"Each job must be processed on one machine only" can be formulated as: none of the mentioned Ob. O b. Wik <1, Vk O c. E1 wik = 1, Vk %3D Od. O d. E1Wik = 1, Vi %3D Oe. O e. E1Wik <1, Vi Lk-1

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Each job must be processed on one machine only" can be formulated as:
O a
none of the mentioned
O b. 1 wik < 1, Vk
O c. E1 wik = 1, Vk
O d. E1 Wik = 1, Vi
m
O e. L1 wik < 1, Vi
Transcribed Image Text:Each job must be processed on one machine only" can be formulated as: O a none of the mentioned O b. 1 wik < 1, Vk O c. E1 wik = 1, Vk O d. E1 Wik = 1, Vi m O e. L1 wik < 1, Vi
Machine 1
Machine m
Mm
Notation: MIP models for scheduling single stage "m" parallel machines
Indices
k-machine no.,k € (1.m)
1-job,i € (1.n)
1-job,j e (1. n}
Input parameters
m= total number of machines
n= number of jobs
Pprocessing time of job"
d,- due date of job "
M-large number
Decision variables
TO_startup time of job "
Yu hinary variable, 1:1f job"C precedes job"f in the processing sequence,0: otherwise
Wa- himary variable, 1:if job "Tis processed on machine "k",0 otherwise
k machine no.,k € {1 - m}
1- Job,Ie (1. . m)
1-Job./E (1.n)
M-total number of machines
nnumber of Jobs
A-processing time of fob "f
d- due date of fob "
M- large mumber
Decision varlables
xstartup time of job
Yu= binary variable, 1:4f job precedes job " in the processing sequence,0: otherwise
W-binary variable, 1:1f fob "C is processed on machine "k", 0: otherwtse
Transcribed Image Text:Machine 1 Machine m Mm Notation: MIP models for scheduling single stage "m" parallel machines Indices k-machine no.,k € (1.m) 1-job,i € (1.n) 1-job,j e (1. n} Input parameters m= total number of machines n= number of jobs Pprocessing time of job" d,- due date of job " M-large number Decision variables TO_startup time of job " Yu hinary variable, 1:1f job"C precedes job"f in the processing sequence,0: otherwise Wa- himary variable, 1:if job "Tis processed on machine "k",0 otherwise k machine no.,k € {1 - m} 1- Job,Ie (1. . m) 1-Job./E (1.n) M-total number of machines nnumber of Jobs A-processing time of fob "f d- due date of fob " M- large mumber Decision varlables xstartup time of job Yu= binary variable, 1:4f job precedes job " in the processing sequence,0: otherwise W-binary variable, 1:1f fob "C is processed on machine "k", 0: otherwtse
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