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- Title
HOW NEARLY DO ARRIVING CUSTOMERS SEE TIME-AVERAGE BEHAVIOR?
- Authors
Peköz, Erol A.; Ross, Sheldon M.; Seshadri, Sridhar
- Abstract
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 time- and 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.
- Subjects
POISSON processes; POINT processes; STOCHASTIC processes; DISTRIBUTION (Probability theory); PROBABILITY theory; MATHEMATICAL inequalities; INFINITE processes; MATHEMATICAL analysis; MATHEMATICS
- Publication
Journal of Applied Probability, 2008, Vol 45, Issue 4, p963
- ISSN
0021-9002
- Publication type
Article
- DOI
10.1239/jap/1231340227