Exact solution of the single-machine scheduling problem with periodic maintenances and sequence-dependent setup times

被引：27

作者：

Nesello, Vitor ^{[1
]}

Subramanian, Anand ^{[2
]}

Battarra, Maria ^{[3
]}

Laporte, Gilbert ^{[4
,5
]}

机构：

[1] Univ Fed Paraiba, Cidade Univ, Ctr Technol, Dept Engn Prod, Campus I Bloco G, BR-58051970 Joao Pessoa, Paraiba, Brazil

[2] Univ Fed Paraiba, Ctr Informat, Dept Sistemas Comp, Rua Escoteiros, BR-58058600 Joao Pessoa, Paraiba, Brazil

[3] Univ Bath, Sch Management, Bath BA2 7AY, Avon, England

[4] CIRRELT, Montreal, PQ H3T 2A7, Canada

[5] NEC Montreal, Montreal, PQ H3T 2A7, Canada

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2018年 / 266卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Combinatorial optimization; Scheduling; Periodic maintenances; Makespan; Arc-time-indexed formulation; MINIMIZE MAKESPAN; NONRESUMABLE JOBS; UP TIMES; TARDINESS;

D O I：

10.1016/j.ejor.2017.10.020

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

The single-machine scheduling problem with periodic maintenances and sequence-dependent setup times aims at scheduling jobs on a single machine in which periodic maintenances and setups are required. The objective is the minimization of the makespan. We propose an exact algorithm based on the iterative solution of three alternative arc-time-indexed models. Extensive computational experiments are carried out on 420 benchmark instances with up to 50 jobs, and on 405 newly proposed instances involving up to 150 jobs. We compare the results found by all formulations with those obtained by the best available mathematical formulation. All instances from the existing dataset are solved to optimality for the first time. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：498 / 507

页数：10

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