An inventory model for deteriorating items with exponential declining demand and partial backlogging

Authors

  • Liang-Yuh Ouyang Tamkang University - Department of Management Sciences and Decision Making, Tamsui, Taiwan
  • Kun-Shan Wu Tamkang University - Department of Business Administration, Tamsui, Taiwan
  • Mei-Chuan Cheng Graduate Institute of Management Sciences, Tamkang University, Tamsui, Taiwan

DOI:

https://doi.org/10.2298/YJOR0502277O

Keywords:

inventory, deteriorating items, exponential declining demand, partial backlogging

Abstract

This study proposes an EOQ inventory mathematical model for deteriorating items with exponentially decreasing demand. In the model, the shortages are allowed and partially backordered. The backlogging rate is variable and dependent on the waiting time for the next replenishment. Further, we show that the minimized objective cost function is jointly convex and derive the optimal solution. A numerical example is presented to illustrate the model and the sensitivity analysis is also studied.

References

Aggarwal, S.P. (1978) A note on an order level inventory model for a system with constant rate of deterioration. Opsearch, 15, 4, 184-187

Benkherouf, L. (1998) Note on a deterministic lot size inventory model for deteriorating items with shortages and a declining market. Computers and Operations Research, 25, 63-65

Chang, H.J., Dye, C.Y. (1999) An EOQ model for deteriorating items with time varying demand and partial backlogging. Journal of the Operational Research Society, 50, 1176-1182

Chung, K.J., Tsai, S.F. (1999) A solution procedure to determine inventory replenishment policies for deteriorating items in a declining market. Journal of Information and Optimization Sciences, 20, 1-15

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

Ghare, P.M., Schrader, G.F. (1963) A model for exponentially decaying inventory systems. International Journal of Production Research, 21, 449-460

Goyal, S.K., Giri, B.C. (2001) Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134, 1-16

Hariga, M., Benkherouf, L. (1994) Optimal and heuristic replenishment models for deteriorating items with exponential time varying demand. European Journal of Operational Research, Vol. 79, 123-137

Hollier, R.H., Mak, K.L. (1983) Inventory replenishment policies for deteriorating items in a declining market. International Journal of Production Research, vol. 21, str. 813-826

Park, K.S. (1982) Inventory models with partial backorders. International Journal of Systems Science, 13, 1313-1317

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

Shah, Y.K., Jaiswal, M.C. (1977) An order-level inventory model for a system with constant rate of deterioration. Opsearch, 14, 174-184

Su, C.T., Lin, C.W., Tsai, C.H. (1999) A deterministic production inventory model for deteriorating items with an exponential declining demand. Operational Research Society of India, 36, 2, 95-106

Wee, H.M. (1995) A deterministic lot-size inventory model for deteriorating items with shortages and a declining market. Computers and Operations Research, vol. 22, str. 345-356

Wee, H.M. (1995) Joint pricing and replenishment policy for deteriorating inventory with declining market. International Journal of Production Economics, 40, b, 163-171

Downloads

Published

2005-09-01

Issue

Section

Research Articles