Consider the following problem: 2x max z = 120 - 8x? - 2y? + 5xy +T+y s.t. 6x + 8y s 77 (1) 5x – 2y 2 10 (2) 5 SxS 12 (3) 3sys9 (4) x and y are integer variables 1- Ienore constraints (1) and (2). Let [7, 4]" be the current solution. Write all the possible feasible immediate neighbors of the current solution. 2- lunore constraints (1) and (2). Execute one iteration of greedy heuristic with expanded neighborhood of size 2. Start the search from [5, 11]". Report the best solution of the performed iteration. 3- Consider the entire model. Create a penalty objective function of the above model. Assume the penalty coefficients are equal to 1000. Evaluate the penalized objective function value of the candidate solution [3, 31". 4- Consider constraints (1), (3), and (4) only and update the bounds on x and y in order (start with x then y).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the following problem:
2x
max z = 120 - 8x? - 2y? + 5xy +
1+y
s.t.
6x + 8y < 77
(1)
5x – 2y 2 10 (2)
5<x< 12
(3)
3sys9 (4)
x and y are integer variables
1- Ignore constraints (1) and (2). Let [7, 4]7 be the current solution. Write all the possible feasible immediate
neighbors of the current solution.
2- Ienore constraints (1) and (2). Execute one iteration of greedy heuristic with expanded neighborhood of size
2. Start the search from [5, 11]". Report the best solution of the performed iteration.
3- Consider the entire model. Create a penalty objective function of the above model. Assume the penalty
coefficients are equal to 1000. Evaluate the penalized objective function value of the candidate solution
[3, 3]".
4 Consider constraints (1), (3), and (4) only and update the bounds on x and y in order (start with x then y).
Transcribed Image Text:Consider the following problem: 2x max z = 120 - 8x? - 2y? + 5xy + 1+y s.t. 6x + 8y < 77 (1) 5x – 2y 2 10 (2) 5<x< 12 (3) 3sys9 (4) x and y are integer variables 1- Ignore constraints (1) and (2). Let [7, 4]7 be the current solution. Write all the possible feasible immediate neighbors of the current solution. 2- Ienore constraints (1) and (2). Execute one iteration of greedy heuristic with expanded neighborhood of size 2. Start the search from [5, 11]". Report the best solution of the performed iteration. 3- Consider the entire model. Create a penalty objective function of the above model. Assume the penalty coefficients are equal to 1000. Evaluate the penalized objective function value of the candidate solution [3, 3]". 4 Consider constraints (1), (3), and (4) only and update the bounds on x and y in order (start with x then y).
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