Optimal batch production strategies under continuous price decrease and time discounting

Authors

  • S. Mandal Department of Mathematics, Jadavpur University, Kolkata, India
  • B.C. Giri Department of Mathematics, Jadavpur University, Kolkata, India
  • K.S. Chaudhuri Department of Mathematics, Jadavpur University, Kolkata, India

DOI:

https://doi.org/10.2298/YJOR0702165M

Keywords:

inventory, continuous price change, time value of money, shortage

Abstract

Single price discount in unit cost for bulk purchasing is quite common in reality as well as in inventory literature. However, in today's high-tech industries such as personal computers and mobile industries, continuous decrease in unit cost is a regular phenomenon. In the present paper, an attempt has been made to investigate the effects of continuous price decrease and time-value of money on optimal decisions for inventoried goods having time-dependent demand and production rates. The proposed models are developed over a finite time horizon considering both shortages and without shortages in inventory. Numerical examples are taken to illustrate the developed models and to examine the sensitivity of model parameters.

References

Bose, S., Goswami, A., Chaudhuri, K.S., "An EOQ model for deteriorating items with linear time-dependent demand rate and shortages under inflation and time discounting", Journal of Operational Research Society, 46 (1995) 771-782.

Buzacott, J.A., “Economic order quantities with inflation”, Operational Research Quarterly, 26 (1975) 553-558.

Chandra, M.J., Bahner, M.L., "The effects of inflation and the time value of money on some inventory systems", International Journal of Production Research, 23 (1985) 723-730.

Datta, T.K., Pal, A.K., "Effects of inflation and time value of money on an inventory model with linear time-dependent demand rate and shortages", European Journal of Operational Research, 52 (1991) 326-333.

Goyal, S.K., Srinivasan, G., Arcelus, F.J., "One time only incentives and inventory policies", European Journal of Operational Research, 54 (1991) 1-6.

Harris, F.W., “How many parts to make at once?”, Factory, The Magazine of Management, 10 (1913) 135-152.

Khouja, M., Park, S., "Optimal lot sizing under continuous price decrease", International Journal of Management Science, 31 (2003) 539-545.

Lev, B., Weiss, H.J., “Inventory models with cost changes”, Operations Research, 38 (1990) 364-370.

Misra, R.B., “A note on optimal inventory management under inflation”, Naval Research Logist. Quarterly, 26 (1979) 161-165.

Misra, R.B., “A study of inflationary effects on inventory systems”, Logist. Spectrum, 9 (1975) 260-268.

Naddor, E., Inventory Systems, New York, NY, Wiley, 1966.

Peterson, R., Silver, E.A., Decision Systems for Inventory Management and Production Planning, New York, NY, Wiley, 1979.

Sarkar, B.R., Pan, H., “Effects of inflation and time value of money on order quantity and allowable shortage”, International Journal of Production Economics, 34 (1994) 151-155.

Taylor, S.G., Bradly, C.E., “Optimal ordering strategies for announced price increases”, Operations Research, 33 (1985) 312-325.

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Published

2007-09-01

Issue

Vol. 17 No. 2 (2007)

Section

Research Articles

License

Copyright (c) 2007 YUJOR

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