Stochastic server model with limited storage size

Abstract

In this paper analytic model of server servicing requests of many users is presented. Every user can dispose of computer system having its own characteristics and can be represented by classical queue but in fact users are dependent because they are connected via common memory space which is limited. Analogous models can represent mail or ftp servers and can be used to calculate needed server storage size ([1, 2]). In this research stationary distribution function of number of requests and stationary refusal probability for every user was obtained. It contains also review of some special cases.