GATool to solve Assignment Problem

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Rameza
Rameza on 13 Mar 2012
Commented: Walter Roberson on 23 May 2023
Hi,
I am a student very new to Matlab. I am trying to use the GATool (OptimTool) to solve the assignment problem (assignment 1 person to 1 machine). I would like to know how to write the fitness function and how to enter the constraints in the tool.
Min Z= 14X11 +5X21 +8X31 +7X41 +2X12 +12X22 +6X23 +5X24 +7X31 +8X32 +3X33 +9X34 +2X341 +4X42 +6X43 +10X44.
Subject to: X11+X21+X31+X41=1 X12+X22+X32+X42=1 X13+X23+X33+X43=1 X14+X24+X34+X44=1 X11+X12+X13+X14=1 X21+X22+X23+X24=1 X31+X32+X33+X34=1 X41+X42+X43+X44=1 All variables=0 or 1.
Thank you.
  2 Comments
buvaneshwari tk
buvaneshwari tk on 23 Jun 2022
I too need the answer for this question.@Rameza if you know means pls share the code.
Sam Chak
Sam Chak on 23 Jun 2022
Rameza has been inactive since 10 years ago.
@buvaneshwari tk, Is the Genetic Algorithm (GA) the optimization method allowed to use? Are there any benefits of using GA to solve your linear programming problem?
Can continue the discussion here in a meaningful way. If the LP problem is too large, then illustrate a simple toy problem for your case. Don't straightaway jump into the larger problem without understanding how to solve it in the first place.
More importantly, can you clarify if your are integer variables, or continuous variable, or a mixed of both? This determine which algorithm is more suitable for solving your linear programming problem.

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Answers (2)

owr
owr on 13 Mar 2012

Hari
Hari on 23 May 2023
Find the assignment of machines to the jobs, that will maximize the profit A B C D E 1 62 78 50 101 82 2 71 84 61 73 59 3 87 92 111 71 81 4 48 64 87 77 80 Write a Matlab Code (using matchpair function / other
  1 Comment
Walter Roberson
Walter Roberson on 23 May 2023
Could you expand on how this will solve the question posted by @Rameza ??

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