Paper Info
Title
Tactical fixed job scheduling with spread-time constraints
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.
Year
DOI
Venue
2014
10.1016/j.cor.2014.02.001
Computers & OR
Keywords
DocType
Volume
tactical fixed job scheduling,machine flexibility,fixed start,limited machine flexibility,earliest job,L consecutive time unit,machine class,NP-hard problem,spread-time constraint,fixed number
Journal
47,
ISSN
Citations 
PageRank 
0305-0548
3
0.41
References 
Authors
11
4
Name
Order
Citations
PageRank
Shuyu Zhou131.09
Xiandong Zhang2303.70
Bo Chen311414.68
Steef van de Velde4213.31