We present a shifting bottleneck heuristic for minimizing the total weighted tardiness in a job shop. The method decomposes the job shop into a number of single-machine subproblems that are solved one after another. Each machine is scheduled according to the solution of its corresponding subproblem.
Heuristics for minimizing total weighted tardiness in flexible flow shops
β Scribed by Ya Yang; Stephan Kreipl; Michael Pinedo
- Publisher
- Springer US
- Year
- 2000
- Tongue
- English
- Weight
- 156 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1094-6136
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β¦ Synopsis
Consider a #exible #ow shop with s stages in series and at each stage a number of identical machines in parallel. There are n jobs to be processed and each job has to go through the stages following the same route. Job j has release date r H , due date d H , weight w H and a processing time p HJ at stage l, l"1, 2 , s. The objective is to minimize the total weighted tardiness of the n jobs. In this paper we describe and analyse three heuristics. The "rst one is a decomposition algorithm that solves the problem by decomposing the #exible #ow shop problem into a series of single-stage scheduling subproblems. The second one is an algorithm based on local search. The third heuristic is a hybrid algorithm that combines the "rst two. We conclude with a comparative study of the three heuristics.
π SIMILAR VOLUMES
We consider a job shop with m machines. There are n jobs and each job has a speciΓΏed sequence to be processed by the machines. Job j has release date rj, due date dj, weight wj and processing time pij on machine i (1; : : : ; m). The objective is to minimize the total weighted tardiness of the n job
We study the special case of the m machine flow shop problem in which the processing time of each operation of job j is equal to p H ; this variant of the flow shop problem is known as the proportionate flow shop problem. We show that for any number of machines and for any regular performance criter