On the time-dependent occupancy and backlog distributions for the GI/G/ queue Academic Article uri icon

abstract

  • We consider an infinite server queueing system. An examination of sample path dynamics allows a straightforward development of integral equations having solutions that give time-dependent occupancy (number of customers) and backlog (unfinished work) distributions (conditioned on the time of the first arrival) for the GI/G/ queue. These integral equations are amenable to numerical evaluation and can be generalized to characterize GI X /G/ queue. Two examples are given to illustrate the results.

published proceedings

  • Journal of Applied Probability

author list (cited authors)

  • Ayhan, H., Limon-Robles, J., & Wortman, M. A.

citation count

  • 2

complete list of authors

  • Ayhan, H||Limon-Robles, J||Wortman, MA

publication date

  • January 1999