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in a job shop operation, four jobs may be performed on any of four machines. The hours required for each job on each machine are presented in a following table. The plant supervior would like to assign jobs so that total time is minimized. Find the best solution. Formulate the appropriate linear program and solve uisng Excel Solver. Show your work. (20 points) Solution Assignment problem Decision matrix Job A12 82 39 Dob A12 A15 82 89 Job Constraint x1, x2, x3 all are binary numbers O represents not assigned and 1 represents assigned Each machine can be assigned only 1 job Cost Matrix SEER A15 82 89 Objective function Minimize cost profit Answer So assignment is Job A12 A15 82 x5 Machine 12 Machine 14 x10 x11 x12 Machine 0 0 1 Machine 1 13 12 16 x13 x14 x15 x16 0 0 1 0 1 15 18 LHS RHS

in a job shop operation, four jobs may be performed on any of four machines. The hours required for each job on each machine are presented in a following table. The plant supervior would like to assign jobs so that total time is minimized. Find the best solution. Formulate the appropriate linear program and solve uisng Excel Solver. Show your work. (20 points) Solution Assignment problem Decision matrix Job A12 82 39 Dob A12 A15 82 89 Job Constraint x1, x2, x3 all are binary numbers O represents not assigned and 1 represents assigned Each machine can be assigned only 1 job Cost Matrix SEER A15 82 89 Objective function Minimize cost profit Answer So assignment is Job A12 A15 82 x5 Machine 12 Machine 14 x10 x11 x12 Machine 0 0 1 Machine 1 13 12 16 x13 x14 x15 x16 0 0 1 0 1 15 18 LHS RHS

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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in a job shop operation, four jobs may be performed on any of four machines. The hours required for each job on each machine are presented in a following table. The plant supervior would like to assign jobs so that total time is minimized. Find the best solution. Formulate the appropriate linear program and solve uisng Excel Solver Show your work. (20 points) Solution Assignment problem Decision matrix Job A12 A15 B2 89 Jab A12 A15 B2 B9 Job A12 A15 B2 B9 bel xx2 x3 v4 Answer So assignment is Job A12 A15 B2 89 Constraint x1, x2, x3... all are binary numbers 0 represents not assigned and 1 represents assigned Each machine can be assigned only 1 job Cost Matrix Objective function Minimize cost profit A 1 0 0 0 D 1 Machine B B x5 x6 x7 x8 B 10 12 Machine |C 9 14 Machine C 0 0 1 x9 Machine B 0 1 x10 x11 x12 1 14 13 12 16 50 C 0 0 1 0 D x13 1 ■ 1 x14 x15 x16 ID 16 15 12 18 D D 0 1 0 0 1 . 13 12 11 16 LHS 1= 1 1= 1 RHS 1
Transcribed Image Text:in a job shop operation, four jobs may be performed on any of four machines. The hours required for each job on each machine are presented in a following table. The plant supervior would like to assign jobs so that total time is minimized. Find the best solution. Formulate the appropriate linear program and solve uisng Excel Solver Show your work. (20 points) Solution Assignment problem Decision matrix Job A12 A15 B2 89 Jab A12 A15 B2 B9 Job A12 A15 B2 B9 bel xx2 x3 v4 Answer So assignment is Job A12 A15 B2 89 Constraint x1, x2, x3... all are binary numbers 0 represents not assigned and 1 represents assigned Each machine can be assigned only 1 job Cost Matrix Objective function Minimize cost profit A 1 0 0 0 D 1 Machine B B x5 x6 x7 x8 B 10 12 Machine |C 9 14 Machine C 0 0 1 x9 Machine B 0 1 x10 x11 x12 1 14 13 12 16 50 C 0 0 1 0 D x13 1 ■ 1 x14 x15 x16 ID 16 15 12 18 D D 0 1 0 0 1 . 13 12 11 16 LHS 1= 1 1= 1 RHS 1
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