Scheduling resumable simple linear deteriorating jobs on a single machine with an availability constraint to minimize makespan

We consider a single-machine scheduling problem in which the processing time of each job is a simple linear deteriorating function of its waiting time. The machine is subject to an availability constraint. Jobs interrupted by machine unavailability can resume their processing. The objective is to mi...

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Bibliographic Details
Published in:Computers & industrial engineering Vol. 59; no. 4; pp. 794 - 798
Main Authors: Ji, Min, Cheng, T.C.E.
Format: Journal Article
Language:English
Published: New York Elsevier Ltd 01.11.2010
Pergamon Press Inc
Subjects:
0–1 integer programming
Approximation
Availability
Availability constraint
Computational complexity
Deterioration
FPTAS
Industrial engineering
Integer programming
Job shops
Mathematical analysis
Optimization
Polynomials
Production scheduling
Scheduling
Studies
Time management
Availability constraint
Scheduling
FPTAS
Computational complexity
0–1 integer programming
ISSN:0360-8352, 1879-0550
Online Access:Get full text
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Summary:We consider a single-machine scheduling problem in which the processing time of each job is a simple linear deteriorating function of its waiting time. The machine is subject to an availability constraint. Jobs interrupted by machine unavailability can resume their processing. The objective is to minimize the makespan. We first show that the problem can be solved optimally by 0–1 integer programming. We then prove that the problem is NP-hard in the ordinary sense and there exists a fully polynomial time approximation scheme for it.
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ISSN:0360-8352
1879-0550
DOI:10.1016/j.cie.2010.08.005