Stochastic transportation-inventory network design problem

Operations Research

Volumn 53, Issue 1, 2005, Pages 48-60

  Shu, Jia ^a   Teo, Chung Piaw ^a   Shen, Zuo Jun Max ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b DEPARTMENT OF INDUSTRIAL ENGINEERING AND OPERATIONS RESEARCH   (United States)

Author keywords

Facilities equipment planning: stochastic; Inventory production: uncertainty, stochastic; Programming: nonlinear

Indexed keywords

FACILITIES/EQUIPMENT PLANNING; INVENTORY/PRODUCTION; NONLINEAR; STOCHASTIC; UNCERTAINTY;

COSTS; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; STOCHASTIC PROGRAMMING; TRANSPORTATION;

INVENTORY CONTROL;

EID: 14644433042     PISSN: 0030364X     EISSN: None     Source Type: Journal    
DOI: 10.1287/opre.1040.0140     Document Type: Article

References (26)

1. Barahona, F., D. Jensen. 1998. Plant location with minimal inventory. Math. Programming 83 101-111.
2. Chakravarty, A. K., J. B. Orlin, U. G. Rothblum. 1985. Consecutive optimizers for a partitioning problem with applications to optimal inventory groupings for joint replenishment. Oper. Res. 33 820-834.
3. Chopra, S., P. Meindl. 2001. Supply Chain Management: Strategy, Planning and Operation. Pearson Prentice Hall, Upper Saddle River, NJ.
4. Clarkson, K. L., P. W. Shor. 1989. Applications of random sampling in computational geometry. II. Discrete Comput. Geometry 4(5) 387-421.
5. Current, J., M. S. Daskin, D. Schilling. 2002. Discrete network location models. Z. Drezner, H. Hamacher, eds. Facility Location Theory: Applications and Methods, Chap. 3. Springer-Verlag, Berlin, Germany, 81-118.
6. Daskin, M. S. 1995. Network and Discrete Location: Models, Algorithms, and Applications. Wiley-Interscience, New York.
7. Daskin, M. S., Collette R. Coullard, Z. J. Max Shen. 2002. An inventory-location model: Formulation, solution algorithm and computational results. Annals Oper. Res. 110 83-106.
8. Drezner, Z., ed. 1995. Facility Location: A Survey of Applications and Methods. Springer, New York.
9. Eppen, G. 1979. Effects on centralization on expected costs in a multi-location newsboy problem. Management Sci. 25(5) 498-501.
10. Erlebacher, S. J., R. D. Meller. 2000. The interaction of location and inventory in designing distribution systems. IIE Trans. 32 155-166.
11. Geoffrion, A. M., R. Power. 1995. Twenty years of strategic distribution system design: An evolutionary perspective. Interfaces 25(5) 105-127.
12. Geunes, J., Z. J. Shen, H. E. Romeijn. 2004. Economic ordering decisions with market choice flexibility. Naval Res. Logist. 51(1) 117-136.
13. Graves, S. C., A. H. G. Rinnooy Kan, P. H. Zipkin. 1993. Logistics of Production and Inventory. Elsevier Science Publishers, Amsterdam, The Netherlands.
14. Grötschel, M., L. Lovasz, A. Schrijver. 1981. The ellipsoid method and its consequences in combinatorial optimization. Combinatorica 1 169-197.
15. Iwata, S., L. Fleischer, S. Fujishige. 2001. A combinatorial, strongly polynomial-time algorithm for minimizing submodular functions. J. ACM 48 761-777.
16. Mirchandani, P. B., R. L. Francis. 1990. Discrete Location Theory. John Wiley and Sons, New York.
17. Nahmias, S. 1997. Production and Operations Management, 3rd ed. Irwin, Chicago, IL.
18. Onn, S., L. Schulman. 2001. The vector partition problems for convex objective functions. Math. Oper. Res. 26 583-590.
19. Rado, R. 1942. A theorem on independence relations. Quart. J. Math. Oxford 213 83-89.
20. Sauer, N. 1972. On the density of families of sets. J. Combinatorial Theory Series A 1 145-1472.
21. Schrijver, A. 2000. A combinatorial algorithm minimizing submodular functions in strongly polynomial time. J. Combinatorial Theory, Series B 80 346-355.
22. Shen, Z. J. Max. 2000. Approximation algorithms for various supply chain problems. Ph.D. thesis, Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, IL.
23. Shen, Z. J. Max, C. Coullard, M. S. Daskin. 2003. A joint location-inventory model. Transportation Sci. 37 40-55.
24. Teo, C. P., J. H. Ou, K. H. Goh. 2001. Impact on inventory costs with consolidation of distribution centers. IIE Trans. 33(2) 99-110.
25. Vapnik, V. N., A. Ya. Chervonenkis. 1971. On the uniform convergence of relative frequencies of events to their probabilities. Theory Probab. Appl. 16 264-280.
26. Zipkin, P. H. 1997. Foundations of Inventory Management. Irwin, Burr Ridge, IL.