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Dynamic versions of set covering type public facility location problems. (English) Zbl 0491.90038


MSC:

90B05 Inventory, storage, reservoirs
65K05 Numerical mathematical programming methods
90B50 Management decision making, including multiple objectives

Software:

LINDO
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Full Text: DOI

References:

[1] Church, R.; Revelle, C., The maximal covering location problem, Papers Regional Sci. Asso., 32, 101-118 (1974)
[2] Erlenkotter, D., On the choice of models for public facility location, (Working Paper 80-47 (1980), International Institute for Applied Systems Analysis: International Institute for Applied Systems Analysis A-2361 Laxenburg, Austria)
[3] Erlenkotter, D., A dual-based procedure for dynamic facility location, (Working Paper No. 305 (1980), Western Management Science Institute, University of California: Western Management Science Institute, University of California Los Angeles) · Zbl 0422.90053
[4] Gunawardane, G.; Hoff, S.; Schrage, L. E., Identification of special structure constraints in linear programs, Math. Programming, 21, 1, 90-97 (1981) · Zbl 0467.90045
[5] Kuehn, A.; Hamburger, M., A heuristic program for locating warehouses, Management Sci., 9, 4, 643-666 (1963)
[6] Revelle, C.; Swain, R. W., Central facilities location, Geograph. Anal., 2, 30-42 (1970)
[7] Revelle, C.; Marks, D.; Liebman, J. C., An analysis of private and public location models, Management Sci., 16, 692-707 (1970) · Zbl 0195.21901
[8] Revelle, C.; Toregas, C.; Falkson, L., Applications of the location set-covering problem, Geograph. Anal., 8, 65-76 (1976)
[9] Roodman, G. M.; Schwarz, L. B., Optimal and heuristic facility phase-out strategies, AIIE Trans., 7, 2, 177-184 (1975)
[10] Roodman, G. M.; Schwarz, L. B., Extension of the multi-period facility phase-out model: New procedures and application to a phase-in/phase-out problem, AIIE Trans., 9, 1, 103-107 (1977)
[11] Sawey, R. M., Computational experience with LINDO and XMP, (Paper presented at the ORSA/TIMS National Meeting. Paper presented at the ORSA/TIMS National Meeting, Houston, TX (1981))
[12] Schilling, D.; Revelle, C.; Cohen, J.; Elzinga, D., Some models for fire protection locational decisions, European J. Operational Res., 5, 1-7 (1980)
[13] Schrage, L. E., (User’s Manual for LINDO (1981), The Scientific Press: The Scientific Press Palo Alto, CA)
[14] Swain, R. W., A parametric decomposition approach for the solution of uncapacitated location problems, Management Sci., 21, 189-198 (1974) · Zbl 0331.90064
[15] Telgen, J., Redundancy and Linear Programs, ((1979), Mathematisch Centrum: Mathematisch Centrum Amsterdam) · Zbl 0474.90052
[16] Toregas, C.; Revelle, C., Binary logic solutions to a class of location problems, Geograph. Anal., 5, 145-155 (1973)
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