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Computers & Operations Research
Volume 23, Issue 5, May 1996, Pages 443-451
 
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doi:10.1016/0305-0548(95)00034-8    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1996 Published by Elsevier Science Ltd.

Bilevel programming applied to the flow shop scheduling problem

John K. Karlofa, and Wei Wangb,

a Mathematical Sciences Department, The University of North Carolina at Wilmington, 601 South College Road, Wilmington, NC 28403-3297, U.S.A. b Cascade Fibers Co., Stanford, NC, U.S.A.

Available online 22 February 1999.

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Abstract

A two level branch and bound algorithm is developed to solve an altered form of the standard flow-shop scheduling problem modeled as a bilevel programming problem. The flow-shop scheduling problem considered here differs from the standard problem in that operators are assigned to the machines and each operator has a different time table for the jobs on each machine. The shop owner is considered the top planner and assigns the operators to the machines in order to minimize the total flowtime while the customer is the bottom planner and decides on a job schedule in order to minimize the makespan.

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