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Simplex Algorithm
11-14-2023, 02:25 AM
Post: #15
RE: Simplex Algorithm
(11-13-2023 05:34 PM)ftneek Wrote:  Proper standard form arguments for Example 3.7.2:
> simplex2([[1,2,0,1,1,0,0,20],[2,1,1,0,0,1,0,10],[-1,4,-2,3,0,0,1,40],[1,4,3,2,0,0,0,0],[0,0,0,0,1,1,1,0]],{5,6,7},7,3,0)

[35,[5,0,0,15,0,0,0],[[1,1/2,1/2,0,3/4,0,-1/4,5],[0,0,0,0,-3/2,1,1/2,0],[0,3/2,-1/2,1,1/4,0,1/4,15],[0,1/2,7/2,0,-5/4,0,-1/4,-35]]]

You can do this with simplex_le too, but not much typing is saved.
Constraints already are "=", artificial variables need to start with -1, thus result negated.

> simplex_le([[1,2,0,1,-1,0,0,20],[2,1,1,0,0,-1,0,10],[-1,4,-2,3,0,0,-1,40],[1,4,3,2,0,0,0,0]],-3)

[35,[5,0,0,15,0,0,0],[[0,3/2,-1/2,1,-1/4,0,-1/4,15],[0,0,0,0,-3/2,1,1/2,0],[1,1/2,1/2,0,-3/4,0,1/4,5],[0,1/2,7/2,0,5/4,0,1/4,-35]]]

Inside numbers not quite match, because simplex_le use pivots order {5,6,1}. But that shouldn't matter.
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Messages In This Thread
Simplex Algorithm - ftneek - 11-11-2023, 11:21 PM
RE: Simplex Algorithm - Albert Chan - 11-11-2023, 11:51 PM
RE: Simplex Algorithm - Albert Chan - 11-12-2023, 12:38 AM
RE: Simplex Algorithm - Albert Chan - 11-12-2023, 05:11 PM
RE: Simplex Algorithm - ftneek - 11-12-2023, 05:40 PM
RE: Simplex Algorithm - Albert Chan - 11-13-2023, 02:48 PM
RE: Simplex Algorithm - ftneek - 11-12-2023, 12:00 AM
RE: Simplex Algorithm - ftneek - 11-12-2023, 01:44 AM
RE: Simplex Algorithm - Albert Chan - 11-12-2023, 11:04 PM
RE: Simplex Algorithm - ftneek - 11-13-2023, 01:51 AM
RE: Simplex Algorithm - Albert Chan - 11-12-2023, 08:46 PM
RE: Simplex Algorithm - ftneek - 11-12-2023, 10:09 PM
RE: Simplex Algorithm - ftneek - 11-13-2023, 05:34 PM
RE: Simplex Algorithm - Albert Chan - 11-13-2023, 10:46 PM
RE: Simplex Algorithm - Albert Chan - 11-14-2023 02:25 AM
RE: Simplex Algorithm - ftneek - 11-14-2023, 06:24 AM
RE: Simplex Algorithm - Albert Chan - 11-14-2023, 09:23 AM
RE: Simplex Algorithm - ftneek - 11-14-2023, 10:39 AM
RE: Simplex Algorithm - Albert Chan - 11-15-2023, 04:36 PM
RE: Simplex Algorithm - ftneek - 11-15-2023, 05:58 PM
RE: Simplex Algorithm - Albert Chan - 11-16-2023, 11:42 AM
RE: Simplex Algorithm - Albert Chan - 11-16-2023, 07:15 PM
RE: Simplex Algorithm - ftneek - 11-17-2023, 07:47 AM
RE: Simplex Algorithm - Albert Chan - 11-17-2023, 11:04 AM
RE: Simplex Algorithm - ftneek - 11-18-2023, 01:27 AM
RE: Simplex Algorithm - ftneek - 11-18-2023, 10:31 PM
RE: Simplex Algorithm - Albert Chan - 11-19-2023, 12:57 AM
RE: Simplex Algorithm - ftneek - 11-19-2023, 07:05 AM
RE: Simplex Algorithm - Albert Chan - 11-19-2023, 04:58 PM
RE: Simplex Algorithm - Albert Chan - 11-20-2023, 06:12 PM
RE: Simplex Algorithm - ftneek - 11-21-2023, 08:36 AM
RE: Simplex Algorithm - Albert Chan - 11-21-2023, 02:05 PM
RE: Simplex Algorithm - ftneek - 11-19-2023, 08:02 PM
RE: Simplex Algorithm - ftneek - 11-20-2023, 12:18 AM
RE: Simplex Algorithm - Albert Chan - 11-20-2023, 02:14 AM
RE: Simplex Algorithm - ftneek - 11-20-2023, 09:02 AM
RE: Simplex Algorithm - Albert Chan - 11-20-2023, 11:42 AM
RE: Simplex Algorithm - Albert Chan - 11-20-2023, 03:34 PM
RE: Simplex Algorithm - ftneek - 11-20-2023, 07:52 PM
RE: Simplex Algorithm - Albert Chan - 11-21-2023, 05:58 PM
RE: Simplex Algorithm - Albert Chan - 11-21-2023, 11:20 PM
RE: Simplex Algorithm - Albert Chan - 11-22-2023, 06:44 PM
RE: Simplex Algorithm - Albert Chan - 11-22-2023, 10:10 PM
RE: Simplex Algorithm - Albert Chan - 12-24-2023, 03:46 PM
RE: Simplex Algorithm - ftneek - 12-24-2023, 07:32 PM
RE: Simplex Algorithm - Albert Chan - 12-24-2023, 08:05 PM
RE: Simplex Algorithm - ftneek - 11-23-2023, 01:23 AM
RE: Simplex Algorithm - Albert Chan - 11-23-2023, 06:35 AM
RE: Simplex Algorithm - ftneek - 12-22-2023, 07:38 AM
RE: Simplex Algorithm - Albert Chan - 12-22-2023, 04:07 PM
RE: Simplex Algorithm - ftneek - 12-22-2023, 07:28 PM
RE: Simplex Algorithm - Albert Chan - 12-23-2023, 04:44 AM
RE: Simplex Algorithm - ftneek - 12-23-2023, 07:46 AM
RE: Simplex Algorithm - Albert Chan - 12-23-2023, 10:23 AM
RE: Simplex Algorithm - ftneek - 12-23-2023, 09:30 PM
RE: Simplex Algorithm - ftneek - 01-07-2024, 02:40 AM



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