Solving the minmax product rate variation problem (PRVP) as a bottleneck assignment problem

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...

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Bibliographic Details
Authors: Moreno Palli, Natalia, Corominas Subias, Albert|||0000-0002-4795-7761
Format: article
Publication Date:2006
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/6076
Online Access:https://hdl.handle.net/2117/6076
Access Level:Open access
Keyword:Assembly-line methods
Product rate variation problem
Bottleneck assignment problem
Problema de asignación
Cuello de botella
Problema d'assignació
Coll d'ampolla
PRVP
Producció -- Planificació
Àrees temàtiques de la UPC::Economia i organització d'empreses::Direcció d'operacions
Description
Summary: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.