International Journal of Engineering and Management Research (IJEMR)
  • Year: 2015
  • Volume: 5
  • Issue: 3

On the Robustness of the Characteristics Related to (M\M\1) (∞\FCFS) Queue System Model

  • Author:
  • P. K. Gupta1, Jaideep Goel2
  • Total Page Count: 9
  • Page Number: 839 to 847

1Department of Statistics, D.A.V. (P.G.) College, Muzaffarnagar, (U.P.), India

2Forest Department (U.P.), Rana Pratap Marg, Lucknow, (U.P.), India

Online published on 21 November, 2017.

Abstract

Various Queues system have been analyzed in respect of their characteristics using the corresponding probability mass function (p.m.f.). Traffic intensity (denoted by ρ) defined as the ratio of the arrival rate to the service rate, is an important parameter of this p.m.f. With the advancement in science and technology over a period, the parameter involved in queues characteristics cannot be considered as constant, here it should be recognized that the investigator has considerable a priori knowledge about the variations in these parameters. Highlighting the point that the basic queue distribution can be updated in respect of prior variations in its mean, the present study deals with the analysis of the Sensitive/Robust character of (M\M\1): (∞/FCFS) queue system model when traffic intensity is considered as a random variable. Cost Benefit Analysis is also present in the corresponding situation.

Keywords

Queue system, Traffic intensity, Robustness, Prior and Posterior distribution, Compound distribution