Equilibrium in a transportation game

被引：0
|
作者：
Melnik, A. V. [1 ]
机构：
[1] St Petersburg State Univ, St Petersburg 199034, Russia
来源：
AUTOMATION AND REMOTE CONTROL | 2015年 / 76卷 / 05期
关键词：
Exponential distributions - Flow forms - Intensity evaluations - Intensity matrixes - Poisson process - Queueing system - Service time - Zero sums;
D O I：
10.1134/S000511791505015X
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study a noncooperative non-zero-sum m-player transportation game associated with the operation of the queueing system M/M/m on a graph. There are m transportation companies (carriers) serving the input flow of customers (passengers) with the exponential distribution of the service time described by the parameters mu (i) (i = 1, 2, aEuro broken vertical bar,m). The input flow forms a Poisson process with an intensity matrix I >. The problem of pricing and optimal intensity evaluation is solved for each carrier in the case of competition.
引用
收藏
页码：909 / 918
页数：10
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