THE EFFECT OF A MAP FLOW ON PERFORMANCE MEASURES OF CONTROLLABLE QUEUEING SYSTEM WITH HETEROGENEOUS SERVERS IN A RANDOM ENVIRONMENT

In this paper we study a MAP/M/2 queueing system with heterogeneous servers. The system operates in a Markovian random environment which modulated service rates of faster server. The allocation of customers between the servers proceeds according to a heuristic FFS-policy (Fastes Free Server) and to an optimal policy which minimizes the average number of customers in the system. It is shown that the correlated arrivals may have different impact on the average number of customers in the system and on other performance measures dependent on the value of correlation, properties of the random environment and type of the allocation policy.

Authors
Efrosinin D. 1, 2 , Krishnamoorthy A. 3 , Vishnevskiy V.1 , Kozyrev D. 1
Conference proceedings
Distributed computer and communication networks: control, computation, communications (DCCN-2018)
Publisher
РУДН
Language
English
Pages
415-433
Status
Published
Year
2018
Organizations
  • 1 V.A. Trapeznikov Institute of Control Sciences of RAS
  • 2 Johannes Kepler University
  • 3 Department of Mathematics, CMS College
  • 4 Peoples' Friendship University of Russia (RUDN University)
Keywords
Markovian arrival process; heterogeneous servers; random environment; optimal threshold policy; FFS-policy
Date of creation
07.11.2019
Date of change
07.11.2019
Short link
https://repository.rudn.ru/en/records/article/record/53774/
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