Large region location problems

Litwhiler, Daniel W.; Aly, Adel A.

doi:10.1016/0305-0548(79)90009-1

Cited by 22 publications

(5 citation statements)

References 15 publications

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“…Based on the formulas from several papers (Rodriguez-Chia and Valero-Franco [20], Mwemezi and Huang [15], Katz and Cooper [12] and Litwhiler and Aly [43]), this paper formulates the model as follows:…”

Section: Methodology Implementationmentioning

confidence: 99%

Facility Location Decisions Based on Driving Distances on Spherical Surface

Han¹

2015

AJOR

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Facility location problems are concerned with the location of one or more facilities in a way that optimizes a certain objective such as minimizing transportation cost, providing equitable service to customers, capturing the largest market share, etc. Many facility location decisions involving distance objective functions on Spherical Surface have been approached using algorithmic, metaheuristic algorithms, branch-and-bound algorithm, approximation algorithms, simulation, heuristic techniques, and decomposition method. These approaches are most based on Euclidean distance or Great circle distance functions. However, if the location points are widely separated, the difference between driving distance, Euclidean distance and Great circle distance may be significant and this may lead to significant variations in the locations of the corresponding optimal source points. This paper presents a framework and algorithm to use driving distances on spherical surface and explores its use as a facility location decision tool and helps companies assess the optimal locations of facilities.

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Section: Methodology Implementationmentioning

confidence: 99%

Facility Location Decisions Based on Driving Distances on Spherical Surface

Han¹

2015

AJOR

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“…Then by Eqn. (6) and Eqn. 7, one has Since the objective function of Eqn (3) has the same properties as that of Eqn (2), the Lemma 3.1 indicates that a solution technique for solving unconstrained problem of Eqn.…”

Section: Solution Methodologymentioning

confidence: 99%

Spherical Location Under Restricted Distance

Dhar¹

1986

DSJ

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. This paper deals with the problem of locating a new facility with respect to n given demand points on earth, with upper bounds imposed on distances between the new facility and each demand points. Distances are measured as the length of the shortest arc of great circle. The proposed algorithm makes use of a Lagrangean relaxation in which the distance constraints, which are not satisfied by the associated unconstrained solution, are incorporated in the economic function. Computational results of a limited number of test problems are presented.

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“…Towards the end of this period, Yamani et al (1990) extended work on the spherical Weber problem conducted by Drezner and Wesolowsky (1978), Litwhiler and Aly (1979), using US Air Force aircraft refueling data. This paper built a model of single aircraft mid-air refueling with the objective of selecting refueling locations in order to minimize aircraft fuel consumption.…”

Section: The Cold War Years (1960 To 1990)mentioning

confidence: 99%