Numerical approach of multi-objective optimal control problem in imprecise environment

Fuzzy Optimization and Decision Making

Volumn 4, Issue 4, 2005, Pages 313-330

  Maity, K ^a   Maiti, M ^a  

^a VIDYASAGAR UNIVERSITY   (India)

Author keywords

Fuzzy inventory; Imprecise inventory costs; Multi objective; Optimal control; Production

Indexed keywords

COSTS; DECISION MAKING; NUMERICAL METHODS; PRODUCTION CONTROL;

PRODUCTION COSTS; PRODUCTION-INVENTORY MODELS;

PROBLEM SOLVING;

EID: 26844535301     PISSN: 15684539     EISSN: 15732908     Source Type: Journal    
DOI: 10.1007/s10700-005-3666-1     Document Type: Article

References (21)

1. Aliprantis, C. D. and O. Burkinshaw. (1998). "Principal of Real Analysis," USA: Academic Press.
2. Balkhi, Z. T. (2001). "On a Finite Horizon Production Lot Size Inventory Model for Deteriorating Items and Optimal Solution," European Journal of Operational Research 132(1), 210-223.
3. Balkhi, Z. T. (2004). "An Optimal Solution of a General Lot Inventory Model with Deteriorated and Imperfect Products, Taking into Account Inflation and Time Value of Money," International Journal of System Science 35(2), 87-96.
4. Bendaya, M. and A. Rauof. (1993). "On the Constraint Multi-Item Single Period Inventory Problem," International Journal of Production Management 13, 104-112.
5. Benkherouf, L., A. Bomenir, and L. Aggoun. (2003). "A Diffusion Inventory Model for Deteriorating Items," Applied Mathematics and Computation 138(1), 21-39.
6. Bhunia, A. K. and M. Maiti. (1997). "A Deterministic Inventory Replenishment Problem for Deteriorating Items with Time Dependent Demand and Shortages for the Finite Time Horizon," OPSEARCH 34(1),51-61.
7. Chang, H. J. and C. Y. Dye. (1999). "An EOQ Model for Deteriorating Items with Time-Varying Demand and Partial Backlogging," Journal Operational Research Society 50, 1176-1182.
8. Goyal, S. K. and B. C. Giri. (2001). "Recent Trends Modelling of Deteriorating Inventory," European Journal of Operational Research 134(1), 1-16.
9. Grzegorzewsky, P. (2002). "Nearest Interval Approximation of a Fuzzy Number," Fuzzy Sets and Systems 130, 321-330.
10. Hariga, M. A. and L. Benkherouf. (1994). "Optimal and Heuristic Inventory Replenishment Models for Deteriorating Items with Exponential Time-Varying Demand," European Journal of Operational Research 79, 123-137.
11. Harris, F. (1915). Operations and Cost (Factory Management Series), Chicago: A.W. Shaw co.
12. Li, L. and K. K. Lai. (2000). "A Fuzzy Approach to the Multi-Objective Transportation Problem," Computers and Operations Research 27, 43-57.
13. Mandal, M. and M. Maiti. (1999). "Inventory of Damageable Items Variable Replenishment Rate, Stock-Dependent Demand, and Some Units in Hand," Applied Mathematical Modelling 23, 799-807.
14. Miettinen, K. M. (1999). Non-linear Multi-objective, Optimization. Kluwer's International Series.
15. Moore, R. E. (1979). "Method and Application of Interval Analysis," Philadelphia: SIAM.
16. Naddor, E. (1966). Inventory Systems, New York: Wiley.
17. Padmanabhan, G. and P. Vrat. (1990) "Analysis of Multi-Systems Under Resource Constraint. A Non-linear Goal Programming Approach," Engineering Const and Production Management 13(11), 104-112.
18. Roy, T. K. and M. Maiti. (1998). "Multi-Objective Inventory Models of Deteriorating Items with Some Constraints in a Fuzzy Environment," Computers and Operations Research 25, 1085-1095.
19. Sana, S. S. K. Goyal, and K. S. Chaudhuri. (2004). "A Production-Inventory Model for a Deteriorating Item with Trended Demand and Shortages," European Journal of Operational Research 157, 357-371.
20. Worell, B. M. and M. A. Hall. (1982). "The Analysis of Inventory Control Model using Polynomial Geometric Programming," International Journal of Production Research 20(5), 657-667.
21. Zhou, Y. Wu., H. S. Lau, and S. L. Yang. (2003). "A New Variable Production Scheduling Strategy for Deteriorating Items with Time-Varying Demand and partial Lost Sale," Computers and Operations research 30(12), 1753-1776.