@inproceedings{68c7eb3a38ae4a3b87872b92be8d8086,
title = "Optimal control of a two-server heterogeneous queueing system with breakdowns and constant retrials",
abstract = "Heterogeneous servers which can differ in service speed and reliability are getting more popular in modelling of modern communication systems. For a two-server queueing system with one non-reliable server and constant retrial discipline we formulate an optimal allocation problem for minimizing a long-run average cost per unit of time. Using a Markov decision process formulation we prove a number of monotone properties for the increments of the dynamic-programming value function. Such properties imply the optimality of the two-level threshold control policy. This policy prescribes the usage of the less productive server if the number of customers in the queue becomes higher as a predefined level which depends on a state of non-reliable more powerful server. We provide also a heuristic solution for the optimal threshold levels in explicit form as a function of system parameters.",
author = "Dmitry Efrosinin and Janos Sztrik",
year = "2016",
doi = "10.1007/978-3-319-44615-8\_5",
language = "English",
isbn = "9783319446141",
volume = "638",
series = "Communications in Computer and Information Science",
publisher = "Springer",
pages = "57--72",
editor = "Rafael Yakupov and Alexander Gortsev and Anatoly Nazarov and Alexander Dudin",
booktitle = "Information Technologies and Mathematical Modelling: Queueing Theory and Applications. 15th International Scientific Conference, ITMM 2016, named after A.F. Terpugov, Katun, Russia, September 12-16, 2016. Proceedings",
}