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Robust Model of Discrete Competitive Facility Location Problem with Partially Proportional Rule
المؤلف
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-12، 12ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-01-21
دولة النشر
مصر
عدد الصفحات
12
التخصصات الرئيسية
الملخص EN
When consumers faced with the choice of competitive chain facilities that offer exclusive services, current rules cannot describe these customers’ behaviors very well.
So we propose a partially proportional rule to represent this kind of customer behavior.
In addition, the exact demands of customers in many real-world environments are often difficult to determine.
This is contradicting to the assumption in most studies of the competitive facility location problem.
For the competitive facility location problem with the partially proportional rule, we establish a robust optimization model to handle the uncertainty of customers’ demands.
We propose two methods to solve the robust model by studying the properties of the counterpart problem.
The first method MIP is presented by solving a mixed-integer optimization model of the counterpart problem directly.
The second method SAS is given by embedding a sorting subalgorithm into the simulated annealing framework, in which the sorting subalgorithm can easily solve the subproblem.
The effects of the budget and the robust control parameter to the location scheme are analyzed in a quasi-real example.
The result shows that changes in the robust control parameter can affect the customer demands that were captured by the new entrants, thereby changing the optimal solution for facility location.
In addition, there is a threshold of the robust control parameter for any given budget.
Only when the robust control parameter is larger than this threshold, the market share captured by the new entering firm increases with the increases of this parameter.
Finally, numerical experiments show the superiority of the algorithm SAS in large-scare competitive facility location problems.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Yu, Wuyang. 2020. Robust Model of Discrete Competitive Facility Location Problem with Partially Proportional Rule. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1194202
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Yu, Wuyang. Robust Model of Discrete Competitive Facility Location Problem with Partially Proportional Rule. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1194202
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Yu, Wuyang. Robust Model of Discrete Competitive Facility Location Problem with Partially Proportional Rule. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1194202
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1194202
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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