Emergency Quantity Discount Contract with Suppliers Risk Aversion under Stochastic Price

This paper constructs an emergency quantity discount contract to explore the inherent law of the contract coordinating the supply chain with stochastic market demand and price and the risk-averse supplier. Meanwhile, the conditional value-at-risk (CVaR) risk measure criterion is revised to study the...

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Main Authors: Shuangsheng Wu, Qi Li
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/15/1791
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author Shuangsheng Wu
Qi Li
author_facet Shuangsheng Wu
Qi Li
author_sort Shuangsheng Wu
collection DOAJ
description This paper constructs an emergency quantity discount contract to explore the inherent law of the contract coordinating the supply chain with stochastic market demand and price and the risk-averse supplier. Meanwhile, the conditional value-at-risk (CVaR) risk measure criterion is revised to study the influence of supplier’s risk aversion attitude on supply chain coordination. The results show that supplier risk aversion will cause the bifurcation of the relevant factors in the supply chain under the stochastic price. Within the bifurcation region, the supply chain cannot be coordinated; out of the bifurcation region, the supply chain can achieve coordination. The supply chain related factors’ variation range in the bifurcation region is related to the step size of the risk aversion factor and the normal distribution function’s variance of the market demand, and it increases with the latter.
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spelling doaj.art-8c7e8520f1df41b48a9f50d7e118eeec2023-11-22T05:56:45ZengMDPI AGMathematics2227-73902021-07-01915179110.3390/math9151791Emergency Quantity Discount Contract with Suppliers Risk Aversion under Stochastic PriceShuangsheng Wu0Qi Li1School of Economics and Management, Tongji University, Shanghai 200092, ChinaSchool of Economics and Management, Tongji University, Shanghai 200092, ChinaThis paper constructs an emergency quantity discount contract to explore the inherent law of the contract coordinating the supply chain with stochastic market demand and price and the risk-averse supplier. Meanwhile, the conditional value-at-risk (CVaR) risk measure criterion is revised to study the influence of supplier’s risk aversion attitude on supply chain coordination. The results show that supplier risk aversion will cause the bifurcation of the relevant factors in the supply chain under the stochastic price. Within the bifurcation region, the supply chain cannot be coordinated; out of the bifurcation region, the supply chain can achieve coordination. The supply chain related factors’ variation range in the bifurcation region is related to the step size of the risk aversion factor and the normal distribution function’s variance of the market demand, and it increases with the latter.https://www.mdpi.com/2227-7390/9/15/1791stochastic pricesuppliers risk aversionquantity discount contractsupply chain coordinationCVaR
spellingShingle Shuangsheng Wu
Qi Li
Emergency Quantity Discount Contract with Suppliers Risk Aversion under Stochastic Price
Mathematics
stochastic price
suppliers risk aversion
quantity discount contract
supply chain coordination
CVaR
title Emergency Quantity Discount Contract with Suppliers Risk Aversion under Stochastic Price
title_full Emergency Quantity Discount Contract with Suppliers Risk Aversion under Stochastic Price
title_fullStr Emergency Quantity Discount Contract with Suppliers Risk Aversion under Stochastic Price
title_full_unstemmed Emergency Quantity Discount Contract with Suppliers Risk Aversion under Stochastic Price
title_short Emergency Quantity Discount Contract with Suppliers Risk Aversion under Stochastic Price
title_sort emergency quantity discount contract with suppliers risk aversion under stochastic price
topic stochastic price
suppliers risk aversion
quantity discount contract
supply chain coordination
CVaR
url https://www.mdpi.com/2227-7390/9/15/1791
work_keys_str_mv AT shuangshengwu emergencyquantitydiscountcontractwithsuppliersriskaversionunderstochasticprice
AT qili emergencyquantitydiscountcontractwithsuppliersriskaversionunderstochasticprice