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.
D. Gupta, S. Sharma, S. Bala. Optimal Two Stages Specially Structured Flow Shop Scheduling: Minimize the Rental Cost with Independent Setup Time. International Journal of Applied Operational Research 2012; 2 (3) URL: http://ijorlu.liau.ac.ir/article-1-176-en.html