Existence theory for spatially competitive network facility location models

Terry Lee Friesz; Roger L. Tobin; Tan Miller

doi:10.1007/BF02097808

Existence theory for spatially competitive network facility location models

Terry Lee Friesz
, Roger L. Tobin
, Tan Miller

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

Models for locating a firm's production facilities while simultaneously determining production levels at these facilities and shipping patterns so as to maximize the firm's profits are presented. In these models, existing firms, are assumed to act in accordance with an appropriate model of spatial equilibrium. A proof of existence of a solution to the combined location-equilibrium problem is provided.

Original language	English (US)
Pages (from-to)	267-276
Number of pages	10
Journal	Annals of Operations Research
Volume	18
Issue number	1
DOIs	https://doi.org/10.1007/BF02097808
State	Published - Dec 1 1989

All Science Journal Classification (ASJC) codes

General Decision Sciences
Management Science and Operations Research

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10.1007/BF02097808

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title = "Existence theory for spatially competitive network facility location models",

abstract = "Models for locating a firm's production facilities while simultaneously determining production levels at these facilities and shipping patterns so as to maximize the firm's profits are presented. In these models, existing firms, are assumed to act in accordance with an appropriate model of spatial equilibrium. A proof of existence of a solution to the combined location-equilibrium problem is provided.",

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T1 - Existence theory for spatially competitive network facility location models

AU - Friesz, Terry Lee

AU - Tobin, Roger L.

AU - Miller, Tan

PY - 1989/12/1

Y1 - 1989/12/1

N2 - Models for locating a firm's production facilities while simultaneously determining production levels at these facilities and shipping patterns so as to maximize the firm's profits are presented. In these models, existing firms, are assumed to act in accordance with an appropriate model of spatial equilibrium. A proof of existence of a solution to the combined location-equilibrium problem is provided.

AB - Models for locating a firm's production facilities while simultaneously determining production levels at these facilities and shipping patterns so as to maximize the firm's profits are presented. In these models, existing firms, are assumed to act in accordance with an appropriate model of spatial equilibrium. A proof of existence of a solution to the combined location-equilibrium problem is provided.

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UR - https://www.scopus.com/pages/publications/0000571587#tab=citedBy

U2 - 10.1007/BF02097808

DO - 10.1007/BF02097808

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VL - 18

SP - 267

EP - 276

JO - Annals of Operations Research

JF - Annals of Operations Research

IS - 1

ER -

Existence theory for spatially competitive network facility location models

Abstract

All Science Journal Classification (ASJC) codes

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