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Author
Pereira, J.
Title
The robust (minmax regret) single machine scheduling with interval processing times and total weighted completion time objective
Type
Year
2016
Publication
Computers & Operations Research
Abbreviated Journal
Comput. Oper. Res.
Volume
66
Issue
Pages
141-152
Keywords
Scheduling
;
Single machine
;
Uncertainty
;
Robust optimization
;
Branch-and-bound
Abstract
Single machine scheduling is a classical optimization problem that depicts multiple real life systems in which a single resource (the machine) represents the whole system or the bottleneck operation of the system. In this paper we consider the problem under a weighted completion time performance metric in which the processing time of the tasks to perform (the jobs) are uncertain, but can only take values from closed intervals. The objective is then to find a solution that minimizes the maximum absolute regret for any possible realization of the processing times. We present an exact branch-and-bound method to solve the problem, and conduct a computational experiment to ascertain the possibilities and limitations of the proposed method. The results show that the algorithm is able to optimally solve instances of moderate size (25-40 jobs depending on the characteristics of the instance). (c) 2015 Elsevier Ltd. All rights reserved.
Address
[Pereira, Jordi] Univ Adolfo Ibanez, Fac Sci & Engn, Vina Del Mar, Chile, Email: jorge.pereira@uai.cl
Corporate Author
Thesis
Publisher
Pergamon-Elsevier Science Ltd
Place of Publication
Editor
Language
English
Summary Language
Original Title
Series Editor
Series Title
Abbreviated Series Title
Series Volume
Series Issue
Edition
ISSN
0305-0548
ISBN
Medium
Area
Expedition
Conference
Notes
WOS:000366779900013
Approved
Call Number
UAI @ eduardo.moreno @
Serial
558
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