Retrial queueing model with two heterogeneous server using matrix geometric method

Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns

Two-Heterogeneous Server Markovian Queueing Model with Discouraged Arrivals, Reneging and Retention of Reneged Customers

 Customer impatience (reneging) has negative impact on the performance of queueing systems. If we talk from business point of view, firms lose their potential customers due to customer impatience which affects their business as a whole. It is envisaged that if the firms employ certain customer retention strategies then there are chances that a certain fraction of impatient customers can be ret...

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...

A Heterogeneous Two-Server Queueing System with Balking and Server Breakdowns

In this paper, we study an M/M/2 queueing system with balking and two heterogeneous servers, Server 1 and Server 2. Customers arrive according to a Poisson process and form a single waiting line. Two parallel servers provide heterogeneous exponential service to customers on a firstcome first-served basis. It is assumed that Server 1 is perfectly reliable and Server 2 is subject to breakdowns. F...

Performance Analysis of a Two-Server Heterogeneous Retrial Queue with Threshold Policy

Abstract: In the paper we deal with a Markovian queueing system with two heterogeneous servers and constant retrial rate. The system operates under a threshold policy which prescribes the activation of the faster server whenever it is idle and a customer tries to occupy it. The slower server can be activated only when the number of waiting customers exceeds a threshold level. The dynamic behavi...