Optimal location-size of a facility on an plane with interaction effects of distance

Charles S. Tapiero

doi:10.1016/0377-2217(78)90106-6

Optimal location-size of a facility on an plane with interaction effects of distance

Charles S. Tapiero

Finance and Risk Engineering

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

Abstract

A binomial model for the interaction effects of distance is used to obtain the probable demand for a facility located on a plane. Such demand expressed as a function of size, location, population profile and distribution on the plane, is shown (using arguments leading to the central limit theorem) to be normal. Optimization of expected cost criteria is then used to obtain optimal locations under uncertainty. Examples are resolved and the practical implications of the model suggested are drawn.

Original language	English (US)
Pages (from-to)	107-115
Number of pages	9
Journal	European Journal of Operational Research
Volume	2
Issue number	2
DOIs	https://doi.org/10.1016/0377-2217(78)90106-6
State	Published - Mar 1978

ASJC Scopus subject areas

General Computer Science
Modeling and Simulation
Management Science and Operations Research
Information Systems and Management

Access to Document

10.1016/0377-2217(78)90106-6

Cite this

@article{d8aff5ebe8dc4472b2e78bfcc7aaca7b,

title = "Optimal location-size of a facility on an plane with interaction effects of distance",

abstract = "A binomial model for the interaction effects of distance is used to obtain the probable demand for a facility located on a plane. Such demand expressed as a function of size, location, population profile and distribution on the plane, is shown (using arguments leading to the central limit theorem) to be normal. Optimization of expected cost criteria is then used to obtain optimal locations under uncertainty. Examples are resolved and the practical implications of the model suggested are drawn.",

author = "Tapiero, {Charles S.}",

note = "Funding Information: This research was supgo~ted ~n part by a grant from the L. Recanafi Institute for Business Research {\textcopyright} North-Holland Publishing Company European Journal of Opezational Research 2 (1978) 107-115. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "1978",

month = mar,

doi = "10.1016/0377-2217(78)90106-6",

language = "English (US)",

volume = "2",

pages = "107--115",

journal = "European Journal of Operational Research",

issn = "0377-2217",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - Optimal location-size of a facility on an plane with interaction effects of distance

AU - Tapiero, Charles S.

N1 - Funding Information: This research was supgo~ted ~n part by a grant from the L. Recanafi Institute for Business Research © North-Holland Publishing Company European Journal of Opezational Research 2 (1978) 107-115. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1978/3

Y1 - 1978/3

N2 - A binomial model for the interaction effects of distance is used to obtain the probable demand for a facility located on a plane. Such demand expressed as a function of size, location, population profile and distribution on the plane, is shown (using arguments leading to the central limit theorem) to be normal. Optimization of expected cost criteria is then used to obtain optimal locations under uncertainty. Examples are resolved and the practical implications of the model suggested are drawn.

AB - A binomial model for the interaction effects of distance is used to obtain the probable demand for a facility located on a plane. Such demand expressed as a function of size, location, population profile and distribution on the plane, is shown (using arguments leading to the central limit theorem) to be normal. Optimization of expected cost criteria is then used to obtain optimal locations under uncertainty. Examples are resolved and the practical implications of the model suggested are drawn.

UR - http://www.scopus.com/inward/record.url?scp=49349120191&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49349120191&partnerID=8YFLogxK

U2 - 10.1016/0377-2217(78)90106-6

DO - 10.1016/0377-2217(78)90106-6

M3 - Article

AN - SCOPUS:49349120191

SN - 0377-2217

VL - 2

SP - 107

EP - 115

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 2

ER -

Optimal location-size of a facility on an plane with interaction effects of distance

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this