Fuzzy linear programming for supply chain planning under uncertainty

International Journal of Information Technology and Decision Making

Volumn 9, Issue 3, 2010, Pages 373-392

  Peidro, David ^a   Mula, Josefa ^a   Poler, Raúl ^a  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

Fuzzy mathematical programming; Fuzzy sets; Supply chain planning; Uncertainty modeling

Indexed keywords

EID: 77952538829     PISSN: 02196220     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219622010003865     Document Type: Article

References (48)

1. C. Harland, J. Zheng, T. Johnsen and R. Lamming, A conceptual model for researching the creation and operation of supply networks, British Journal of Management 15 (2004) 1-21.
2. P. B. Luh, M. Ni, H. X. Chen and L. S. Thakur, Price-based approach for activity coordination in a supply network, IEEE Transactions on Robotics and Automation 19 (2003) 335-346.
3. M. Christopher, Logistics and Supply Chain Management, 2nd edn. (Pitman, London, 1998).
4. R. R. Lummus and R. J. Vokusrka, Defining supply chain management: A historical perspective and practical guidelines, Industrial Management & Data Systems 99 (1999) 11-17.
5. S. Croom, P. Romano and M. Giannakis, Supply chain management: An analytical framework for critical literature review, European Journal of Purchasing & Supply Management 6 (2000) 67-83.
6. M. A. Vonderembse, M. Uppal, S. H. Huang and J. P. Dismukes, Designing supply chains: Towards theory development, International Journal of Production Economics 100 (2006) 223-238.
7. H. Min and G. G. Zhou, Supply chain modeling: Past, present and future, Computers & Industrial Engineering 43 (2002) 231-249.
8. D. M. Lambert and M. C. Cooper, Issues in supply chain management, Industrial Marketing Management 29 (2000) 65-83.
9. G. Guillen, E. Mele, M. J. Bagajewicz, A. Espuna and L. Puigjaner, Multiobjective supply chain design under uncertainty, Chemical Engineering Science 60 (2005) 1535-1553.
10. A. Gupta and C. D.Maranas, Managing demand uncertainty in supply chain planning, Computers & Chemical Engineering 27 (2003) 1219-1227.
11. T. Davis, Effective supply chain management, Sloan Management Review 34 (1993) 35-46.
12. S. Minegishi and D. Thiel, System dynamics modeling and simulation of a particular food supply chain, Simulation Practice and Theory 8 (2000) 321-339.
13. J. Y. Jung, G. Blau, J. F. Pekny, G. V. Reklaitis and D. Eversdyk, A simulation based optimization approach to supply chain management under demand uncertainty, Computers & Chemical Engineering 28 (2004) 2087-2106.
14. R. Bhatnagar and A. S. Sohal, Supply chain competitiveness: Measuring the impact of location factors, uncertainty and manufacturing practices, Technovation 25 (2005) 443-456.
15. D. Peidro, J. Mula, R. l. Poler and F. C. Lario, Quantitative models for supply chain planning under uncertainty: A review, The International Journal of Advanced Manufacturing Technology, Available online (http://dx.doi.org/10.1007/ s00170-008-1715-y) (2008).
16. A. Alonso-Ayuso, L. F. Escudero, A. Garin, M. T. Ortuno and G. Perez, An approach for strategic supply chain planning under uncertainty based on stochastic 0-1 programming, Journal of Global Optimization 26 (2003) 97-124.
17. H. M. S. Lababidi, M. A. Ahmed, I. M. Alatiqi and A. F. Al Enzi, Optimizing the supply chain of a petrochemical company under uncertain operating and economic conditions, Industrial & Engineering Chemistry Research 43 (2004) 63-73.
18. T. Santoso, S. Ahmed, M. Goetschalckx and A. Shapiro, A stochastic programming approach for supply chain network design under uncertainty, European Journal of Operational Research 167 (2005) 96-115.
19. M. S. Sodhi, Managing demand risk in tactical supply chain planning for a global consumer electronics company, Production and Operations Management 14 (2005) 69-79.
20. J. T. Wang and Y. F. Shu, Fuzzy decision modeling for supply chain management, Fuzzy Sets and Systems 150 (2005) 107-127.
21. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338-353.
22. L. A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems 1 (1978) 3-28.
23. D. Dubois and H. Prade, Possibility Theory (New York, London, 1988).
24. Y. Gao, G. Q. Zhang and J. Lu, A fuzzy multi-objective bilevel decision support system, International Journal of Information Technology & Decision Making 8 (2009) 93-108.
25. F. J. Cabrerizo, S. Alonso and E. Herrera-Viedma, A consensus model for group decision making problems with unbalanced fuzzy linguistic information, International Journal of Information Technology & Decision Making 8 (2009) 109-131.
26. U. Cebeci and D. Ruan, A multi-attribute comparison of Turkish quality consultants by fuzzy AHP, International Journal of Information Technology & Decision Making 6 (2007) 191-207.
27. C. F. Huang, T. Zong and Z. F. Chen, Four models to calculate a fuzzy probability distribution with a small sample, International Journal of Information Technology & Decision Making 6 (2007) 611-623.
28. N. S. Thomaidis, N. Nikitakos and C. D. Dounias, The evaluation of information technology projects: A fuzzy multicriteria decision-making approach, International Journal of Information Technology & Decision Making 5 (2006) 89-122.
29. A. Baykasoglu and T. Göicken, A review and classification of fuzzy mathematical programs, Journal of Intelligent & Fuzzy Systems 19 (2008) 205-229.
30. D. Dubois, H. Fargier and P. Fortemps, Fuzzy scheduling: Modelling flexible constraints vs. coping with incomplete knowledge, European Journal of Operational Research 147 (2003) 231-252.
31. P. Vasant, Application of fuzzy linear programming in production planning, Fuzzy Optimization and Decision Making 3 (2003) 229-241.
32. P. M. Vasant, Solving fuzzy linear programming problems with modified s-curve membership function, International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 13 (2005) 97-109.
33. P. M. Vasant, Fuzzy linear programming for decision making and planning under uncertainty, International Journal of Information Technology & Decision Making 4 (2005) 647-662.
34. A. Gupta and C. D. Maranas, A hierarchical Lagrangean relaxation procedure for solving midterm planning problems, Industrial & Engineering Chemistry Research 38 (1999) 1937-1947.
35. M. S. Fox, M. Barbuceanu and R. Teigen, Agent-oriented supply-chain management, International Journal of Flexible Manufacturing Systems 12 (2000) 165-188.
36. D. Peidro, Models for centralized supply chain planning under uncertainty. Application to an automobile supply chain, Polytechnic University of Valencia (Thesis) (2007).
37. C. Carlsson and P. Korhonen, A parametric approach to fuzzy linear-programming, Fuzzy Sets and Systems 20 (1986) 17-30.
38. J. J. Buckley, Solving possibilistic linear-programming problems, Fuzzy Sets and Systems 31 (1989) 329-341.
39. M. Gen, Y. Tsujimura and K. Ida, Method for solving multiobjective aggregate production planning problem with fuzzy parameters, Computers & Industrial Engineering 23 (1992) 117-120.
40. Y. J. Lai and Ch. L. Hwang, Fuzzy Mathematical Programming: Methods and Applications (Springer-Verlag, Heidelberg, 1992).
41. J. M. Cadenas and J. L. Verdegay, Using fuzzy numbers in linear programming, IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics 27 (1997) 1016-1022.
42. M. Jiḿenez, M. Arenas, A. Bilbao and M. V. guez, Linear programming with fuzzy parameters: An interactive method resolution, European Journal of Operational Research 177 (2007) 1599-1609.
43. N. Nowakowska, Methodological problems of measurement of fuzzy concepts in the social sciences, Behavioral Science 22 (1977) 21-33.
44. F. Arikan and Z. Gungor, A parametric model for cell formation and exceptional elements' problems with fuzzy parameters, Journal of Intelligent Manufacturing 16 (2005) 103-114.
45. J. Mula, R. Poler, J. P. García and A. Ortiz, Demand uncertainty effects of first tier suppliers of an automobile industry supply chain, The ICFAI Journal of Supply Chain Management 2 (2005) 19-39.
46. Maximal Software Incorporation, "MPL modeling system. Release 4.2e," USA 2004.
47. ILOG Incorporation, "CPLEX 9.0," USA 2003.
48. J. Mula, R. Poler and J. P. García, MRP with flexible constraints: A fuzzy mathematical programming approach, Fuzzy Sets and Systems 157 (2006) 74-97.