Optimal control of M/M/1 queueing system with constant retrial rate and non-reliable removable server

The paper is concerned with the optimal control with respect to N-policy of the M/M/1 queue with constant retrial rate and non-reliable removable server. According to the N-policy, the server can start service only when the number of customers in the system reaches level N (N ≥ 1). We perform a steady-state analysis of the corresponding continuous-time Markov chain and calculate optimal threshold level to minimize the long-run average losses given cost structure. © 2009 IEEE.

Authors
Efrosinin D. 1 , Semenova O.2
Conference proceedings
2009 International Conference on Ultra Modern Telecommunications and Workshops
Language
English
Status
Published
DOI
10.1109/ICUMT.2009.5345415
Number
5345415
Year
2009
Organizations
  • 1 Dept. of Prob. Theory and Math. Statistics, Peoples' Friendship University of Russia, Moscow, Russian Federation
  • 2 ZAO RPC Information and System Technologies, Staroalekseevskaja str., 5-215, Moscow, Russian Federation
Keywords
Average loss; Continuous time Markov chain; Cost structure; N-policy; Optimal controls; Optimal threshold; Queueing system; Removable servers; Steady-state analysis; Markov processes; Queueing networks; Optimization
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2872/
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