A multi server markovian queueing system with discouraged arrivals, retention of reneged customers, controllable arrival rates, loss and delay and no passing

Premalatha S,Thiagarajan M

doi:10.24327/ijrsr.2017.0803.0017

Abstract

A multi server markovian queueing system with discouraged arrivals, retention of reneged customers, controllable arrival rates, loss and delay and no passing

Highlights

Queues with discouraged arrivals have applications in computer with batch job processing where job submissions are discouraged when the system is used frequently and arrivals are modelled as a Poisson process with state dependent arrival rate
In the loss and delay queueing system, the customers are classified into two classes
An attempt is made in this paper to obtain the relevant results of the M/M/c/K interdependent discouraged arrivals and retention of reneged customers with arrival rates is considered

Summary

INTRODUCTION

Queues with discouraged arrivals have applications in computer with batch job processing where job submissions are discouraged when the system is used frequently and arrivals are modelled as a Poisson process with state dependent arrival rate. In the loss and delay queueing system, the customers are classified into two classes. They are (i) Elective customers and (ii) Emergency customers. Many models on loss and delay queueing system with no passing have been studied. Srinivasa Rao et al[6] have discussed M/M/1/∞ interdependent queueing model with controllable arrival rates. A.Srinivasan and M.Thiagarajan [7, 8] have analysed M/M/1/K interdependent queueing model with controllable arrival rates balking, reneging and spares. Premalatha.S and Thiagarajan.M, A Multi Server Markovian Queueing System With Discouraged Arrivals, Retention of Reneged Customers, Controllable Arrival Rates, Loss and Delay And no Passing. S.Premalatha and M.Thiagarajan [5] have studied interdependent discouraged arrivals and retention of reneged customers with controllable arrival rates. An attempt is made in this paper to obtain the relevant results of the M/M/c/K interdependent discouraged arrivals and retention of reneged customers with arrival rates is considered

Description of the Model

Characteristics of the Model

Numerical Illustrations