Optimal echelon stock policies for multi-stage supply chains in fuzzy environments

International Journal of Production Research

Volumn 52, Issue 11, 2014, Pages 3431-3449

  Chen, Shih Pin ^a   Cheng, Bing Hung ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

echelon stock; fuzzy sets; inventory; supply chain management

Indexed keywords

DECISION MAKING; FUZZY SETS; MEMBERSHIP FUNCTIONS; SUPPLY CHAIN MANAGEMENT;

COMPUTATIONAL RESOLUTION; ECHELON STOCK; EXTENSION PRINCIPLES; FUZZY OPTIMISATION; INVENTORY; LOWER AND UPPER BOUNDS; MANAGERIAL IMPLICATIONS; MATHEMATICAL PROGRAM;

OPTIMIZATION;

EID: 84898009552     PISSN: 00207543     EISSN: 1366588X     Source Type: Journal    
DOI: 10.1080/00207543.2014.885145     Document Type: Article

References (61)

1. Abdul-Jalbar, B., J. Gutiérrez, and J. Sicilia. 2005. "Integer-ratio Policies for Distribution/Inventory Systems." International Journal of Production Economics 93-94: 407-415.
2. Atkins, D., and D. Sun. 1995. "98%-effective Lot Sizing for Series Inventory Systems with Backlogging." Operations Research 43: 335-345.
3. Axsäter, S., and K. Rosling. 1993. "Notes: Installation vs. Echelon Stock Policies for Multilevel Inventory Control." Management Science 39: 1274-1280.
4. Bazaraa, M. S., J. J. Jarvis, and H. D. Sherali. 2010. Linear Programming and Network Flows. 4th ed. Hoboken, NJ: John Wiley & Sons.
5. Bazaraa, M. S., H. D. Sherali, and C. M. Shetty. 2006. Nonlinear Programming: Theory and Algorithms. 3rd ed. New York: Wiley-Interscience.
6. Bellman, R. E., and L. A. Zadeh. 1970. "Decision-making in a Fuzzy Environment." Management Science 17: B-141-B-164.
7. Buckley, J. J. 1988. "Possibilistic Linear Programming with Triangular Fuzzy Numbers." Fuzzy Sets and Systems 26: 135-138.
8. Buckley, J. J., and T. Feuring. 2000. "Evolutionary Algorithm Solution to Fuzzy Problems: Fuzzy Linear Programming." Fuzzy Sets and Systems 109: 35-53.
9. Cachon, G. P. 2003. "Supply Chain Coordination with Contracts." In Handbook of Operations Research and Management Science: Supply Chain Management, edited by S. Graves and T. de Kok. Amsterdam: Elsevier.
10. Cachon, G. P., and P. Zipkin. 1999. "Competitive and Cooperative Inventory Policies in a Two-stage Supply Chain." Management Science 45: 936-953.
11. Chao, X., and S. X. Zhou. 2009. "Optimal Policy for a Multiechelon Inventory System with Batch Ordering and Fixed Replenishment Intervals." Operations Research 57: 377-390.
12. Chen, F. 1998a. "Stationary Policies in Multiechelon Inventory Systems with Deterministic Demand and Backlogging." Operations Research 46: S26-S34.
13. Chen, F. 1998b. "Near-optimal Echelon-stock (R, nQ) Policies in Multistage Serial Systems." Operations Research 46: 592-602.
14. Chen, F. 1999. "Decentralized Supply Chains Subject to Information Delays." Management Science 45: 1076-1090.
15. Chen, F. 2000. "Optimal Policies for Multi-echelon Inventory Problems with Batch Ordering." Operations Research 48: 376-389.
16. Chen, S. P., and Y. H. Ho. 2013. "Optimal Inventory Policy for the Fuzzy Newsboy Problem with Quantity Discounts." Information Sciences 228: 75-89.
17. Chen, I. J., and A. Paulraj. 2004. "Understanding Supply Chain Management: Critical Research and a Theoretical Framework." International Journal of Production Research 42: 131-163.
18. Chen, F., and J. Song. 2001. "Optimal Policies for Multiechelon Inventory Problems with Markov-Modulated Demand." Operations Research 49: 226-234.
19. Chen, F., and Y.-S. Zheng. 1994. "Evaluating Echelon Stock (R, nQ) Policies in Serial Production/Inventory Systems with Stochastic Demand." Management Science 40: 1262-1275.
20. Chen, F., and Y.-S. Zheng. 1998. "Near-optimal Echelon-stock (R, nQ) Policies in Multistage Serial Systems." Operations Research 46: 592-602.
21. Chen, F., Z. Drezner, J. K. Ryan, and D. Simchi-Levi. 2000. "Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information." Management Science 46: 436-443.
22. Chick, S. E., H. Mamani, and D. Simchi-Levi. 2008. "Supply Chain Coordination and Influenza Vaccination." Operations Research 56: 1493-1506.
23. Clark, A. H., and H. Scarf. 1960. "Optimal Policies for a Multi-echelon Inventory Problem." Management Science 6: 475-490.
24. DeCroix, G. 2006. "Optimal Policy for a Multiechelon Inventory System with Remanufacturing." Operations Research 54: 532-543.
25. DeCroix, G., J.-S. Song, and P. Zipkin. 2005. "A Series System with Returns: Stationary Analysis." Operations Research 53: 350-362.
26. Dong, L., and H. Lee. 2003. "Optimal Policies and Approximations for a Serial Multiechelon Inventory System with Time-correlated Demand." Operations Research 51: 969-980.
27. Giannoccaro, I., P. Pontrandolfo, and B. Scozzi. 2003. "A Fuzzy Echelon Approach for Inventory Management in Supply Chains." European Journal of Operational Research 149: 185-196.
28. Graves, S. C., and S. P. Willems. 2005. "Optimizing the Supply Chain Configuration for New Products." Management Science 51: 1165-1180.
29. van Houtum, G. J., A. Scheller-Wolf, and J. Yi. 2007. "Optimal Control of Serial Inventory Systems with Fixed Replenishment Intervals." Operations Research 55: 674-687.
30. Iida, T., and P. Zipkin. 2010. "Competition and Cooperation in a Two-stage Supply Chain with Demand Forecasts." Operations Research 58: 1350-1363.
31. Inuiguchi, M., and J. Ramík. 2000. "Possibilistic Linear Programming: A Brief Review of Fuzzy Mathematical Programming and a Comparison with Stochastic Programming in Portfolio Selection Problem." Fuzzy Sets and Systems 111: 3-28.
32. Klir, G. J., and T. A. Folger. 1992. Fuzzy Sets, Uncertainty, and Information. Englewood Clifs, NJ: Prentice-Hall.
33. Krajewski, L. J., L. P. Ritzman, and M. K. Malhotra. 2009. Operations Management: Processes and Value Chains. 9th ed. Upper Saddle River, NJ: Prentice-Hall.
34. Lawson, D. G., and E. L. Porteus. 2000. "Multistage Inventory Management with Expediting." Operations Research 48: 878-893.
35. Lee, H. L., V. Padmanabhan, and S. Whang. 1997. "The Bullwhip Effect in the Supply Chains." Sloan Management Review 38: 93-102.
36. LINDO Systems Inc. 1999. Lingo User's Guide. Chicago, IL: LINDO Systems Inc.
37. Mizumoto, M., and K. Tanaka. 1979. "Some Properties of Fuzzy Numbers." In Advanced in Fuzzy Set Theory and Applications, edited by M. M. Gupta, R. K. Ragade, and R. R. Yager. Amsterdam: North-Hollan.
38. Muharremoglu, A., and J. N. Tsitsiklis. 2008. "A Single-unit Decomposition Approach to Multiechelon Inventory Systems." Operations Research 56: 1089-1103.
39. Pan, J. C.-H., and M.-F. Yang. 2008. "Integrated Inventory Models with Fuzzy Annual Demand and Fuzzy Production Rate in a Supply Chain." International Journal of Production Research 46: 753-770.
40. Parker, R., and R. Kapuscinski. 2004. "Optimal Policies for a Capacitated Two-echelon Inventory System." Operations Research 52: 739-755.
41. Peidro, D. 2007. "Models for Centralized Supply Chain Planning under Uncertainty: Application to an Automobile Supply Chain." Thesis. Polytechnic University of Valencia, Valencia, Spain.
42. Peidro, D., J. Mula, M. Jiménez, and M. del Botella. 2010. "A Fuzzy Linear Programming Based Approach for Tactical Supply Chain Planning in an Uncertainty Environment." European Journal of Operational Research 205: 65-80.
43. Petrovic, D. 2001. "Simulation of Supply Chain Behaviour and Performance in an Uncertain Environment." International Journal of Production Economics 71: 429-438.
44. Petrovic, D., R. Roy, and R. Petrovic. 1998. "Modelling and Simulation of a Supply Chain in an Uncertain Environment." European Journal of Operational Research 109: 299-309.
45. Petrovic, D., R. Roy, and R. Petrovic. 1999. "Supply Chain Modelling Using Fuzzy Sets." International Journal of Production Economics 59: 443-453.
46. Schwarz, L. 1973. "A Simple Continuous Review Deterministic One-warehouse N-retailer Inventory Problem." Management Science 19: 555-566.
47. Shang, K. H., and J.-S. Song. 2003. "Newsvendor Bounds and Heuristic for Optimal Policies in Serial Supply Chains." Management Science 49: 618-638.
48. Shang, K. H., and J.-S. Song. 2007. "Serial Supply Chains with Economies of Scale: Bounds and Approximations." Operations Research 55: 843-853.
49. Simchi-Levi, D., P. Kaminsky, and E. Simchi-Levi. 2004. Managing the Supply Chain: The Definitive Guide for the Supply Chain Professional. New York: McGraw-Hill.
50. Simchi-Levi, D., P. Kaminsky, and E. Simchi-Levi. 2007. Designing and Managing the Supply Chain: Concepts, Strategies, and Test Studies. 3rd ed. New York: McGraw-Hill.
51. Tersine, J. R. 1994. Principles of Inventory and Materials Management. New York: McGraw-Hill.
52. Turksen, I. B. 1991. "Measurement of Membership Functions and Their Acquisition." Fuzzy Sets and Systems 40: 5-38.
53. Wang, J. T., and Y. F. Shu. 2005. "Fuzzy Decision Modeling for Supply Chain Management." Fuzzy Sets and Systems 150: 107-127.
54. Wang, J. T., and Y. F. Shu. 2007. "A Possibilistic Decision Model for New Product Supply Chain Design." European Journal of Operational Research 177: 1044-1061.
55. Wong, B. K., and V. S. Lai. 2011. "A Survey of the Application of Fuzzy Set Theory in Production and Operations Management: 1998-2009." International Journal of Production Economics 129: 157-168.
56. Xie, Y., D. Petrovic, and K. Burnham. 2006. "A Heuristic Procedure for the Two-level Control of Serial Supply Chains under Fuzzy Customer Demand." International Journal of Production Economics 102: 37-50.
57. Yager, R. R. 1986. "A Characterization of the Extension Principle." Fuzzy Sets and Systems 18: 205-217.
58. Zadeh, L. A. 1965. "Fuzzy Sets." Information and Control 8: 338-353.
59. Zadeh, L. A. 1978. "Fuzzy Sets as a Basis for a Theory of Possibility." Fuzzy Sets and Systems 1: 3-28.
60. Zimmermann, H. J. 2001. Fuzzy Set Theory - And Its Applications. 4th ed. Boston, MA: Kluwer-Nijhoff.
61. Zipkin, P. H. 2000. Foundations of Inventory Management. New York: McGraw-Hill.