Solving the minmax product rate variation problem as a bottleneck assignment problem

Solving the minmax product rate variation problem as a bottleneck assignment problem

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Article ID: iaor20071722
Country: United Kingdom
Volume: 33
Issue: 4
Start Page Number: 928
End Page Number: 939
Publication Date: Apr 2006
Journal: Computers and Operations Research
Authors: ,
Abstract:

In this paper, we consider the minmax product rate variation problem (PRVP), which consists in sequencing copies of different products on an assembly line in such a way that the maximum value of a discrepancy function between actual and ideal productions is minimum. One means of solving this problem lies in its reduction to a bottleneck assignment problem with a matrix of a special structure. To solve it, three different approaches have been adopted. These approaches exploit specific minmax PRVP matrix properties. This paper presents a computational experiment with symmetric and asymmetric objective functions and offers conclusions about the most efficient way to find optimal solutions.

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