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Technical Note—The Optimal Estimation of the Expected Number in aM/D/∞ Queueing System

W. K. Grassmann

Operations Research · 1981 · Volume 29 · Issue 6

DOI: 10.1287/opre.29.6.1208

Abstract

This paper shows that in the M / D /∞ queueing system with service time S , the optimal way to estimate the expected number in the system is by sampling the system at time 0, S , 2 S , …, kS . In this way, the best unbiased estimate from a sampling interval of length T = kS can be obtained.

Keywords

701 estimation in the M/D/∞ queueing system, 767 estimation of the expected number in queues

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