Worst case analysis of a new lower bound for flow shop weighted completion time problem
COCOA'07 Proceedings of the 1st international conference on Combinatorial optimization and applications
Scheduling a two-stage flowshop under makespan constraint
Mathematical and Computer Modelling: An International Journal
Operations Research Letters
Asymptotically optimal schedules for single-server flow shop problems with setup costs and times
Operations Research Letters
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In the flow shop mean completion time problem, a set of jobs has to be processed onm-machines. Every machine has to process each one of the jobs, and every job has the same routing through the machines. The objective is to determine a sequence of the jobs on the machines so as to minimize the sum of the completion times of all jobs on the final machine. In this paper, we prove the asymptotic optimality of the Shortest Processing Time algorithm for any continuous, independent, and identically distributed job processing times.