Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2015
  • Volume: 7
  • Issue: 2

The study of serial channels connected to non-serial channels with feedback and balking in serial channels and reneging in both types of channels

  • Author:
  • Satyabir Singh1, Man Singh2, Gulshan Taneja3
  • Total Page Count: 12
  • Page Number: 407 to 418

1Assoc. Prof., R.K.S.D (P.G) College, Kaithal-136027, Haryana, India, satyabirsinghmehla@gmail.com, Mob. 0091-9416311354

2Prof. of Mathematics (Retd.), Deptt. of Mathematics & Statistics, CCS, Haryana Agricultural University, Hisar-125004, (Haryana), India

3Professor, Deptt. of Mathematics, M.D. University, Rohtak, Haryana, India

Online published on 5 December, 2015.

Abstract

A general queuing model having feedback, balking and reneging in serial queuing processes connected with non-serial queuing channels with reneging in random order selection for service has been studied in the present paper. Such models are of common occurrence in the administrative setup. The mean queue length of the model when queue discipline is first come first served is obtained for the model. Numerical results have also been obtained with respect to different types of customer's behaviour. Graphs representing mean queue length w.r.t. arrival rate and service rate variable have been obtained.

Keywords

Steady-State, difference-differential, waiting space, random selection, Poisson arrivals, exponential service, feedback, balking and reneging