Simultaneous minimization of total completion time and total deviation of job completion times

This paper addresses a single-machine scheduling problem with the objective of minimizing a linear combination of total job completion times and total deviation of job completion times from a common due-date. The due-date is assumed to be non-restrictive, i.e., sufficiently large to have no impact o...

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Bibliographic Details
Published in:European journal of operational research Vol. 157; no. 2; pp. 296 - 306
Main Author: Mosheiov, Gur
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.09.2004
Elsevier
Elsevier Sequoia S.A
Series:European Journal of Operational Research
Subjects:
Algorithms
Deterministic
Dynamic programming
Job shops
Multiple criteria
Optimization
Pseudo-polynomial algorithm
Scheduling
Single machine
Studies
Pseudo-polynomial algorithm
Scheduling
Multiple criteria
Deterministic
Dynamic programming
Single machine
ISSN:0377-2217, 1872-6860
Online Access:Get full text
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Summary:This paper addresses a single-machine scheduling problem with the objective of minimizing a linear combination of total job completion times and total deviation of job completion times from a common due-date. The due-date is assumed to be non-restrictive, i.e., sufficiently large to have no impact on the optimal sequence. When the weights are job-independent, the problem is shown to have a polynomial time solution, and the optimal schedule is fully characterized as a function of the different parameters. When job-dependent weights are assumed, the problem is known to be NP-hard. We introduce a pseudo-polynomial dynamic programming algorithm, indicating that this case is NP-hard in the ordinary sense. The algorithm is shown experimentally to perform extremely well when tested on high-multiplicity instances with up to 1000 jobs.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0377-2217
1872-6860
DOI:10.1016/S0377-2217(03)00193-0