Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 161, Issue 1, Pages 32-41Publisher
ELSEVIER
DOI: 10.1016/j.ejor.2003.03.002
Keywords
flexible manufacturing systems; flow shop; scheduling; complexity
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In most manufacturing and distribution systems, semi-finished jobs are transferred from one processing facility to another by transporters such as Automated Guided Vehicles, robots and conveyors, and finished jobs are delivered to warehouses or customers by vehicles such as trucks. This paper investigates two-machine flow shop scheduling problems taking transportation into account. The finished jobs are transferred from the processing facility and delivered to customers by truck. Both transportation capacity and transportation times are explicitly taken into account in these models. We study the class of flow shop problems by analysing their complexity. For the makespan objective function, we prove that this problem is strongly NP-hard when the capacity of a truck is limited to two or three parts with an unlimited buffer at the output of the each machine. This problem with additional constraints, such as blocking, is also proven to be strongly NP-hard. (C) 2003 Elsevier B.V. All rights reserved.
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