Indian Journal of Industrial and Applied Mathematics
  • Year: 2015
  • Volume: 6
  • Issue: 1

An M/M/1/N Queuing System with Reverse Balking, Reverse Reneging, and Retention of Reneged Customers

1School of Mathematics, Shri Mata Vaishno Devi University, Katra, 182320, Jammu and Kashmir, India

2Department of Management, Jagan Institute of Management Studies, Institutional Area, Sector 5, Rohini, New Delhi, 110085, India

(* Corresponding Author) E-mail id: *rakesh_stat_kuk@yahoo.co.in

Abstract

In this paper, we study a single server finite capacity Markovian queuing system with reverse balking, reverse reneging, and retention of reneged customers. We derive the steady-state solution of the model and obtain some important measures of performance. Sensitivity analysis of the model is also performed with a numerical example.

Keywords

Queuing system, Reverse reneging, Reverse balking, Retention, Measures of performance, 60K25, 68M20, 90B22