How Nearly Do Arriving Customers

نویسندگان

  • SHELDON M. ROSS
  • SRIDHAR SESHADRI
چکیده

Customers arriving at a queue do not usually see its time-average behavior unless arrivals occur according to a Poisson process. In this article we study how nearly customers see time-average behavior. We give total variation error bounds for comparing the distance between the timeand customer-average distributions of a queueing system in terms of properties of the interarrival distribution. Some refinements are given for special cases and numerical computations are used to demonstrate the performance of the inequalities.

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تاریخ انتشار 2008