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Tactical fixed job scheduling with spread-time constraints
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Zhou, Shuyu, Zhang, Xiandong, Chen, Bo and Velde, Steef van de (2014) Tactical fixed job scheduling with spread-time constraints. Computers And Operations Research , Volume 47 . pp. 53-60. doi:10.1016/j.cor.2014.02.001
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Official URL: http://dx.doi.org/10.1016/j.cor.2014.02.001
Abstract
We address the tactical fixed job scheduling problem with spread-time constraints.
In such a problem, there are a fixed number of classes of machines and a fixed number of groups of jobs. Jobs of the same group can only be processed by machines of a given set of classes. All jobs have their fixed
start and end times. Each machine is associated with a cost according to its machine class. Machines have spread-time constraints, with which each machine
is only available for L consecutive time units from the start time of the earliest job assigned to it. The objective is to minimize the total cost of the machines used to process all the jobs. For this strongly NP-hard problem, we develop a branch-and-price algorithm, which solves instances with up to 300 jobs, as compared with CPLEX, which cannot solve instances of 100 jobs.
We further investigate the influence of machine flexibility by computational experiments. Our results show that limited machine flexibility is sufficient in most situations.
| Item Type: | Journal Article | ||||
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| Subjects: | H Social Sciences > HB Economic Theory H Social Sciences > HD Industries. Land use. Labor H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management |
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| Divisions: | Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences Faculty of Social Sciences > Warwick Business School |
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| Library of Congress Subject Headings (LCSH): | Machinery -- Testing, Manufacturing industries , Machine design | ||||
| Journal or Publication Title: | Computers And Operations Research | ||||
| Publisher: | Elsevier BV | ||||
| ISSN: | 0305-0548 | ||||
| Official Date: | July 2014 | ||||
| Dates: |
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| Volume: | Volume 47 | ||||
| Number of Pages: | 23 | ||||
| Page Range: | pp. 53-60 | ||||
| DOI: | 10.1016/j.cor.2014.02.001 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Guo jia zi ran ke xue ji jin wei yuan hui (China) [National Natural Science Foundation of China] (NSFC) | ||||
| Grant number: | 71171058, 70832002, 70971100 (NSFC) |
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