State-Dependent System Residence times for time Shared Queues

1 September 1971

journal article
Published by Institute for Operations Research and the Management Sciences (INFORMS) in Management Science

Vol. 18 (1) , 1-6
https://doi.org/10.1287/mnsc.18.1.1

Abstract

In this paper we obtain the Laplace-Stieltjes transform of the time an arriving customer spends in an FB_N queueing system until completion of service at the kth level (1 ≦ k ≦ N) given that at least k levels of service are required. The results are conditioned upon the state of the system at the time of arrival of the customer.

Keywords

QUEUEING
TIME AN ARRIVING
SYSTEM RESIDENCE
TIME SHARED
KTH LEVEL
LAPLACE STIELTJES
STATE DEPENDENT
STIELTJES TRANSFORM
CUSTOMER SPENDS
DEPENDENT SYSTEM

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