Open AccessCommunication to the Editor—An Equilibrium Property of Finite-Population Queues
Author(s) -
Paul J. Schweitzer
Publication year - 1968
Publication title -
management science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 4.954
H-Index - 255
eISSN - 1526-5501
pISSN - 0025-1909
DOI - 10.1287/mnsc.14.7.508
Subject(s) - generalization , queueing theory , queue , property (philosophy) , mathematics , mathematical economics , population , discrete mathematics , computer science , statistics , mathematical analysis , demography , computer network , sociology , philosophy , epistemology
The purpose of this note is to extend, by means of a somewhat simpler derivation, a result of Sherbrooke [Sherbrooke, C. C. 1966. Generalization of a queueing theorem of palm to finite populations. Management Sci. 12(11, July) 907-908.] to the case of arbitrary arrival distributions, arbitrary in the sense that customers are distinguishable and may have different density functions of holding time and interarrival time.