Affiliation:
1. Belarusian State University
Abstract
In this paper, we investigate a multi-server queueing system with an unlimited buffer, which can be used in the design of energy consumption schemes and as a mathematical model of unreliable real stochastic systems. Customers arrive to the system in a batch Markovian arrival process, the service times are distributed according to the phase law. If the service time of the customer by the server exceeds a certain random value distributed according to the phase law, this server receives assistance from the reserve server from a finite set of reserve servers. In the paper, we calculate the stationary distribution and performance characteristics of the system.
Publisher
Belarusian State University
Subject
Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Statistics and Probability,Algebra and Number Theory