The m parallel machines single stage configuration is shown in figure below. The configuration is made...
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The "m" parallel machines single stage configuration is shown in figure below. The configuration is made up of "m" identical machines; each one can process any job. J₁ J₂ Jo Machine 1 M. kmachine no.. ke (1,...m} i = job, i e (1, ...n} j = job, j = {1,...n} ⠀ Machine m M... Figure 1, Single stage "m" parallel machines Notation: MIP models for scheduling single stage "m" parallel machines Indices Input parameters m = total number of machines n = number of jobs P = processing time of job "i" d, due date of job "i" = M = large number Data 2 3 [7,10,12] [10,15, 20] Decision variables x₁ = startup time of job "i" Yij = binary variable, 1: if job "i" precedes job "j" in the processing sequence, 0: otherwise Wik = binary variable, 1: if job "i" is processed on machine "k", 0: otherwise Required: Formulate linear programming model for the scheduling problem that minimize total tardiness, and solve it using python The "m" parallel machines single stage configuration is shown in figure below. The configuration is made up of "m" identical machines; each one can process any job. J₁ J₂ Jo Machine 1 M. kmachine no.. ke (1,...m} i = job, i e (1, ...n} j = job, j = {1,...n} ⠀ Machine m M... Figure 1, Single stage "m" parallel machines Notation: MIP models for scheduling single stage "m" parallel machines Indices Input parameters m = total number of machines n = number of jobs P = processing time of job "i" d, due date of job "i" = M = large number Data 2 3 [7,10,12] [10,15, 20] Decision variables x₁ = startup time of job "i" Yij = binary variable, 1: if job "i" precedes job "j" in the processing sequence, 0: otherwise Wik = binary variable, 1: if job "i" is processed on machine "k", 0: otherwise Required: Formulate linear programming model for the scheduling problem that minimize total tardiness, and solve it using python
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Principles of environmental science inquiry and applications
ISBN: 978-1259656415
7th edition
Authors: William P. Cunningham, Mary Ann Cunningham
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