Scientific publications

Morozov, E., Peshkova, I., Rumyantsev, A.

On Failure Rate Comparison of Finite Multiserver Systems

// Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 11965 LNCS. 2019. Pp. 419-431

Keywords: Failure rate comparison, Coupling, Multiserver system, Queue size estimation

In this work, we discuss various (stochastic) orderings between random variables, with focus on the failure rate comparison. Then these results are applied to construct a coupling of random variables. In particular, it is shown how to compare the failure rates of various distributions, including Exponential, Weibull, Pareto and Burr distributions. These results are then applied to establish some monotonicity properties of the multiserver queueing systems with finite waiting room. These theoretical results are illustrated by a numerical simulation of M/G/c/n and M/M/c/n queueing systems.

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85077498010&doi=10.1007%2f978-3-030-36614-8_32&partnerID=40&md5=d67fdce4409e0d1b0611dba26ed7e998

DOI: 10.1007/978-3-030-36614-8_32

Indexed at Scopus

Last modified: June 4, 2021