An improved FPTAS for maximizing the weighted number of just-in-time jobs in a two-machine flow shop problem

Recently, Shabtay and Bensoussan ( 2012 ) developed an original exact pseudo-polynomial algorithm and an efficient -approximation algorithm (FPTAS) for maximizing the weighted number of just-in-time jobs in a two-machine flow shop problem. The complexity of the FPTAS is (( )log( / )), where is the n...

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Bibliographic Details
Published in:Journal of scheduling Vol. 16; no. 4; pp. 429 - 435
Main Authors: Elalouf, Amir, Levner, Eugene, Tang, Huajun
Format: Journal Article
Language:English
Published: Boston Springer US 01.08.2013
Springer Nature B.V
Subjects:
Algorithms
Approximation
Artificial Intelligence
Business and Management
Calculus of Variations and Optimal Control; Optimization
Codes
Job shops
Just in time
Operations Research/Decision Theory
Optimization
Production scheduling
Schedules
Scheduling
Studies
Supply Chain Management
Just-in-time scheduling
Pseudo-polynomial algorithm
Flow shop
FPTAS
Complexity
ISSN:1094-6136, 1099-1425
Online Access:Get full text
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Summary:Recently, Shabtay and Bensoussan ( 2012 ) developed an original exact pseudo-polynomial algorithm and an efficient -approximation algorithm (FPTAS) for maximizing the weighted number of just-in-time jobs in a two-machine flow shop problem. The complexity of the FPTAS is (( )log( / )), where is the number of jobs. In this note we suggest another pseudo-polynomial algorithm that can be converted to a new FPTAS which improves Shabtay–Bensoussan’s complexity result and runs in time.
Bibliography:SourceType-Scholarly Journals-1
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ISSN:1094-6136
1099-1425
DOI:10.1007/s10951-013-0320-6