Multi-item multi-period optimal production problem with variable preparation time in fuzzy stochastic environment

Applied Mathematical Modelling

Volumn 35, Issue 9, 2011, Pages 4341-4353

  Mandal, S ^a   Maity, A K ^a   Maity, K ^a   Mondal, S ^a   Maiti, M ^a  

^a VIDYASAGAR UNIVERSITY   (India)

Author keywords

Fuzzy random variable; Inventory control problem; Mean chance; Stock dependent demand; Variable preparation time

Indexed keywords

FUZZY-RANDOM VARIABLES; INVENTORY CONTROL PROBLEM; MEAN CHANCE; STOCK-DEPENDENT DEMAND; VARIABLE PREPARATION TIME;

GENETIC ALGORITHMS; INVENTORY CONTROL; OPTIMIZATION; PRODUCTION CONTROL;

RANDOM VARIABLES;

EID: 79955587968     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2011.03.007     Document Type: Article

References (34)

1. Hu J.Q., Loulon R. Multi-product production/inventory control under random demands. IEEE Trans. Autom. Control 1995, 40:50-355.
2. Minner S., Kleber R. Optimal control of production and remanufacturing in a simple recovery model with linear cost functions. Spektrum 2001, 23:3-24.
3. Feng Y., Yan H. Optimal production control in a discrete manufacturing system with unreliable machines and random demands. IEEE Trans. Autom. Control 2000, 45(12):2280-2296.
4. Bhunia A.K., Maiti M. A deterministic inventory replenishment problemfor deteriorating items with time-dependent demand and shortages for thefinite time horizon. Opsearch 1997, 34:51-61.
5. Andijani A., Aldajani M. Analysis of deteriorating inventory/production systems using a linear quadratic regulator. Eur. J. Oper. Res. 1998, 106:82-89.
6. Sana S.S. A production-inventory model in an imperfect production process. Eur. J. Oper. Res. 2010, 200(2):451-464.
7. Sana S.S. An economic production lot size model in an imperfect production system. Eur. J. Oper. Res. 2010, 201(1):158-170.
8. Sana S.S., Goyal S.K., Chaudhuri K. An imperfect production volume process in a volume flexible inventory model. Int. J. Product. Econ. 2007, 105(2):548-559.
9. Sana S.S. Demand influenced by enterprises' initiatives - A multi-item EOQ model of deteriorating and ameliorating items. Math. Comput. Model. 2010, 52:284-302.
10. Goyal S.K., Giri B.C. Recent trends modelling of deteriorating inventory. Eur. J. Oper. Res. 2001, 134:1-16.
11. Axsater S., Rosling K. Multi- production-inventory control:material requirements planning or reorderpoint policies. Eur. J. Oper. Res. 1994, 75:5-412.
12. F. Blanchini, S. Miani, R. Pesenti, P. Rinaldi, Control policies for multi-inventory systems with uncertain demand,in: Proceedings of the IEEE Conference on Decision and Control Oriando, Florida, USA, 2001.
13. Bounkel M., Tadj L., Benhadid Y. Optimal control of a production system with inventory-level-dependent demand. Appl. Math. E-notes 2004, 5:36-43.
14. Kiesmuller G., Minner S., Kleber R. Optimal Control of a one product recovery system with backlogging. IMA J. Math. Appl. Business Indust. 2000, 11:189-207.
15. Kleber R., Minner S., Kiesmuller G. A continuous time inventory model for a product recovery system with multiple options. Int. J. Product. Econ. 2002, 79:21-141.
16. Kuo Y. Optimal adaptive control policy for joint machine maintenance and product quality control. Eur. J. Oper. Res. 2006, 171(2):586-597.
17. Bertrand J. Analysis of production control system for a diffusion department. Int. J. Syst. Sci. 1980, 11:589-606.
18. Axsater S. Control theory concepts inproduction- inventory control. Int. J. Syst. Sci. 1985, 16(2):161-169.
19. Datta T.K., Pal A.K. Order level inventory system with power demand pattern for items with variable rate of deterioration. Indian J. Pure Appl. Math. 1988, 1043-1053.
20. Maity K., Maiti M. Production inventory system for deteriorating multi-item with inventory-dependent dynamic demands under inflation and discounting. Tamsui Oxford J. Manage. Sci. 2005, 21:1-18.
21. Mahapatra N.K., Maity M. Production-inventory model for a deteriorating item with imprecise time for production in finite time horizon. Asia Pacific Journal of Operation Research J. Oper. Res. 2006, 23(2):171-192.
22. Dubois D., Prade H. Possibility Theory 1988, Academic Press, New York, London.
23. Dubois D., Prade H. System of linear fuzzy constraints. Fuzzy Sets Syst. 1980, 3(1):37-48.
24. Liu B., Liu Y.K. Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans. Fuzzy Syst. 2002, 10:445-450.
25. Liu B., Iwamura K.B. Chance constraint programming with fuzzy parameters. Fuzzy Sets Syst. 1998, 94:227-237.
26. Liu B., Iwamura K.B. A note on chance constrained programming with fuzzy coefficients. Fuzzy Sets Syst. 1998, 100:229-233.
27. Maity K., Maiti M. Possibility and necessity constaints and their defuzzification - A multi-item production-inventory scenario via optimal control theory. Eur. J. Oper. Res. 2007, 177:882-896.
28. Kwakernaak H. Fuzzy random variablesI. De5nitions and theorems. Inform. Sci. 1978, 15:129.
29. Lopez-Diaz M., Gil M.A. The λ-average value of the expected value of a fuzzy random variable. Fuzzy Sets Syst. 1998, 99:347-391.
30. Puri M.L., Ralescu D.A. Fuzzy random variables. J. Math. Anal. Appl. 1986, 114:40922.
31. Liu B. Fuzzy random chance-constrained programming. IEEE Trans. Fuzzy Syst. 2001, 9(5):713-720.
32. Liu Y.K., Liu B. On minimum-risk problems in fuzzy random decision systems. Comput. Oper. Res. 2005, 32:257-283.
33. Michalewicz Z. Genetic Algorithms+Data Structures=Evolution Programs 2009, Springer.
34. Roy A., Maiti M.K., Kar S., Maiti M. An inventory model for a deteriorating item with displayed stock-dependent demand under fuzzy inflation and time discounting over a random planning horizon. Appl. Math. Model. 2009, 33:744-759.