Equivalence relations in the approximations for the M/G /s/s + r queue

Authors:
T Kimura
Affiliations:
Department of Business Administration Hokkaido University, Sapporo 060-0809, Japan
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2000

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Abstract

This paper investigates some equivalence relations among previously established approximations for the steady-state distribution in an M/G/s queue with finite waiting spaces. The focus is on four approximations developed by Hokstad [1], Tijms and van Hoorn [2], Miyazawa [3] and Kimura [4]. These approximations have been obtained by completely different approaches and they have different expressions. Equivalence theorems show conditions under which some of the approximations coincide.