Fuzzy Inventory Model with Single Item Under Constant Demand and Time Dependent Holding Cost

  • Srichandan Mishra Dept. Of Mathematics, Govt. Science College Malkangiri, Odisha, India
  • Niyati Misra Dept. of Mathematics, Berhampur University, Berhampur, Odisha, India
Keywords: Fuzzy Inventory system, constant demand, time dependent holding cost.

Abstract

The objective of this model is to discuss the inventory model for constant  demand and time dependent holding cost. Mathematical model has been developed for determining the optimal order quantity, the optimal cycle time and optimal total inventory cost in fuzzy environment. For defuzzification, graded unit preference integration method is used. Numerical examples are given to validate the proposed model. Sensitivity analysis is carried out to analyze the effect of changes in the optimal solution with respect to change in various parameters.

Downloads

Download data is not yet available.

References

Chang, S. C. Fuzzy production inventory for fuzzy product quantity with triangular fuzzy number, Fuzzy Sets and Systems, 107 (1999) 37–57.

Chen ,S. H. Operations on Fuzzy Numbers with Function Principle, Tamkang Journal of Management Sciences, 6(1985) 1, 13–26.

Chen,Wang, Backorder fuzzy inventory model under function principle,Information Science, 95, 1996, 1-2, 71-79.

Chen, S. H. and Hsieh,C. H. Optimization of fuzzy simple inventory models,1999 IEEE International Fuzzy System Conference Proceedings, 1(1999), 240–244, Seoul, Korea.

De, P.K., Rawat, A., A fuzzy inventory model without shortages using triangular fuzzy number, Fuzzy Information & Engineering,1, 2011, 59-68.

Goh, M. (1994). EOQ model with general demand and holding cost function. European Journal of Operational Research, 73, 50-54.

Guiffrida, A.L. “Fuzzy inventory models” in: Inventory Management: Non-Classical Views, (Chapter 8). M.Y. Jaber (Ed.),CRC Press, FL, Boca Raton, 2010, pp. 173-190.

Hadley, G., Whitin T.M., Analysis of inventory systems, Prentice-Hall, Englewood clipps, NJ, 1963.

Harris, F., Operations and cost, AW Shaw Co. Chicago, (1915).

Hsieh, C.H., Optimization of Fuzzy Production Inventory Models, Information Sciences, 146, 2002, 1-4, 29-40.

Jain, R., Decision making in the presence of fuzzy variables, IIIE Transactions on systems, Man and Cybernetics, 17, 1976, 698-703.

Kacpryzk, J., Staniewski, P., Long-term inventory policy-making through fuzzy-decision making models, Fuzzy Sets and Systems,8, 1982, 117-132.

Kao, C.K., Hsu, W.K., A single-period inventory model with fuzzy demand, Computers and Mathematics with Applications, 43,2002, 841-848.

Muhlemann, A.P. and Valtis-Spanopoulos, N.P. (1980). A variable holding cost rate EOQ model. European Journal of Operational Research, 4, 132- 135.

Park, K.S., Fuzzy Set Theoretical Interpretation of economic order quantity, IEEE Trans. Systems Man. Cybernet SMC, 17, 1987,1082-1084.

Syed, J.K., Aziz, L.A., Fuzzy inventory model without shortages using signed distance method, Applied Mathematics & Information Sciences, 1(2), 2007, 203-209.

Teng, J.T., Chang, C.T., and Goyal, S.K (2005). Optimal pricing and ordering policy under permissible delay in payments. International Journal of Production Economics, 97, 121-129.

Urgeletti Tinarelli, G., Inventory control models and problems, European Journal of Operational Research, 14, 1983, 1-12.

Van der Veen, B. (1967) . Introduction to the theory of operational Research. Philips Technical Library, Springer- Verlag, New York.

Vujosevic, M., Petrovic, D., Petrovic, R., EOQ Formula when Inventory Cost is Fuzzy, International Journal of Production Economics, 45, 1996, 499-504.

Weiss, H.J. (1982). Economic order quantity models with non – linear holding cost. European Journal of Operational Research, 9, 56-60.

Wilson, R., A scientific routine for stock control. Harvard Business Review, 13, 1934, 116–128.

Yao, J.S., Lee, H.M., Economic order quantity in fuzzy sense for inventory without backorder model, Fuzzy Sets and Systems, 105,1999, 13-31.

Yao, J.S., Lee, H.M., Fuzzy Inventory with or without backorder for fuzzy order quantity with trapezoidal fuzzy number, Fuzzy sets and systems, 105, 1999, 311-337.

Yao, J.S., Chiang, J., Inventory without back order with fuzzy total cost and fuzzy storing cost defuzzified by centroid and signed distance, European Journal of Operational Research, 148, 2003, 401-409.

Zadeh L.A., Fuzzy sets, Information Control, 8, 338-353, 1965.

Zadeh, L.A., Bellman, R.E., Decision Making in a Fuzzy Environment, Management Science, 17, 1970, 140-164.

Zimmerman, H.J., Using fuzzy sets in operational Research, European Journal of Operational Research 13, 1983, 201-206.

Published
2016-04-09
How to Cite
Mishra, S., & Misra, N. (2016). Fuzzy Inventory Model with Single Item Under Constant Demand and Time Dependent Holding Cost. Journal of Progressive Research in Mathematics, 7(2), 949-961. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/684
Section
Articles