Optimal Two Stages Specially Structured Flow Shop Scheduling: Minimize the Rental Cost with Independent Setup Time
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Abstract:
One of the earliest results in flow shop scheduling theory is an algorithm given by Johnson’s [1] for scheduling jobs on two or three machines to minimize the total elapsed time whenever the processing times of jobs are random. The present paper is an attempt to develop a heuristic algorithm for two stages specially structured flow shop scheduling in which the processing times of the jobs are not completely random, but bear a well defined relationship to one another to minimize the utilization time of machines and hence their rental cost under a specified rental policy. Further the processing times and independent set up times, each are associated with probabilities. A computer programme followed by a numerical illustration is given to validate the proposed algorithm. Keywords: Processing Time, Set Up Time, Specially Structured Flow Shop, Makespan, Utilization Time, Rental Cost.
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Journal title
volume 2 issue None
pages 0- 0
publication date 2012-09
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