An EOQ inventory model for items with ramp type demand, three-parameter Weibull distribution deterioration and starting with shortage

Authors

  • Sanjay Jain Department of Mathematical Sciences Government College Ajmer, Ajmer, India
  • Mukesh Kumar Department of Mathematics Government College Kishangarh, Kishangarh, India

DOI:

https://doi.org/10.2298/YJOR1002249J

Keywords:

EOQ, Weibull distribution deterioration, shortage, ramp type demand

Abstract

In this present paper an inventory model is developed with ramp type demand, starting with shortage and three - parameter Weibull distribution deterioration. A brief analysis of the cost involved is carried out by an example.

References

Chakrabarty, T., Giri, B.C., Chaudhuri, K.S. (1998) An EOQ model for items with Weibull distribution deterioration, shortages and trended demand: An extension of Philip's model. Computers and Operations Research, 25, 649-657

Covert, R.P., Philip, G.C. (1973) An EOQ model for items with Weibull distribution deteriorating. AIIE Transactions, vol. 5, str. 323-326

Dave, U., Patel, L.K. (1981) T, Si: Policy inventory model for deteriorating items with time proportional demand. Journal of the Operational Research Society, 32, 137-142

Elsayed, E.A., Teresi, C. (1983) Analysis of inventory systems with deteriorating items. International Journal of Production Research, 21, str. 449-460

Ghare, P.M., Schrader, G.F. (1963) A model for exponentially decaying inventory. Journal of Industrial Engineering, vol. 14, str. 238-243

Goyal, S.K. (1987) Economic ordering policy for deteriorating items over an infinite time horizon. European Journal of Operations Research, 28, 298-301

Jain, S., Kumar, M. (2007) An EOQ inventory model with ramp type demand, Weibull distribution deterioration and starting with shortage. Opsearch, 44(3): 240

Jalan, A.K., Giri, B.C., Chaudhuri, K.S. (2001) An EOQ model for items with Weibull distribution deterioration, shortages and ramp type demand. u: Recent Development in Operations Research, New Delhi, India: Narosa Publishing House, 207-223

Jalan, A.K., Giri, R.R., Chaudhuri, K.S. (1996) EOQ model for items with Weibull distribution deterioration, shortages and trended demand. International Journal of Systems Science, 27(9): 851-855

Mandal, B., Pal, A.K. (1998) Order level inventory system with ramp type demand rate for deteriorating items. J Interdiscip. Math., 1, 1, 49-66

Misra, K.B. (1975) Optimum production lot size model for a system with deteriorating inventory. International Journal of Production Research, 13, 495-505

Nahamias, S. (1982) Perishable inventory theory: A review. Opsearch, 30, 680-708

Philip, G.C. (1974) A generalized EOQ model for items with Weibull distribution deterioration. AIIE Transactions, vol. 6, str. 159-162

Rafaat, F. (1991) Survey of literature on continuously deteriorating inventory model. J Oper Res Soc, 42, 27-37

Wan, W.J., Chu, P. (1999) Newton-Raphson method for the expected present value of total inventory costs. Journal of Information and Optimization Sciences, 20 129-136

Wu, K.S., Ouyang, L.Y. (2000) A replenishment policy for deteriorating items with ramp type demand rate. Proc. Natt. Sci. Counc. ROC (A), 24 279-286

Wu, K.S. (2001) An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial backlogging. Production Planning and Control, 12, 787- 793

Downloads

Published

2010-09-01

Issue

Section

Research Articles