Equity measurement in facility location analysis: A review and framework. (English) Zbl 0800.90631


90B85 Continuous location
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[1] Adams, J. S., Inequity in social exchanges, (Berkowitz, L., Advances in Experimental Social Psychology, Vol. 2 (1965), Academic Press: Academic Press New York), 1-45
[2] Alker, H. R.; Russett, B. M., On measuring inequity, Behavioral Science, 9, 207-218 (1964)
[3] Allison, P. D., Measures of inequality, American Sociological Review, 43, 865-880 (1978)
[4] Atkinson, A. B., On the measurement of inequality, Journal of Economic Theory, 2, 244-263 (1970)
[5] Bellak, A. O.; Bates, M. W.; Glasner, D. M., Job evaluation: Its role in the comparable worth debate, Public Personnel Management, 12/4, 418-424 (1983)
[6] Berman, O.; Kaplan, E. H., Equity maximizing facility location schemes, Transportation Science, 24/2, 137-144 (1990) · Zbl 0705.90047
[7] Berne, R.; Stiefel, L., The measurement of Equity in School Finance: Conceptual, Methodological, and Empirical Dimensions (1984), Johns Hopkins University Press: Johns Hopkins University Press Baltimore, MD
[8] Borland, J. J., Marginal cost pricing: Is water different?, (Proceeding of the Water Resource Planning and Management Conference. Proceeding of the Water Resource Planning and Management Conference, Santa Barbara, May 1987 (1987)), 126-137
[9] Brill, E. D.; Liebman, J. C.; ReVelle, C. S., Equity measures for exploring water quality management alternatives, Water Resources Research, 12/3, 845-851 (1976)
[10] Campbell, D. E., Can equity be purchased at the expense of efficiency? An axiomatic inquiry, Journal of Economic Theory, 51, 32-47 (1990) · Zbl 0713.90005
[11] Champernowne, D. C., A comparison of measures of inequality of income distribution, The Economic Journal, 84, 787-815 (1974)
[12] Coulter, P. B., Measuring the inequity of urban public services: A methodological discussion with applications, Policy Studies Journal, 8, 683-698 (1980)
[13] Dalton, H., The measurement of inequity of incomes, The Economic Journal, 30, 348-361 (1920)
[14] Dasgupta, P.; Sen, A.; Starrett, D., Notes on the measurement of inequality, Journal of Economic Theory, 6, 180-187 (1973)
[15] Embar, M., Equity in social sciences, (Kasperson, R. E., Equity Issues in Radioactive Waste Management (1983), Oelschlager, Gunn & Hain: Oelschlager, Gunn & Hain Cambridge, MA), 3-23
[16] Erkut, E., Inequality measures for location problems, University of Alberta Research Report No. 91-2 (1992), September 1992
[17] Erkut, E.; Neuman, S., A multiobjective model for location of undesirable facilities, (Working Paper (1990), Faculty of Business, University of Alberta: Faculty of Business, University of Alberta Edmonton, Alta., Canada) · Zbl 0781.90059
[18] Festinger, L. A., A theory of social comparison processes, Human Relations, 7, 117-140 (1954)
[19] Fishburn, P. C.; Sarin, R. K., Dispersive equity and social risk, Management Science, 37/7, 751-769 (1991) · Zbl 0736.90024
[20] Fotheringham, A. S.; O’Kelly, M. E., Spatial Interaction Models: Formulations and Applications (1989), Kluwer Academic Publishers: Kluwer Academic Publishers Boston, MA
[21] Gaile, G. L., Measures of spatial equality, (Gaille, G. L.; Willmott, C. J., Spatial Statistics and Models (1984), Reidel: Reidel Dordrecht), 223-233
[22] Gini, C., Variabilita e Mutabilita (1912), Bologna
[23] Gopalan, R.; Batta, R.; Karwan, M. H., The equity constrained shortest path problem, Computers & Operations Research, 17, 3, 297-307 (1990) · Zbl 0695.90099
[24] Gopalan, R.; Kolluri, K. S.; Batta, R.; Karwan, M. H., Modeling equity in the transportation of hazardous materials, Operations Research, 38, 961-973 (1990) · Zbl 0723.90017
[25] Hakimi, S. L., Optimal distribution of switching centers in a communications network and some related graph theoretic problem, Operations Research, 13, 462-475 (1965) · Zbl 0135.20501
[26] Harris, R. J., Pinning down the equity formula, (Messick, D. M.; Cook, K. S., Equity Theory (1983), Praeger: Praeger New York), 207-241
[27] Heiner, K.; Wallace, W. A.; Young, K., A resource allocation and evaluation model for providing services to the mentally retarded, Management Science, 27, 7, 769-784 (1981)
[28] Hodgart, R. L., Optimizing access to public services: A review of problems, models and methods of locating central facilities, Progress in Human Geography, 2, 1, 17-48 (1980)
[29] Hoover, E., Interstate redistribution of population, Journal of Economic History, 1, 199-205 (1941)
[30] (Kasperson, R. E., Equity Issues in Radioactive Waste Management (1983), Oelschlager, Gunn & Hain: Oelschlager, Gunn & Hain Cambridge, MA)
[31] Keeney, R. L., Equity and public risk, Operations Research, 28, 3, 527-534 (1980)
[32] Keeney, R. L., Utility functions for equity and publiic risk, Management Science, 26, 4, 345-353 (1980) · Zbl 0451.90015
[33] Kolm, S.-C., Unequal inequalities, Journal of Economic Theory, 12, 416-442 (1976) · Zbl 0396.90027
[34] Lindner-Dutton, L.; Batta, R.; Karwan, M. H., Equitable sequencing of a given set of hazardous materials shipments, Transportation Science, 25, 2, 124-137 (1983)
[35] Maimon, O., The Lorenz measure in locational decisions on trees, (Proceedings of ISOLDE III (1983)) · Zbl 0662.90026
[36] Maimon, O., The variance equity measure in locational decision theory, Annals of Operations Research, 6, 147-160 (1986)
[37] Maimon, O.; Kincaid, R. K., Location of a point that minimizes the variance equity measure on triangular graphs, (Proceedings of ISOLDE IV (1987))
[38] Mandell, M. B., Modelling effectiveness — Equity trade-offs in public service delivery systems, Management Science, 37, 7, 467-482 (1991)
[39] Marsh, M.; Schilling, D., A comparison of equity measures in facility siting decisions, (Proceedings of the First International Decision Sciences Institute Conference (1991)), 244-247, Summer, 1991
[40] Marsh, M.; Schilling, D., Foundations of equity measurement in facility location analysis, (ORSA/TIMS National Conference. ORSA/TIMS National Conference, Fall 1992 (1992)), presented at
[41] Mayhew, L. D.; Leonardi, G., Equity, efficiency, and accessibility in urban and regional health-care systems, Environment and Planning A, 14, 1479-1507 (1982)
[42] McAllister, D. M., Equity and efficiency in public facility location, Geographical Analysis, 8, 47-63 (1976)
[43] Messick, D. M.; Cook, K. S., Equity Theory: Physiological and Sociological Perspectives (1983), Preager: Preager New York
[44] Morrill, R. L.; Symons, J., Efficiency and equity aspects of optimum location, Geographical Analysis, 9, 216-225 (1977)
[45] Mulligan, G. F., Equality measures and facility location, Regional Science, 7, 4, 548-561 (1991)
[46] Mumphreys, A. J.; Seley, J. E.; Wolpert, J., A decision model for locating controversial facilities, Journal of the American Institute of Planners, XXXVII, 6, 397-402 (1971)
[47] Nacoste, R. W., The taint of affirmative action, Social Science, 71, 130-134 (1986)
[48] Pfeffer, J.; Langton, N., Wage inequality and the organization of work, Administrative Science Quaterly, 33, 4, 588-606 (1988)
[49] Pigou, A. C., Wealth and Welfare (1912), Macmillan: Macmillan London
[50] Rae, D., Equalities (1981), Harvard University Press: Harvard University Press Boston, MA
[51] Ratick, S. J.; White, A. L., A risk-sharing model for locating noxious facilities, Environment and Planning B, 15, 165-179 (1988)
[52] Rawls, J., A Theory of Justice (1971), Harvard University Press: Harvard University Press Cambridge, MA
[53] Richard, D.; Beguin, H.; Peeters, D., The location of fire stations in a rural environment: A case study, Environment and Planning A, 22, 39-52 (1990)
[54] Rothchild, M.; Stiglitz, J. E., Some further results on the measurement of inequality, Journal of Economic Theory, 6, 188-204 (1973)
[55] Sampath, R. K., Measures of managerial performance of irrigation systems, Irrigation and Power, 45, 4, 93-111 (1989)
[56] Savas, E. S., On equity in providing public services, Management Science, 24, 3, 800-808 (1978)
[57] Schutz, R. R., On the measurement of income inequality, American Economic Review, 41, 107-122 (1951)
[58] Segall, R. S., Some nonlinear optimization modelling for planning objectives of large market-oriented systems: with an application to real health data, Applications in Mathematical Modelling, 13, 203-214 (1989) · Zbl 0683.90041
[59] Sen, A., On Economic Inequality (1973), Clarendon Press: Clarendon Press Oxford
[60] Silver, M., Foundations of Economic Justice (1989), Basil Blackwell: Basil Blackwell New York
[61] Theil, H., Economics and Information Theory (1967), Rand McNally: Rand McNally Chicago, IL
[62] Walster, E.; Berscheid, E.; Walster, G. W., New directions in equity research, Journal of Personality and Social Psychology, 25, 151-176 (1973)
[63] White, A. L.; Ratick, S. J., Risk, compensation, and regional equity in locating hazardous facilities, Papers of the Regional Science Association, 67, 29-42 (1989)
[64] Winfield, R. D., The Just Economy (1988), Routledge, Chapman & Hall: Routledge, Chapman & Hall New York
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