Models and algorithms for distribution problems with uncertain demands

Transportation Science

Volumn 30, Issue 1, 1996, Pages 43-59

  Cheung, Raymond K M ^a   Powell, Warren B ^b  

^a IOWA STATE UNIVERSITY   (United States)

^b Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; INVENTORY CONTROL; MATHEMATICAL MODELS; RANDOM PROCESSES; STORAGE (MATERIALS); WAREHOUSES;

DISTRIBUTION PROBLEMS; UNCERTAIN DEMANDS;

DISTRIBUTION OF GOODS;

EID: 0030085606     PISSN: 00411655     EISSN: None     Source Type: Journal    
DOI: 10.1287/trsc.30.1.43     Document Type: Article

References (22)

1. J. Aronson, "A Survey of Dynamic Network Flows," in Annals of Operations Research, P. Hammer, ed, J. C. Baltzer AG, 1989, pp. 1-66.
2. J. Aronson and B. Chen, "Decision Horizon Results for an Infinite Horizon, Production Planning Network Model," Technical Report 85-or-3, Department of Operations Research and Engineering Management, Southern Methodist University, 1985.
3. J. Aronson and B. Chen, "A Forward Network Simplex Algorithm for Solving Multiperiod Network Flow Problems," Naval Research Logistics Quarterly, 33(3), 445-467 (1986).
4. R. Ballou, Business Logistics Management, Prentice Hall, New York, 1992.
5. R. K.-M. Cheung and W. B. Powell, "An Algorithm for Multistage Dynamic Networks with Random Arc Capacities," Technical Report SOR-92-11, Dept. of Civil Engineering and Operations Research, Princeton University, 1992.
6. S. Graves, A. Rinnooy Kan and P. Zipkin, Logistics of Production and Inventory, North-Holland, New York, 1993.
7. U. S. Karmarkar, "Convex/Stochastic Programming and Multilocation Inventory Problem," Naval Res. Logist. Quart. 26, 1-19 (1979).
8. U. S. Karmarkar, "The Multiperiod Multilocation Inventory Problems," Operations Research 29, 215-228 (1981).
9. U. S. Karmarkar, "The Multilocation Multiperiod Inventory Problem: Bounds and Approximations," Management Science, 33(1), 86-94 (1987).
10. U. S. Karmarkar and N. Patel, "The One-Period, N-Location Distribution Problem," Naval Res. Logist. Quart. 24, 559-575 (1977).
11. D. Klingman and J. Mote, "A Multi-Period Production, Distribution and Inventory Planning Model," Advances in Management Studies 1(2), 56-76 (1982).
12. I. J. Lustig, J. M. Mulvey and T. J. Carpenter, "Formulating two-stage stochastic programs for interior point methods," Operations Research 39, 757-770 (1991).
13. W. B. Powell and R. K.-M. Cheung, "Network Recourse Decomposition Method for Dynamic Networks with Random Arc Capacities," Networks, 369-384 (1994a).
14. W. B. Powell and R. K.-M. Cheung, "Stochastic Programs Over Trees with Random Arc Capacities," Networks, 24, 161-175 (1994b).
15. J. Robeson and R. House, The Distribution Handbook, Free Press, New York, 1981.
16. T. Rockafellar and R. Wets, "Scenarios and Policy Aggregation in Optimization Under Uncertainty," Mathematics of Operations Research 16(1), 119-147 (1991).
17. J. Shapiro, "Mathematical Programming Models and Methods for Production Planning and Scheduling," in S. Graves, A. Rinnooy Kan, and P. Zipkin, eds, Logistics of Production and Inventory, North-Holland, 1993, pp. 371-444.
18. N. Shor, The Methods of Nondifferentiable Optimization and their Applications, Naukova Dumka, Kiev, 1979.
19. S. W. Wallace, "Solving Stochastic Programs with Network Recourse," Networks 16, 295-317 (1986).
20. R. Wets, "Stochastic Programs with Fixed Resources: The Equivalent Deterministic Problem," SIAM Review, 16, 309-339 (1974).
21. R. Wets, "The Aggregation Principle in Scenario Analysis and Stochastic Optimization," in S. Wallace, ed., Algorithms and Model Formulations in Mathematical Programming, Springer-Verlag, Berlin, 1989.
22. W. Zangwill, "A Backlogging Model and a Multi-Echelon Model of a Dynamic Economic Lot Size Production System - a Network Approach," Management Science 15(9), 506-527 (1969).