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A new complexity proof for the two-stage hybrid flow shop scheduling problem with dedicated machines

2009/03/16 by Jaehwan Yang · 1 citation
Engineering · #Scheduling and Optimization Algorithms #Assembly Line Balancing Optimization #Advanced Manufacturing and Logistics Optimization

paper · doi:10.1080/00207540802691374

Abstract

This paper considers a two-stage hybrid flow shop scheduling problem with dedicated machines at stage 2. The objective is to minimise the makespan. There is one machine at stage 1 and two machines at stage 2. Each job must be processed on the single machine at stage 1 and, depending upon the job type, the job is processed on either of the two machines at stage 2. We first introduce this special type of the two-stage hybrid flow shop scheduling problem and present some preliminary results. We then present a counter example to the known complexity proof of Riane et al. [Riane, F., Artiba, A. and Elmaghraby, S.E., 2002. Sequencing a hybrid two-stage flowshop with dedicated machines. International Journal of Production Research, 40, 4353–4380.] Finally, we re-establish the complexity of the problem.

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