On Two-Echelon Multi-Server Queue with Balking and Limited Intermediate Buffer

Controllable Multi-Server Queue with Balking (TECHNICAL NOTE)

The Approach of Convergence to Stationary State of Multi Server Queue with Balking (TECHNICAL NOTE)

This investigation deals with multi server queue with balking. The customers arrive in poisson fashion and independent of time, under the assumption that system is initially empty. The number of customers in the system is stochastically increasing and distributed in steady state (stationary state) as required. The expressions for the measure of the speed of convergence from transient state to s...

Unreliable Server Mx/G/1 Queue with Loss-delay, Balking and Second Optional Service

This investigation deals with MX/G/1 queueing model with setup, bulk- arrival, loss-delay and balking. The provision of second optional service apart from essential service by an unreliable server is taken into consideration. We assume that the delay customers join the queue when server is busy whereas loss customers depart from the system. After receiving the essential service, the customers m...

ANALYSIS OF FINITE BUFFER RENEWAL INPUT QUEUE WITH BALKING AND MARKOVIAN SERVICE PROCESS

This paper presents the analysis of a renewal input  finite buffer queue wherein the customers can decide either to  join the queue with a probability or balk. The service process is Markovian service process ($MSP$) governed  by an underlying $m$-state Markov chain. Employing the supplementary  variable and imbedded Markov chain techniques,   the steady-state system length distributions at pre...

A Multi-Server Markovian Feedback Queue with Balking Reneging and Retention of Reneged Customers

The quality of service provides a competitive edge to any business firm. Lack of better service quality mechanism may lead to the dissatisfied customers (feedback customers). This causes loss of goodwill among the customers and finally, the firms may lose their potential customers. Further, due to long wait customers may get impatient, and may abandon the queueing system before getting service....

On the stability of the multi-queue multi-server processor sharing with limited service

We consider a multi-queue multi-server system with n servers (processors) and m queues. At the system there arrives a stationary and er-godic stream of m different types of requests with service requirements which are served according to the following k-limited head of the line processor sharing discipline: The first k requests at the head of the m queues are served in processor sharing by the ...