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

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 typ...

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Veröffentlicht in:International journal of production research 2010-03, Vol.48 (5), p.1531-1538
1. Verfasser: Yang, Jaehwan
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description 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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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. 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subjects Applied sciences
Complexity
computational complexity
Exact sciences and technology
hybrid flow shop
Inventory control, production control. Distribution
Job shops
Machine shops
Operational research and scientific management
Operational research. Management science
Production scheduling
Proving
Scheduling
Scheduling, sequencing
Sequencing
Studies
title A new complexity proof for the two-stage hybrid flow shop scheduling problem with dedicated machines
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