Inequality measures and equitable approaches to location problems

European Journal of Operational Research

Volumn 122, Issue 2, 2000, Pages 374-391

  Ogryczak, Wlodzimierz ^a  

^a UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTION OF GOODS; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; VALUE ENGINEERING;

CLIENT SATISFACTION; EQUITABLE EFFICIENCY;

OPERATIONS RESEARCH;

EID: 0033873584     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(99)00240-4     Document Type: Article

References (26)

1. Allison P.D. Measures of inequality. American Sociological Review. 43:1978;865-880.
2. Current J., Min H., Schilling D. Multiobjective analysis of facility location decisions. European Journal of Operational Research. 49:1990;295-307.
3. Erkut E. Inequality measures for location problems. Location Science. 1:1993;199-217.
4. Francis R.L., McGinnis L.F., White J.A. Facility Layout and Location: An Analytical Approach. 1992;Prentice-Hall, Englewood Cliffs, NJ.
5. Halpern J. Finding minimal center-median convex combination (cent-dian) of a graph. Management Science. 24:1978;534-544.
6. Kendall M.G., Stuart A. The Advanced Theory of Statistics, Volume 1: Distribution Theory. 1958;Griffin, London.
7. Kostreva M.M., Ogryczak W. Equitable approaches to location problems. Thill J.-C. Spatial Multicriteria Decision Making and Analysis: A Geographic Information Sciences Approach. 1999;103-126 Ashgate, Brookfield.
8. Kostreva, M.M., Ogryczak, W., 1999a. Linear optimization with multiple equitable criteria. RAIRO Recherche Opérationnelle 33, in print.
9. Labbé M., Peeters D., Thisse J.-F. Location on networks. Ball M.O., Magnanti T.L., Monma C.L., Nemhauser G.L. Handbook in Operations Research and Management Science: Network Routing. 1996;551-624 North-Holland, Amsterdam.
10. Love R.F., Morris J.G., Wesolowsky G.O. Facilities Location: Models & Methods. 1988;North-Holland, New York.
11. Mandell M.B. Modelling effectiveness-equity trade-offs in public service delivery systems. Management Science. 37:1991;467-482.
12. Marsh M.T., Schilling D.A. Equity measurement in facility location analysis: A review and framework. European Journal of Operational Research. 74:1994;1-17.
13. Marshall A.W., Olkin I. Inequalities: Theory of Majorization and Its Applications. 1979;Academic Press, New York.
14. Mirchandani P.B., Francis R.L. Discrete Location Theory. 1990;Wiley, New York.
15. Morrill R.L., Symons J. Efficiency and equity aspects of optimum location. Geographical Analysis. 9:1977;215-225.
16. Mulligan G.F. Equity measures and facility location. Papers in Regional Science. 70:1991;345-365.
17. Ogryczak W. On the lexicographic minimax approach to location problems. European Journal of Operational Research. 100:1997;566-585.
18. Ogryczak W. On cent-dians of general networks. Location Science. 5:1997a;15-28.
19. Ogryczak, W., 1999. On the distribution approach to location problems. Computers and Industrial Engineering, in print.
20. Schutz R.R. On the measurement of income inequality. American Economic Review. 41:1951;107-122.
21. Sen A. On Economic Inequality. 1973;Clarendon Press, Oxford.
22. Steuer R.E. Multiple Criteria Optimization - Theory, Computation & Applications. 1986;Wiley, New York.
23. Vincke Ph. Multicriteria Decision-Aid. 1992;Wiley, New York.
24. Wierzbicki A.P. A mathematical basis for satisficing decision making. Mathematical Modelling. 3:1982;391-405.
25. Yager R.R. On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transactions on Systems, Man and Cybernetics. 18:1988;183-190.
26. Young H.P. Equity in Theory and Practice. 1994;Princeton University Press, Princeton, NJ.