A note: flowshop scheduling with linear deterioration and job-rejection

We study a scheduling problem on an m -machine flowshop with linear deterioration of job processing times and job rejection. The objectives are minimum makespan and minimum total load, subject to an upper bound on the total permitted rejection cost. The problems are NP-hard (since the single machine...

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Bibliographic Details
Published in:4OR Vol. 19; no. 1; pp. 103 - 111
Main Authors: Mor, Baruch, Mosheiov, Gur
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2021
Springer Nature B.V
Subjects:
Algorithms
Business and Management
Dynamic programming
Flow control
Industrial and Production Engineering
Operations research
Operations Research/Decision Theory
Optimization
Polynomials
Rejection
Research Paper
Scheduling
Upper bounds
90B35 Deterministic scheduling theory in operations research
Scheduling
Job-rejection
Flowshop
Dynamic programming
Linear deterioration
ISSN:1619-4500, 1614-2411
Online Access:Get full text
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Summary:We study a scheduling problem on an m -machine flowshop with linear deterioration of job processing times and job rejection. The objectives are minimum makespan and minimum total load, subject to an upper bound on the total permitted rejection cost. The problems are NP-hard (since the single machine makespan minimization version was shown to be hard), and we introduce pseudo-polynomial dynamic programming algorithms, thus proving that both problems are NP-hard in the ordinary sense.
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ISSN:1619-4500
1614-2411
DOI:10.1007/s10288-020-00436-z