# Optimal Server Location on a Network Operating as an M-G-1 Queue

Article Abstract:

Hakimi (1964, 1965) demonstrated that finding the optimal location of a server on a network was a simple finite problem relating to travel distance between the facility and its users. However, Hakimi assumed a one-median system with a given proportion of user demand coming from each node. In practice, this assumption is unworkable for certain situations where user arrival and service demand, as well as spatial distribution of users, must also be considered. Two models are presented for finding the optimal server location taking into cosideration the distribution of user service demands. A mobile server is used which is dispatched to demands as they occur. Tables and diagrams illustrate the examples.

Publication Name: Operations Research

Subject: Petroleum, energy and mining industries

ISSN: 0030-364X

Year: 1985

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# Facility Locations with the Manhattan Metric in the Presence of Barriers to Travel

Article Abstract:

The paper considers the optimal location of facilities in the plane. It assumes that all travel occurs according to the Manhattan metric in the presence of impenetrable barriers to travel. Facility users are distributed over a finite set of demand points, with weight of each point proportional to its demand intensity. Each demand point is assigned to the closest facility. The objective is to locate facilities so as to minimize average Manhattan travel distance to a random demand. It is shown that an optimal set of facility locations can be drawn from a finite set of coordinate points, all of which are easy to determine. Several diagrams and tree structures illustrate the presentation.

Publication Name: Operations Research

Subject: Petroleum, energy and mining industries

ISSN: 0030-364X

Year: 1983

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# Optimal Locations for a Class of Nonlinear, Single-Facility Location Problems on a Network

Article Abstract:

A class of single-facility location problems on an arbitrary network is investigated. Necessary and sufficient conditions are obtained for characterizing locally optimal locations with respect to a certain nonlinear objective function. This approach produces a number of new results for locating a facility on an arbitrary network, and in addition it unifies several known results for the special case of tree networks. It also suggusts algorithmic procedures for obtaining such optimal locations.

Publication Name: Operations Research

Subject: Petroleum, energy and mining industries

ISSN: 0030-364X

Year: 1983

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