"If the release time for the job " i" is r;, then this condition can be incorporated into the model as: O a. t; + Pi ri, Vi Ос. none of the mentioned O d. ; + Pi = ri, Vi O e. r; ri, Vi

Elements Of Electromagnetics
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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
Decision variables
X = startup time of job "i"
Yıy = binary variable, 1:if job "i" precedes job "j" in the processing sequence, 0: otherwise
Wk = binary variable, 1:if job "i" is processed on machine "k", 0: otherwise
"If the release time for the job " i" is r;, then this condition can be incorporated into the model
as:
O a. x; + P; <ri, Vi
O b. x; + Pi >ri, Vi
none of the mentioned
O d. ; +Pi = ri, Vi
?A
O e. T; 2rir
Transcribed Image Text:Decision variables X = startup time of job "i" Yıy = binary variable, 1:if job "i" precedes job "j" in the processing sequence, 0: otherwise Wk = binary variable, 1:if job "i" is processed on machine "k", 0: otherwise "If the release time for the job " i" is r;, then this condition can be incorporated into the model as: O a. x; + P; <ri, Vi O b. x; + Pi >ri, Vi none of the mentioned O d. ; +Pi = ri, Vi ?A O e. T; 2rir
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