The paper discusses several criteria by which locational alternatives for public facilities should be evaluated, and suggests metrics for quantifying these criteria in terms of the decision variables of the models that are often used in applied public-facility-location problems. Subsequently, multiobjective programming is considered as an important tool in locational analysis, and several applications of vector optimization techniques in that context are demonstrated.
Get full access to this article
View all access options for this article.
References
1.
BeckR G, 1973“Economic class and access to physician services under public medical care insurance”International Journal of Health Services3341–355
2.
BelensonS MKapurK C, 1973“An algorithm for solving multi-criterion linear programming problems with examples”Operational Research Quarterly2465–77
BigmanDReVelleC, 1978“The theory of welfare considerations in public facility location problems”Geographical Analysis10229–240
5.
CharnesACooperW W, 1961Management Models and Industrial Applications of Linear Programming (John Wiley, New York)
6.
ChurchRReVelleC, 1974“The maximal covering location problem”Papers of the Regional Science Association32101–118
7.
ChurchRReVelleC, 1976“Theoretical and computational links between the p-median and the maximal covering location problems”Geographical Analysis8406–415
8.
CohonJ LMarksD H, 1973“Multiobjective screening models and water resource investment”Water Resources Research9826–836
9.
CohonJ LMarksD H, 1975“A review and evaluation of multiobjective programming techniques”Water Resources Research11208–220
10.
GeoffrionA M, 1967“Solving bicriterion mathematical programs”Operations Research1539–54
11.
GishO, 1973“Resource allocation, equality of access, and health”International Journal of Health Services3399–412
12.
HaimesY YHallW A, 1973“Multi-objectives in water resources system analysis: The surrogate worth trade-off method”Water Resources Research10615–624
13.
HakimiS, 1964“Optimum locations of switching centers and the absolute centers and median of a graph”Operations Research12450–461
14.
HakimiS, 1965“Optimum distribution of switching centers in a communications network and some related graph theoretic problems”Operations Research13462–476
15.
KapurK C, 1970“Mathematical models of optimization for multi-objective transportation systems”Socio-Economic Planning Sciences4451–467
16.
KuhnHTuckerA, 1951“Nonlinear programming” in Proceedings, Second Berkeley Symposium on Mathematical Statistics and Probability Ed. NeymanJ (University of California Press, Berkeley, Calif.) pp 481–492
RoyB, 1971“Problems and methods with multiple objective functions”Mathematical Programming1239–266
23.
SalkeverD S, 1975“Economic class and differential access to care: Comparisons among health care systems”International Journal of Health Services5373–393
24.
ToregasCReVelleC, 1972“Location under time or distance constraints”Papers of the Regional Science Association28133–142
25.
ToregasCSwainRReVelleCBergmanL, 1971“The location of emergency service facilities”Operations Research191363–1377
26.
WeissbrodB A, 1968“Income redistribution effects and cost—benefit analysis” in Problems in Public Expenditure Analysis Ed. ChaseS B (Brookings Institution, Washington, DC) pp 221–246
