Stochastic problem of competitive location of facilities with quantile criterion

被引：10
|
作者：
Ivanov, S. V. [1 ]
Morozova, M. V. [1 ]
机构：
[1] Moscow State Aviat Inst, Moscow, Russia
来源：
AUTOMATION AND REMOTE CONTROL | 2016年 / 77卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
DISCRETE DISTRIBUTION;
D O I：
10.1134/S0005117916030073
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A stochastic problem of facility location formulated as a discrete bilevel problem of stochastic programming with quantile criterion was proposed. Consideration was given there to a pair of competitive players successively locating facilities with the aim of maximizing their profits. For the case of discrete distribution of the random consumer demands, it was proposed to reduce the original problem to the deterministic problem of bilevel programming. A method to calculate the value of the objective function under fixed leader strategy and procedures to construct the upper and lower bounds of the optimal value of the objective function were proposed.
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页码：451 / 461
页数：11
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