Applied mathematics

The model of service selection in the presence of different ways of ordering

V. M. Bure, A. A. Sergeeva

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes

Abstract: The company that provides services for processing customer orders is considered. The company offers several ways to implement the order, each customer chooses the best method for himself trying to minimize their costs. Company provides services through three types of an order technique. The existence of equilibrium for $n$ person game where players are the customers of the company is used to solve this problem. All equilibria are explicitly found.

Keywords: probability and game-theoretical modeling, queueing problem, $n$ persons game, Nash equilibrium, the optimal strategy.

UDC: 519.2


Accepted: October 20, 2011