Multi-product multi-constraint inventory control systems with stochastic replenishment and discount under fuzzy purchasing price and holding costs

American Journal of Applied Sciences

Volumn 6, Issue 1, 2009, Pages 1-12

  Taleizadeh, Ata Allah ^a   Niaki, Seyed Taghi Akhavan ^b   Aryaneznad, Mir Bahador ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

^b SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Discount; Fuzzy mixed integer nonlinear programming; Fuzzy simulation; Genetic algorithm; Inventory control; Stochastic replenishment

Indexed keywords

EID: 60249089791     PISSN: 15469239     EISSN: 15543641     Source Type: Journal    
DOI: 10.3844/ajas.2009.1.12     Document Type: Article

References (23)

1. Chiang, C., 2003. Optimal replenishment for a periodic review inventory system with two supply modes. Eur. J. Operat. Res., 149: 229-244.
2. Mohebbi, E. and M.J.M. Posner, 2002. Multiple replenishment orders in continuous-review inventory system with lost sales. Operat. Res. Lett., 3: 117-129.
3. Feng, K. and U.S. Rao, 2007. Echelon-stock (RnT) control in two stage serial stochastic inventory system. Operat. Res. Lett., 35: 95-104.
4. Ouyang, L.Y. and B.R. Chuang, 2000. A periodic review inventory model involving variable leadtime with a service level constraint. Int. J. Syst. Sci., 31: 1209-1215.
5. Chiang, C., 2006. Optimal ordering policies for periodic-review systems with replenishment cycles. Eur. J. Operat. Res., 170: 44-56.
6. Qu, W.W., J.H. Bookbinder and P. Iyogun, 1999. An integrated inventory-transportation system with modified periodic policy for multiple products. Eur. J. Operat. Res., 115: 254-269.
7. Eynan, A. and D. Kropp, 2007. Effective and simple EOQ-like solutions for stochastic demand periodic review systems. Eur. J. Operat. Res., 180: 1135-1143.
8. Bylka, S., 2005. Turnpike policies for periodic review inventory model with emergency orders. Int. J. Prod. Econ., 93-94: 357-373.
9. Mohebbi, E., 2004. A replenishment model for the supply-uncertainty problem. Int. J. Econ., 87: 25-37.
10. Taleizadeh, A.A., M.B. Aryanezhad and S.T.A. Niaki, 2008. Optimizing multi-product multi-constraint inventory control systems with stochastic replenishments. J. Applied Sci., 8: 1228-1234.
11. Hsieh, C.H., 2002. Optimization of fuzzy production inventory models. Inform. Sci., 146: 29-40.
12. Roy, A., M.K. Maiti, S. Kar and M. Maiti, 2007. Two storage inventory model with fuzzy deterioration over a random planning horizon. Math. Comput. Modeling, 46: 1419-1433.
13. Yao, J., S. Chang and J. Su, 2000. Fuzzy inventory without backorder for fuzzy order quantity and fuzzy total demand quantity. Comput. Operat. Res., 27: 935-962.
14. Das, K., T.K. Roy and M. Maiti, 2004. Multi-item stochastic and fuzzy-stochastic inventory models under two restrictions. Comput. Operat. Res., 31: 1793-1806.
15. Chang, H.C., J.S.H. Yao and L.Y. Ouyang, 2004. Fuzzy mixture inventory model with variable lead time based on probabilistic fuzzy set and triangular fuzzy number. Math. Comput. Modeling, 39: 287-304.
16. Mandal, N.K. and T.K. Roy, 2006. A displayed inventory model with l-r fuzzy number. Fuzzy Optimization Decision Making, 5: 227-243.
17. Maiti, M.K. and M. Maiti, 2006. Fuzzy inventory model with two warehouses under possibility constraint. Fuzzy Sets Syst., 157: 52-73.
18. Liu, S.T., 2007. Fuzzy profit measures for a fuzzy economic order quantity model. To Appear in the J. Applied Math. Modeling.
19. Liu, B., 2004. Uncertainty Theory: An Introduction to Its Axiomatic Foundations. Springer, Berlin.
20. Ertogal, K. and M.A. Rahim, 2005. Replenish-upto inventory control policy with random replenishment interval. Int. J. Prod. Econ., 93-94: 399-405.
21. Gen, M., 1997. Genetic Algorithm and Engineering Design. John Wiley & Sons, New York, NY, USA.
22. Holland, J.H., 1975. Adoption in neural and artificial systems. The University of Michigan Press, Ann Arbor, Michigan.
23. Man, K.F., K.S. Tang, S. Kwong and W.A. Halang, 1997. Genetic Algorithms for Control and Signal Processing. Springer Verlag, London.