A CLASS OF UNCERTAIN NASH EQUILIBRIUM PROBLEM BASED ON CLARKE GENERALIZED GRADIENT APPLIED TO SUPPLY CHAIN MANAGEMENT

A CLASS OF UNCERTAIN NASH EQUILIBRIUM PROBLEM BASED ON CLARKE GENERALIZED GRADIENT APPLIED TO SUPPLY CHAIN MANAGEMENT

In this paper, we develop an uncertain supply chain network equilibrium model to tackle uncertainties in supply chain management, encompassing challenges like raw material price fluctuations, transportation delays, lost goods, and natural disasters. It is possible to cast the model as an Uncertain N...

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Published in:Journal of Nonlinear and Convex Analysis
Main Author: Li C.; Zhao T.; Yee H.M.; Din N.
Format: Article
Language:English
Published: Yokohama Publications 2024
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190656943&partnerID=40&md5=0c4b0fdfb2e12e5f239d78c685b56898
id 2-s2.0-85190656943
spelling 2-s2.0-85190656943
Li C.; Zhao T.; Yee H.M.; Din N.
A CLASS OF UNCERTAIN NASH EQUILIBRIUM PROBLEM BASED ON CLARKE GENERALIZED GRADIENT APPLIED TO SUPPLY CHAIN MANAGEMENT
2024
Journal of Nonlinear and Convex Analysis
25
3

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190656943&partnerID=40&md5=0c4b0fdfb2e12e5f239d78c685b56898
In this paper, we develop an uncertain supply chain network equilibrium model to tackle uncertainties in supply chain management, encompassing challenges like raw material price fluctuations, transportation delays, lost goods, and natural disasters. It is possible to cast the model as an Uncertain Nash Equilibrium Problem(UNEP). In a non-empty compact space, a class of Clarke generalized gradient functions with outer semi-continuous closed integrability is chosen. Based on the Riemann-Stieltjes discrete approximation, it is difficult to compute the expectation value of a nonsmooth optimal value function in an UNEP. However, by introducing a first-order equilibrium condition for the UNEP, we obtain the existence of an UNEP solution. It is possible to cast the model as an uncertain Nash equilibrium problem. Consequently, this improves supply chain efficiency, reduces costs and maintains a competitive advantage. © 2024 Yokohama Publications. All rights reserved.
Yokohama Publications
13454773
English
Article
author Li C.; Zhao T.; Yee H.M.; Din N.
spellingShingle Li C.; Zhao T.; Yee H.M.; Din N.
A CLASS OF UNCERTAIN NASH EQUILIBRIUM PROBLEM BASED ON CLARKE GENERALIZED GRADIENT APPLIED TO SUPPLY CHAIN MANAGEMENT
author_facet Li C.; Zhao T.; Yee H.M.; Din N.
author_sort Li C.; Zhao T.; Yee H.M.; Din N.
title A CLASS OF UNCERTAIN NASH EQUILIBRIUM PROBLEM BASED ON CLARKE GENERALIZED GRADIENT APPLIED TO SUPPLY CHAIN MANAGEMENT
title_short A CLASS OF UNCERTAIN NASH EQUILIBRIUM PROBLEM BASED ON CLARKE GENERALIZED GRADIENT APPLIED TO SUPPLY CHAIN MANAGEMENT
title_full A CLASS OF UNCERTAIN NASH EQUILIBRIUM PROBLEM BASED ON CLARKE GENERALIZED GRADIENT APPLIED TO SUPPLY CHAIN MANAGEMENT
title_fullStr A CLASS OF UNCERTAIN NASH EQUILIBRIUM PROBLEM BASED ON CLARKE GENERALIZED GRADIENT APPLIED TO SUPPLY CHAIN MANAGEMENT
title_full_unstemmed A CLASS OF UNCERTAIN NASH EQUILIBRIUM PROBLEM BASED ON CLARKE GENERALIZED GRADIENT APPLIED TO SUPPLY CHAIN MANAGEMENT
title_sort A CLASS OF UNCERTAIN NASH EQUILIBRIUM PROBLEM BASED ON CLARKE GENERALIZED GRADIENT APPLIED TO SUPPLY CHAIN MANAGEMENT
publishDate 2024
container_title Journal of Nonlinear and Convex Analysis
container_volume 25
container_issue 3
doi_str_mv
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190656943&partnerID=40&md5=0c4b0fdfb2e12e5f239d78c685b56898
description In this paper, we develop an uncertain supply chain network equilibrium model to tackle uncertainties in supply chain management, encompassing challenges like raw material price fluctuations, transportation delays, lost goods, and natural disasters. It is possible to cast the model as an Uncertain Nash Equilibrium Problem(UNEP). In a non-empty compact space, a class of Clarke generalized gradient functions with outer semi-continuous closed integrability is chosen. Based on the Riemann-Stieltjes discrete approximation, it is difficult to compute the expectation value of a nonsmooth optimal value function in an UNEP. However, by introducing a first-order equilibrium condition for the UNEP, we obtain the existence of an UNEP solution. It is possible to cast the model as an uncertain Nash equilibrium problem. Consequently, this improves supply chain efficiency, reduces costs and maintains a competitive advantage. © 2024 Yokohama Publications. All rights reserved.
publisher Yokohama Publications
issn 13454773
language English
format Article
accesstype
record_format scopus
collection Scopus
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