A Single Server Poisson Input Queue with a Second Optional Channel

  • Authors:
  • J. Medhi

  • Affiliations:
  • Institute of Advanced Study in Science & Technology, Guwahati, India medhis1@sancharnet.in

  • Venue:
  • Queueing Systems: Theory and Applications
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

Consider an M/G/1 queue such that over and above the first ‘essential service’ having a general service time distribution, a unit may need a second ‘optional service’ with another independent general service time. A unit may depart from the system either after the first essential service with probability (1−r) or at the end of the first service may immediately go for a second service with probability r (0⩽r⩽1). This is a generalization of a recent paper considered by Madan [5].