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Two branch-and-bound algorithms for the robust parallel machine scheduling problem

delete2012-07-01
delete33
PRE
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M
Mohammad Ranjbar *
M
Morteza Davari
R
Roel Leus
DOI:10.1016/j.cor.2011.09.019delete
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摘要

摘要

En 中文
Uncertainty is an inevitable element in many practical production planning and scheduling environments. When a due date is predetermined for performing a set of jobs for a customer, production managers are often concerned with establishing a schedule with the highest possible confidence of meeting the due date. In this paper, we study the problem of scheduling a given number of jobs on a specified number of identical parallel machines when the processing time of each job is stochastic. Our goal is to find a robust schedule that maximizes the customer service level, which is the probability of the makespan not exceeding the due date. We develop two branch-and-bound algorithms for finding an optimal solution: the two algorithms differ mainly in their branching scheme. We generate a set of benchmark instances and compare the performance of the algorithms based on this dataset. (C) 2011 Elsevier Ltd. All rights reserved.
Keyword:
Robust scheduling
Identical parallel machines
Stochastic processing times
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期刊

C
Computers and Operations Research
IF:
4.3
论文数:
6.5K
被引数:
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Ferdowsi University Mashhad
学者数:
8.0K
论文数: 7.4K
被引数: 44
K
KU Leuven
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论文数: 5.2W
被引数: 8.1W
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