Locational Decisions on Stochastic Networks

Abstract

Geographical AnalysisVolume 12, Issue 2 p. 172-183 Free Access Locational Decisions on Stochastic Networks Pitu B. Mirchandani, Pitu B. Mirchandani Pitu B. Mirchandani is assistant professor of electrical and systems engineering, Rensselaer Polytechnic Institute. This work was supported in part by the U.S. Department of Transportation, Contract No. DOT-RC-82016.Search for more papers by this author Pitu B. Mirchandani, Pitu B. Mirchandani Pitu B. Mirchandani is assistant professor of electrical and systems engineering, Rensselaer Polytechnic Institute. This work was supported in part by the U.S. Department of Transportation, Contract No. DOT-RC-82016.Search for more papers by this author First published: April 1980 https://doi.org/10.1111/j.1538-4632.1980.tb00026.xCitations: 33 This work was supported in part by the U.S. Department of Transportation, Contract No. DOT-RC-82016. Pitu B. Mirchandani is assistant professor of electrical and systems engineering, Rensselaer Polytechnic Institute. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat LITERATURE CITED 1 Berman, O. “Dynamic Positioning of Mobil Servers on Networks.” Ph.D. dissertation, MIT, Operations Research Center, 1977. 2 Cornuejols, G., M. L. Fisher, and G. L. Nemhauser. “Location of Bank Accounts to Optimize Float: An Analytic Study of Exact and Approximate Algorithms.” Management Science, 23(1977), 789– 810. 3 Erlenkotter, D. “A Dual-Based Procedure for Uncapacitated Facility Location.” Operations Research, 26 (1978), 992– 1009. 4 Garfinkel, R. S., A. W. Neebe, and M. R. Rao. “An Algorithm for the m-Median Plant Location Problem.” Transportation Science, 8 (1974), 217– 36. 5 Hakimi, S. L. “Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph.” Operations Research, 12 (1964), 450– 59. 6 Hakimi, S. L., and S. N. Maheshwari. “Optimum Locations of Centers in Networks.” Operations Research, 20 (1972), 967– 73. 7 Handler, G. Y., and P. B. Mirchandani. Location on Networks: Theory and Algorithms. Cambridge, Mass.: MIT Press, 1979. 8 Howard, R. A. Dynamic Programming and Markov Processes. Cambridge, Mass.: MIT Press, 1960. 9 Jarvis, J. P. “Optimization in Stochastic Service Systems with Distinguishable Servers.” Cambridge, Mass.: Operations Research Center, MIT, IRP-TR-19–75, 1975. 10 Kariv, O., and S. L. Hakimi. “An Algorithmic Approach to Network Location Problems, II: The p-Medians.” SIAM J. Appl. Math., 37 (1979), 539– 60. 11 Khumawala, B. M. “Branch and Bound Algorithms for Locating Emergency Service Facilities.” Institute Paper 355, Krannert Graduate School of Industrial Administration, Purdue University, 1972. 12 Khumawala, B. M. “An Efficient Branch and Bound Alrorithm for the Warehouse Location Problem.” Management Science, 18 (1972), B718– 31. 13 Larson, R. C. “Approximating the Performance of Urban Emergency Service Systems.” Operations Research, 23 (1975), 845– 68. 14 Larson, R. C. “A Hypercube Queuing Model for Facility Location and Redistricting in Urban Emergency Services.” Computers and Operations Research, 1 (1974) 67– 95. 15 Levy, J. “An Extended Theorem for Location on a Network.” Operational Research Quarterly, 18 (1967), 433– 42. 16 Mirchandani, P. B. “Optimal Location of Public Service Facilities on a Transportation Network.” Proceedings of IEEE 1976 International Conference on Cybernetics and Society, November 1976. 17 Mirchandani, P. B., and A R. Odoni. “Location of Medians on Stochastic Networks.” Transportation Science, 13 (1979), 85– 97. 18 Mirchandani, P. B., A. M. Silva, and N. G. Visocki. “Optimal Location on a Simple Network with Queues.” Working Paper, Electrical and Systems Engineering Department, Rensselaer Polytechnic Institute, 1976. 19 Narula, S. C., U. I. Ogbu, and H. M. Samuelsson. “An Algorithm for the p-Median Problem.” Operations Research, 25 (1977), 709– 12. 20 Raiffa, H. Decision Analysis. Reading, Mass.: Addison-Wesley, 1968. 21 Schrage, L. “Implicit Representation of Variable Upper Bounds in Linear Programming.” Mathematical Programming Study, 4 (1975), 118– 32. 22 Wendell, R. E., and A. P. Hurter. “Optimal Locations on a Network.” Transportation Science, 7 (1973), 18– 33. Citing Literature Volume12, Issue2April 1980Pages 172-183 ReferencesRelatedInformation