A deteriorating multi-item inventory model with fuzzy costs and resources based on two different defuzzification techniques

Applied Mathematical Modelling

Volumn 32, Issue 2, 2008, Pages 208-223

  Roy, Arindam ^a   Kar, Samarjit ^a   Maiti, Manoranjan ^b  

^a HALDIA INSTITUTE OF TECHNOLOGY   (India)

^b VIDYASAGAR UNIVERSITY   (India)

Author keywords

Deteriorating items; Duality in non linear programming; Fuzzy extension principle; Interval arithmetic; Inventory problem

Indexed keywords

FUZZY SYSTEMS; GENETIC ALGORITHMS; MULTIOBJECTIVE OPTIMIZATION; NONLINEAR PROGRAMMING;

DEFUZZICATION; FUZZY EXTENSION PRINCIPLE; INTERVAL ARITHMETIC; INTERVAL OBJECTIVE FUNCTION; MULTI-OBJECTIVE GENETIC ALGORITHM (MOGA);

INVENTORY CONTROL;

FUZZY SYSTEMS; GENETIC ALGORITHMS; INVENTORY CONTROL; MULTIOBJECTIVE OPTIMIZATION; NONLINEAR PROGRAMMING;

EID: 34848913816     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2006.11.008     Document Type: Article

References (30)

1. Ghare P.M., and Schrader G.P. A model for exponentially decaying inventory. J. Ind. Eng. 14 (1963) 238-243
2. Covert R.P., and Philip G.C. An EOQ model for item with weibull distribution deterioration. AIIE Trans. 5 (1973) 323-326
3. Misra R.B. Optimum production lot-size model for a system with deteriorating inventory. Int. J. Prod. Res. 13 (1975) 495-505
4. Cohen M.A. Joint pricing and ordering policy for exponentially decaying inventory with known demand. Navel Res. Logis. Q. 24 (1977) 252-268
5. Goyal S.K., and Gunasekaran A. An integrated production inventory marketing model for deteriorating item. Comput. Ind. Eng. 28 (1995) 755-762
6. Benkherouf L.A. Deterministic order level inventory model for deteriorating items with two storage facilities. Int. J. Prod. Economics 48 (1997) 167-175
7. Kang S., and Kim I. A study on the price and production level of the deteriorating inventory system. Int. J. Prod. Res. 21 (1983) 449-460
8. Giri B.C., and S Chaudhuri K. Deterministic models of perishable inventory with stock dependent demand rate and non-linear holding cost. Euro. J. Oper. Res. 19 (1998) 1267-1274
9. Kar S., K Bhunia A., and Maiti M. Inventory of multi-deteriorating items sold from two shops under single management with constraints on space and investment. Comput. Oper. Res. 28 (2001) 1203-1221
10. Raafat F. Survey of literature on continuously deteriorating inventory model. J. Oper. Res. Soc. 42 (1991) 27-37
11. Goyel S.K., and Giri B.C. Recent trends in modeling of deteriorating inventory. Euro. J. Oper. Res. 134 (2001) 1-16
12. Bellman R.E., and Zadeh L.A. Decision-making in a fuzzy environment. Manage. Sci. 17 (1970) B141-B164
13. Tanaka H., Okuda T., and Asai K. On fuzzy mathematical programming. J. Cyber. 3 (1974) 37-46
14. Zimmermann H.J. Fuzzy linear programming with several objective functions. Fuzzy Sets Syst. 1 (1978) 46-55
15. Sommer G. Fuzzy inventory scheduling. In: Lasker G. (Ed). Applied Systems and Cybernetics vol. VI (1981), Academic Press, New York
16. Yao J.-S., and Lee H.M. Fuzzy inventory with backorder for fuzzy order quantity. Inf. Sci. 93 (1996) 283-319
17. Yao J.-S., and Lee H.M. Economic production quantity for fuzzy demand quantity and fuzzy production quantity. Euro. J. Oper. Res. 109 (1998) 203-211
18. Roy T.K., and Maiti M. A fuzzy EOQ model with demand dependent unit cost under limited storage capacity. Euro. J. Oper. Res. 99 (1997) 425-432
19. Roy T.K., and Maiti M. A multi-item displayed EOQ model in fuzzy environment. J. Fuzzy Math., Loss Agles 8 (2000) 881-888
20. Kar S., Bhunia A.K., and Maiti M. A fuzzy deteriorating multi-items EOQ model with price dependent demand under budgetary constraint. AMSE, France 19 (2000) 45-59
21. Yao J.-S., and Chang S.C. Fuzzy measure based decomposition theory. Fuzzy Sets Syst. 112 (2000) 187-205
22. Hansen E.R., and Walster G.W. Global Optimization Using Interval Analysis (2004), Marcel Dekker, New York
23. Grzegorzewski P. Nearest interval approximation of a fuzzy number. Fuzzy Sets Syst. 130 (2002) 321-330
24. Zadeh L.A. Fuzzy set as a basis for a theory of possibility. Fuzzy Sets Syst. 18 (1978) 205-217
25. Liu S.-T., and Kao C. Solving fuzzy transportation problems based on extension principle. Euro. J. Oper. Res. 153 (2004) 661-674
26. Holland H.J. Adaptation in Natural and Artificial Systems (1975), University of Michigan
27. G. Rudolph, Evolutionary search under partially ordered fitness sets, in: Proceedings of the International Symposium on Information Science Innovations in Engineering of Natural and Artificial Intelligent Systems (ISI 2001), pp. 818-822.
28. Deb K., and Srinivas N. Multiobjective function optimization using nondominated sorting genetic algorithm. Evol. Comput. 2 (1995) 221-248
29. Deb K., Agarwal S., and Meyarivan T. A fast and elitist multiobjective genetic algorithm, NSGA-II. IEE Trans. Eval. Comp. 6 (2002)
30. Zadeh L.A. Fuzzy sets. Inf. Control 8 (1965) 338-353