Consider the following optimization problem: Minimize Z-6x1-5x2 Subject to 3x₁ + x₂ ≤ 11 -X1+2x₂55 X1, X220, integer Solve the above integer model using the branch and bound method: • Show the formulation of each subproblem • Give the solution of the linear relaxation of each sub-problem (you can use excel solver or the graphical method to solve the linear relaxations) When branching occurs, briefly explain why • When a subproblem is fathomed, briefly explain why When the best integer solution is updated, briefly explain why State the optimum solution

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter8: Evolutionary Solver: An Alternative Optimization Procedure
Section8.3: Introduction To Evolutionary Solver
Problem 2P
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Consider the following optimization problem:
Minimize Z=-6x1-5x2
3x1 + x₂ 11
-X1 + 2x₂ ≤5
X1, X₂20, integer
Solve the above integer model using the branch and bound method:
Show the formulation of each subproblem
Give the solution of the linear relaxation of each sub-problem (you can use excel solver or the
graphical method to solve the linear relaxations)
When branching occurs, briefly explain why
When a subproblem is fathomed, briefly explain why
•
•
•
.
.
Subject to
When the best integer solution is updated, briefly explain why
State the optimum solution
Transcribed Image Text:Consider the following optimization problem: Minimize Z=-6x1-5x2 3x1 + x₂ 11 -X1 + 2x₂ ≤5 X1, X₂20, integer Solve the above integer model using the branch and bound method: Show the formulation of each subproblem Give the solution of the linear relaxation of each sub-problem (you can use excel solver or the graphical method to solve the linear relaxations) When branching occurs, briefly explain why When a subproblem is fathomed, briefly explain why • • • . . Subject to When the best integer solution is updated, briefly explain why State the optimum solution
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