Makespan minimization of multi-slot just-in-time scheduling on single and parallel machines

The paper addresses the problem of multi-slot just-in-time scheduling. Unlike the existing literature on this subject, it studies a more general criterion—the minimization of the schedule makespan rather than the minimization of the number of slots used by schedule. It gives an O ( n log  2 n )-time...

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Bibliographic Details
Published in:Journal of scheduling Vol. 13; no. 5; pp. 479 - 492
Main Authors: Dereniowski, Dariusz, Kubiak, Wiesław
Format: Journal Article
Language:English
Published: Boston Springer US 01.10.2010
Springer Science + Business Media
Springer Nature B.V
Subjects:
Approximation
Artificial Intelligence
Business and Management
Calculus of Variations and Optimal Control; Optimization
Just in time
Operations Research/Decision Theory
Optimization
Optimization algorithms
Polynomials
Production controls
Schedules
Scheduling
Supply Chain Management
Supply chains
Just-in-time scheduling
Multi-slot
Makespan minimization
ISSN:1094-6136, 1099-1425
Online Access:Get full text
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Summary:The paper addresses the problem of multi-slot just-in-time scheduling. Unlike the existing literature on this subject, it studies a more general criterion—the minimization of the schedule makespan rather than the minimization of the number of slots used by schedule. It gives an O ( n log  2 n )-time optimization algorithm for the single machine problem. For arbitrary number of m >1 identical parallel machines it presents an O ( n log  n )-time optimization algorithm for the case when the processing time of each job does not exceed its due date. For the general case on m >1 machines, it proposes a polynomial time constant factor approximation algorithm.
Bibliography:SourceType-Scholarly Journals-1
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content type line 14
ISSN:1094-6136
1099-1425
DOI:10.1007/s10951-009-0139-3