Competition and integration in closed-loop supply chain network with variational inequality
type: Item
instance of: scholarly article
title: Competition and integration in closed-loop supply chain network with variational inequality
zbMATH Open document ID: 1264.91080
DOI: 10.1155/2012/524809
author: Gengui Zhou
author: Yuxiang Yang
author: Jian Cao
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: A closed-loop supply chain network involves the manufactured and remanufactured homogeneous products. It comprises operation links to represent business activities including manufacturing/remanufacturing activities, treatment activities for EOL products, transportation activities, and storage activities, which are performed by the firms. Among all closed-loop supply chain problems, the horizontal merger of oligopolistic firms is so important and attracting to both businessman and researchers. In this paper, the interaction of the competitive firms prior to horizontal merger is analyzed. Three networks including prior to horizontal merger, postpartial merger, and complete merger are studied. Simultaneously, three economical models for these networks on different conditions of mergers are established and discussed. The variational inequality formulations are used for these three models, whose solutions give out the production quantity of new products, and remanufactured products, the product flows for new products, remanufactured products and end-of-life products at every path, the demand quantity, the recovery quantity of end-of-life products and the equilibrium prices. Finally, numerical examples are tested and illustrated for the proposed models.
Mathematics Subject Classification ID: 91B38
Mathematics Subject Classification ID: 90B06
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90B70
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 90B10
zbMATH DE Number: 6173351
Wikidata QID: Q58911958
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/524809
OpenAlex ID: W2170127392
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description: scientific article; zbMATH DE number 6173351