A quorum queueing system with an unreliable server

Elementary Markov Queueing Systems with Unreliable Server

In the queueing theory we usually ignore the fact that utility server is often a technical device and its breakdown can occur. Common analytic models (see for example in [1] or [2]) assume that the server works reliably without failures causing its deficit. If failures of the server occur often and we would use an analytic model of reliable queueing system for modeling studied system, reached o...

Controlling arrivals for a queueing system with an unreliable server: Newton-Quasi method

Analysis of a Batch Arrival Single Service Queueing System with Unreliable Server and Single Vacation

Many authors have analyzed queueing systems with server breakdowns. Kendall (1953) studied stochastic processes occurring in the theory of queues and their analysis by the method of imbedded Markov chains. Buzacott and Hanifin (1978) classified the machine failures as operation dependent failures and time dependent failures. Shanthikumar (1982) analyzed a M/G/1 queueing system with time and ope...

two server queueing system with single and batch service

a two server queueing system with single and batch service is considered in this paper. the arrival process is assumed to be poisson and the service rate follows an exponential distribution. server-i serves the customers in both single and batch service, while server-ii serves the customers in batch service only. the laplace transform of the transient and steady state behavior of the model is c...

Analysis Of Unreliable Multi-Server Queueing System With Breakdowns Spread And Quarantine

We consider an unreliable multi-server queue in which the rate of servers’ breakdowns increases when the number of broken servers grows. To prevent quick degradation of the system, it is proposed to switch to a quarantine regime when the number of broken servers exceeds some threshold and to maintain this regime until the number of broken servers becomes less than another threshold. During the ...