Author Type

Graduate Student

Date of Award

1988

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Abstract

We consider the multiserver loss system with Poisson arrivals, and a different service-time distribution for each server. This system is a general case of the Erlang loss system, and hence is referred to as the general Erlang loss system (GELS). We show that when each server has the same mean service time the GELS with ordered entry, unlike the (ordinary) Erlang loss system with ordered entry, is sensitive to the service-time distributions. We also show that the order of selection of servers for the common-mean GELS with ordered entry has an effect on the loss probability of the system. With the aid of the software package MACSYMA, we obtain the exact expressions for the loss probabilities of three special cases of the 2-server GELS with ordered entry. For these special cases we also obtain the optimal order of selection of servers (that which gives least loss probability for the system). The issue of individual versus social optimization for the special cases is also considered here.

Extent

80 p.

Comments

Thesis (M.S.)--Florida Atlantic University, 1988.|Charles E. Schmidt College of Science|Thesis (M.S.)--Florida Atlantic University, 1988.

Identifier

FADT14464

Format

pdf

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