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Partially Smoothing and Gradient-Based Algorithm for Optimizing the VMI System with Competitive Retailers under Random Demands
المؤلفون المشاركون
Wan, Zhong
Deng, Hua
Li, Yinxue
Wan, Zhaoman
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-18، 18ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-03-16
دولة النشر
مصر
عدد الصفحات
18
التخصصات الرئيسية
الملخص EN
Vendor managed inventory (VMI) is an improved sustainable inventory management system, but it is difficult to establish and solve an integrated Stackelberg game model under the complicated practical environment.
In this paper, a bilevel programming model is proposed to formulate the VMI system by taking into account the uncertainty of demand, the competition among retailers, the cooperative advertising, the shortage and holding costs, and the practical constraints.
For the established stochastic model being associated with continuously random demands, a deterministic mathematical program with complementarity constraints (MPCC) is first derived by expectation method and the first-order optimality conditions of the lower-level problem.
Then, with a partially smoothing technique, the MPCC is solved by transforming it into a series of standard smooth optimization subproblems.
Finally, owing to complexity caused by evaluating the integrals with unknown decision variables in the objective function, an efficient algorithm is developed to solve the problem based on the gradient information of model.
Sensitivity analysis has been employed to reveal a number of managerial implications from the constructed model and algorithm.
(1) The participation rate depends on advertising expenditures from both the manufacturer and the retailer.
There exists an optimal threshold of participation rate for the manufacturer, which can be provided by the intersection point of the manufacturer and retailer’s cost-profit curves.
(2) The manufacturer’s advertising policy is less sensitive to uncertainty of demand than the change of the retailer’s advertising policy.
(3) The manufacturer in the VMI system should concern about the differences caused by symmetric or asymmetric retailers.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Deng, Hua& Li, Yinxue& Wan, Zhaoman& Wan, Zhong. 2020. Partially Smoothing and Gradient-Based Algorithm for Optimizing the VMI System with Competitive Retailers under Random Demands. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1194574
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Deng, Hua…[et al.]. Partially Smoothing and Gradient-Based Algorithm for Optimizing the VMI System with Competitive Retailers under Random Demands. Mathematical Problems in Engineering No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1194574
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Deng, Hua& Li, Yinxue& Wan, Zhaoman& Wan, Zhong. Partially Smoothing and Gradient-Based Algorithm for Optimizing the VMI System with Competitive Retailers under Random Demands. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1194574
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1194574
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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