The Remaining Busy Period of a Finite Queue

Terrell J. Harris
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Terrell J. Harris: Caywood-Schiller, Associates, Chicago, Illinois

Operations Research, 1971, vol. 19, issue 1, 219-223

Abstract: In the M / G /1/ N queuing system where no more than N i = 0, 1, …, N as the time spent in transition from state i to state 0, i.e., until the server becomes idle for the first time. The purpose of this paper is to derive the Laplace-Stieltjes transform of the distribution of this time and the generating function of the number of customers served in this time.

Date: 1971
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