3.8 Article

A sustainable dynamic closed-loop supply chain network equilibrium for collectibles markets

期刊

COMPUTATIONAL MANAGEMENT SCIENCE
卷 20, 期 1, 页码 -

出版社

SPRINGER HEIDELBERG
DOI: 10.1007/s10287-023-00452-4

关键词

Evolutionary variational inequality; Reverse logistics; Second-hand market; Closed-loop supply chain; Online platform; Pollution control

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In this paper, a sustainable closed-loop supply chain equilibrium problem is discussed in the context of collectible items and a time-dependent framework. The network under consideration comprises of manufacturers, retailers, demand markets, and an online second-hand platform with both forward and reverse logistics competition. The research analyzes the optimal behaviors of decision-makers and provides the necessary conditions for achieving equilibrium in the closed-loop supply chain network. Additionally, an associated evolutionary variational inequality and an infinite-dimensional projected dynamical system are introduced as tools to solve the problem, with a numerical example involving eBay as the online platform.
In this paper, we present a sustainable closed-loop supply chain network equilibrium problem for collectible items in a time-dependent framework. In particular, we consider a network consisting of manufacturers, retailers, demand markets, and an online second-hand platform involved in forward and reverse logistics competition. Manufacturers as well as retailers try to control the amount of emissions generated in transaction processes. We analyze the optimal behaviors of all the decision-makers, and we give the governing closed-loop supply chain network equilibrium conditions. Then, we introduce the associated evolutionary variational inequality and the related infinite-dimensional projected dynamical system, which are convenient to solve such a problem. Finally, using a discrete-time approximation procedure, we solve a numerical example considering eBay as online platform.

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