty7PgHF4YjMWVDhICX9RZ/A8GeIqGj4LjdfbXKvn0rIcMgoPW3+dj+cOpmCs6KbO2NSBA/zzOGVuuYknXMPbRNPsTCcaaVGPamlwSmiMXVyPvc+v46DkTyqiV9JByAmB4yJKnCxHbM5bfDJAwhJoNeuBBv4LAaQHPkwawtHIyukeIVZkNmLlYVK0J5xEYEWNN9Uy3OtAuNQoyRIoPbNYqxSiXIfNch9HARHW4tJjDLmPvoeRRJtRPsVtTe9tA53kNj8UdThY/isL835RCvLpWk3b2uaY54YrUwb9tnVcLNeR0ypZZn3OC6yO4C/9kJhPZ77YuFf6jl4UtAv93wZpcBFD2OQTo/CQIMeFEzp0fhgz3YrgGwtjydb170gJ6PK1v6JPta7ZpwKwRKTrJNLsXZMPu3OoHcWSlAhKFXbSGeGkwhluUBwooxKtOPNgkED80cttlAFcomK9basWo+TQnmhZuR3d0xNWANYiXwsJDp8dnu8K9wp0OZd6ZAVzVsWEg5KyYosBLidH0OhIClcme1J8WOj1OEBme2RVQYKFiDJlCUVO6hbF38vnuyo8FO8bI8ZIrj5uc6+GEEeDd4x+fqcP+f5HbUdPX1IoWH2eywOnNMxV4nxd07yiMQZh5sgijac/akxJVv8F2nRQJHDdYHr3Ocib+UTHq1tqCu0HpOpalDhdmdaiivuY38obgU54zV/QXXbL+crrsNHteybuEM7pVC6/AoFz1kahRVaekzxqjGNO7vV6RQrFZQNpYoS078Hf10VT8cxShPPFf0Si4VWisJtjo++4bL5XIvvlITdSiPiWPde1eNhift8FQmLV6vdhoCkvShptcKgNLW6pyKwAZPMWXdhoGSwHXvqAeFGpnIP6taZolsnSl/h6FoMfFtFxWulVBY+yflzFa8CKp4+norX9hLI7AXCp7aq4glLxVN3KLZwEps1LlI2jkjZKSLlERYpc6LoizgnuUxkvWVlUDkapXEU07IQfhU8/Fq3iIFtixzaOT1SL6LUhSLArnK+iZgKSXCYuIcWN09VtwhoHdfYJIj/AkBvjaP/9TVa5PybPIIBsxrT4EZSo+ZNsWQVioa5orsFlTb3DFtLVL6UsPZmq8xKhYpaUzA6Oo4dH1EZVGJZ0eQFDVreIS2aUCoATGN9yBM9De9KkygibB3KGdXWJKatDeKTgJg2+puxg6JB4plQiWZCB9NzXCeTO0UZ8+g0RuGflsJR7WowKFZjKplf3lqEpoJOknLsSeRGlbTKUNI8GhEOUs2w76EqvEH2KMWw8iafoPLmTw63LYxMRHorbpHwCCqPNpblIoHdlvHJjeJAhwYhcWbanbviZV4Ot2DbcClmJa5V1j3p27ZJAg2n+trBkEB7iiaBe46qnV0YamdXPMA6T+waJ1xbOJJp5UimjSKZdopkejAkUzifWoL5VEAybYBkao8nmfa9kmm/x0TSMlgGZ/L2oDQqg2VwolynVDH1mB46uha0nPx8FRyiuE7kfbL53tpyxvE3/GuYxzuiJmdM1W/L3UlpfDtYEXK7s5qQKtiE5NDSWxCzO/y6YDmnOjQsWM6pEHrX+wdnwVbYC4NMsBb2NqJrQ7nC514bahms7mDrDs0yspLj9d13X5DubYHZfCw8LcpCzmwh2uv6oCD1NE0+p2upbsVjYJ6KKA2ioyUmtWY/vWJBNvJ9g7jx+PoX6BFb3TjtmOBqo2UO3II1D3QliiHLMge0bRL1RklMYgVQEWY7eh2sLPqvMB+BVaC0U1wScVtoQ2CGGC943BKTYZN7UUSUHRmaClJddrGE4H6tmCI7co/BpU4XN1Uo1qlS1/AKoJUByS6OWLqdw2wox4Lpaaysunftnux7hfHUKYjmBdAMVXcAD6qt0RqmH+VKNcJYRnUMFtI9qpoChQIVHQk4bIH1gH1YMZl0VG/RFkuQp6qZ8JkAzTMH0wuzWVwktb8X2weqcMFAAzFs761QuL0jy1TruGVqrIQ6Jpl5IoNSnTx4yNFh5YEjj541NVQzPfgELJbgrzE51f+h1pg/ysZC64LrZvCZdr7rqB8MP9SRGDyDI+NP0IVB4CG4eykIEh74KA7DDTsxkvAzg87kbHhUChvh4HQhH/Ch2nOLBwxdmNM4E/5awQe1OWXYCeS4dIHLmechv6RwV7PjStE3jOv2S6zJ+TQ5map7q6memVVOjeGcyqkjsvSFOn7gz+zi2PLnDAFVLnLIUOby/AZdKeQ0XgJvCPF9RIZv3nwLF2CWd/HRI3zTi48N/ZVXx99i7rDZy7EoTlxxfQ8Cu5fPrQgCk+Uu1oHnVBfroGnji2VgRvzFOmip7cUyFXx1XiyD/uyb4w0s6NGheTyOHfA4ls/V49iXPY76ouUOlYKFMQQLs8h0saEbcrlMvHBgLCuGmflwEDHM2adQ/ZA41Q9IiUFmi7t5iy6fdYe4m3E/MFYM4XfzuJALuS4I5zGuzEitzX2DNp4PDuvjBcoenI/ixHFcni8DdcCdK0hiYfVOFqwoCzh5WTEfe8QuyGm5ShWHTJeAxCkHX+JUaBIg0e4H9+gcr37IUejMABeN1zt48DDIIEAm5Q404rQ2BqZbO6N3Wg/KbNsSHn4eGxodj2CNehnz4EqUIh0YdC44v6ECT7RjjJc0WAU5ByiF6GJBoMvgyylgiHg2UOg3BQYK9fEGCrZpoDDcvHK2+UrZSXPwggU4Z7o4UzXecefZcrboqdtCc4Ur/Fssezny8vk0oKepkARhtLeRty0LXnO0Gr9M4zsyCsEtFwobLNcNvMncgnVNE9YsVAkIyvJHEP4oQQjt4KjhY9COT9dCOa2Ihg/pjrgIjKPN4YFCHl+qa57gNXfF6LSjgRBuVI7NAkbOJuUgnBQ6Gp2fZQU3IAUP/DJYBjoand8QpU5FK/BKO7+Oxmi+UfRopMED/eDLMeRoJJ6jkQFHo/Z4R6Oy6WgkHJ6McngymcKTSRScjI8m4y86qHDRQYtTVfDTj8NtgYfWmsdFCJ2FKuks1KIsGh2tgxvjnPwW2Bl0cYEFOa3FITWLjBo/iWTBLp87h+uCH4wuSCRpgeQyP2HlhRmOuURaWeSbIKUdHpRTCTZ2DF0zgIcuuV0zUteIJ4DEOgXNmyf7JwvunPmiB/7kWOC9JJwWMlfoMocdIhvYIao4O2S+qC3MZoMtH37HEiDCXoynZb3UA/BrLXR8eO7+WGxNAtkkaYMDyVZUnA0dIErpALmg5xiuDSFAGucE2bNoDU+QXX0izR9Nzy7ITacwSAxGOWmwBsR8wJmIa60ITjyZHtaKkvgntnCQzjh4vhROuVKpO0Ampe1BjpS+JkJM18X7QRK5H+Q2gH3UcK9UjTFsRqpkVcBxdn57FtQOZUynoZJN4NKPBJV+LNVRWQxdc+4SMErjhwThNU9wk+kX3mA0oOOGff0eOiS5KIedskBxIsJqshNW41CpZ6AapKFofncUz2g7NnA8EsVv2TNFm4RRNXYnwWkWBpzdGOpjL6HGmMHlVT6RobcYkKHG6DTmXhMPVuMTsCOFKQHHwvS4OrYHRxg+cOgeRsBhW5gGR4liA45KaZbBXyCu2+sw0iDGrLEBoiHBr4x+D3JofvnpX6wDtZ+di20JFtMvrgV9J1wsA7VcXNwS+vy/uBT0kd/XmTF5fEPoz/f8SjIqXPR1Roz+dkNzp04BnDr98Zw6dZNTZ2R8wHPgldP8VIPNT3mwTOEUAsHNTzXW/HTzUQ48ZUsTxIHHFWTruYOxsJ5zrEdjYMjAIzm23gSVxne5o38jw14CCyYTxH9tjVMZseCq0airRgfXIwuE9JUME44suIilycL1Ks9Vky9k7Rr02IwydEIo2fCwASou6879VS2ojlcSxUBDzVFrESeL+W78uBeoIkqAPwqoFUonnzSjImpoollo7kBKodZ04qgxZ6Bha+PIt9oXHqoemQuz4IhfEnXlLMaJNss7NGuTTXgYCwukBrV35iBTQd1yoFW+bmkNfyC6voUO67YxQ83QJZJwrXK1wenp8CVRM416ITS4mcazqOE66nzREqx9EIqnxvG3hllqAIW0dLikItb7lK9XqYkR/60ZJhjF7DHunxtQ8KTuNY2hcNfCV7hhq4zcY+aYQZC+QnOq0+lEPSj1EYj5ZQAEanFwlM/ckkefSdOQhn4dFDR8++laF4mH2bLXZYi3ao2BcmrwOKoGnS23AT2+wz/qGjWzDOTWDqsHZeJmWS006LByUO+xHqVf/hjOl4F8Wuc3hE6Fzi8ETV+dr3JESw8OdKRTPXJiBeTE4/HkxLZXTnQks+EAwa1TIet2umhdhazrMM5cOMyDCoXZW1BxHKEKOocFccSD4omCXgAy/iMOhKv2RsY3hLY+XVyJobOmHsSdAbHxXBcMCnPWQ1uoWBiLjKNjykXQeUJE9yjjlSY1VpCH7h+6lgVBSBY6IsIUNAQOIUapixCE/3zxbddNjA+BGYHlHtUQFbk+3Lt8/VtkxPeBNHvmmBNUFlxBc9FMoylxCyb41X+tJWZTuP7eazQYHiSr38S/Klzc6fpojwUb1DwqnYJh9BqTGJN/UcGtV7EQf/J/ioan7ykh/hm7HTIvTEXARgmy4+n8KNP9Vqhq4rkLo+QFU8I8Cy5RlEkdS4zzjXLyeL4KCQhToATBp5vKf+YUA2L5EdJ2QeZ5t5mA6N67eu6wZvyB5FJfqwBhhot71pBjYnBtRjE71BIMZktMW7wN6Mu14X1cc91zwZSVYXpRPXCu9zxEn/BHhMv21fImP1mTDS1KDeUkpUlkP+BmaKi3Pk1kSyRfD3KQWmMg0VuP2crqWOecAQRdgKae+LVpPTOcDoD4OTC6dcURHUH9s7ii+quFcr1S2Pa94Wz7+Y+pr7koUGzCQUFFHAk2jM3rZzJsH5uvKfBe0OWshwL6ky/Lk9b3ovHnlOvCd5/B4X3PdaKndM+aneFFOzhuGSjIP/AiLQT5HQfh57F+NxtjBVOdFLfpOK7eKMWMThLA0F7ynAQA8XCmlUWp4dtp38LoUb5EiQFuBM5zfoD3gY6zZTIUA/ZzUjKkz18ElHUJrjO/NIMnCL51CwV7kivMKTpdpiGbyIs6Bph3fG608KnyQ05QFhgueVENAcepLtYRYHx3cUvoufviStCD98UyBZjNXdwQmpC6uBJUOb9YBt0EuegpzW93LOnx7I59b89R4fQclTE9xWMdsvuqgTENl1joqQhBU4atGY3i0ukUIwwkl6xjUybklYzbWWKIlKF/TjlwjWyL4Ib5qadwcBoZM+Ser7GAeIiRUZIPjLIkTw6MXVFyQ41aFxFygwilpEE4Bd5iFMKDlA2lw1Ipdg5pIbfJ4JvswWbhcMnQVQM41aZ4UWMgFJ9imtgUHTuTxOl0dd2fkbgeJUr8D8JLRsR/uPw1UYuEsntNv+b3e4vQxGoIdQqgbTI5pn8GC4RG+AulNNAbx1hihdJGYJVS1W6wlUSC3sKRscWOIC2jBo2G4sKWrEE3gjbD5F5T15gboBBScDK3j+xRYqJqjTkTxcuJKC3qTank6iD5+/oMT3MQj5uRYB/IfM1MYXHgUDmXu1JxU0XMr3hzi+YVsp6cg0PqHphFbchwze5Rq2LyX9mxCQuSgJHXOjZFnNQU31NVJ+CU+eTNgu7Cwd9MK7iDYGwvdO4MShCNkgarwOmlEkSjCIWMMrgW2BpYgtbAp+96rv90QP/JZ+vdvn337r+eLfphue9ef1zvx3/6t3/93//8z//nX/79w3/7zYeH9F9e//GXldLF/9T9/wJI5DGI
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
I did this mostly for myself, But figured what the heck, im sure there is at least 1 other person thinking "man i wish they were individual books" right now. so why not share.

Re: Yet another belt balancer compendium

Posted: Mon May 15, 2017 3:42 am
by Mehve
steinio wrote:Hi,

nice work but i guess you inserted the 1-1 and 1-2 only as a joke.

This would be real examples of 1-1 and 1-2 if you like:
balancer.png
Those aren't true lane balancers, you realize? They stop functioning properly at full compression, and won't compensate for uneven consumption downstream (as the example on the left demonstrates).
Image

I general find it easier to keep the lane balancing separate from the belt balancing. Things get messy otherwise :)

Re: Yet another belt balancer compendium

Posted: Mon May 15, 2017 4:54 pm
by Distelzombie
Mehve wrote:Those aren't true lane balancers, you realize? They stop functioning properly at full compression, and won't compensate for uneven consumption downstream (as the example on the left demonstrates).
Image

I general find it easier to keep the lane balancing separate from the belt balancing. Things get messy otherwise :)
But the one on the right isnt unevenly eaten from. The inserter eats from both sides.

Re: Yet another belt balancer compendium

Posted: Mon May 15, 2017 5:28 pm
by Distelzombie
Aaah! I just sat there 5 mins to wait for the selection to finish. Please use
next time. ("Select all" does not work for me. Maybe its Chrome)

Re: Yet another belt balancer compendium

Posted: Mon May 15, 2017 6:15 pm
by Kenira
Distelzombie wrote:But the one on the right isnt unevenly eaten from. The inserter eats from both sides.
The one on the right does still work properly even when only one sides is in use though.

Re: Yet another belt balancer compendium

Posted: Mon May 15, 2017 6:35 pm
by Distelzombie
Kenira wrote:
Distelzombie wrote:But the one on the right isnt unevenly eaten from. The inserter eats from both sides.
The one on the right does still work properly even when only one sides is in use though.
I believe you. But you should have made a correct comparison. :)

Re: Yet another belt balancer compendium

Posted: Mon May 15, 2017 6:40 pm
by Kenira
I didn't post it, but i agree, the comparison setup wasn't perfect :P

Re: Yet another belt balancer compendium

Posted: Mon May 15, 2017 9:36 pm
by Mehve
Distelzombie wrote:
Mehve wrote:Those aren't true lane balancers, you realize? They stop functioning properly at full compression, and won't compensate for uneven consumption downstream (as the example on the left demonstrates).

I general find it easier to keep the lane balancing separate from the belt balancing. Things get messy otherwise :)
But the one on the right isnt unevenly eaten from. The inserter eats from both sides.
That's my point. The version on the left is what Steinio put forth as a lane balancer. Except that it's not reliable as such, as demonstrated by the image. The picture on the right is in contrast, an example of a proper balancer.

Re: Yet another belt balancer compendium

Posted: Mon May 15, 2017 9:40 pm
by steinio
Yeah I'm totally fine with both of them.
I just wondered about the single stripe of belt as a 1:1 balancer in the original blueprint book.

Greetings, steinio.

Re: Yet another belt balancer compendium

Posted: Mon May 22, 2017 10:23 pm
by Selvek
Can someone elaborate on the exact design goals of these balancers? And what exactly the balancer test code tests for?

In my mind, the only thing that's relevant is "no input backs up unless all outputs are backed up". That is, every output belt should be backed up or saturated, unless there is truly not enough input available.

This is not always the case (I have mostly used the 8:8 balancer). Depending on which set of inputs has the highest supply, and which set of outputs has the highest demand, it is very possible to have an output that is far from saturated while one or more inputs are backed up.