Skip to main content
SpringerLink
Log in

A Deterministic Production Inventory Model for Deteriorating Items with an Exponential Declining Demand

  • Theoretical Papers
  • Published:
OPSEARCH Aims and scope Submit manuscript

Abstract

This study presents a production inventory model for deteriorating products with an exponentially declining demand over a fix time horizon. The production rate at any instant depends on the demand. The proposed model allows for shortages, and excess demand is back-logged as well. Approximate expressions are obtained for the production scheduling period, maximum inventory level, unfilled order backlog and total average cost. In addition, special cases of the model are briefly discussed. A numerical example demonstrates the proposed method’s effectiveness.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. BHUNIA, A.K. and MAITI, M. (1997), Deterministic inventory models for variable production. J. Opl. Res. Soc, 48: 221–224.

    Article  Google Scholar 

  2. BALKHI, Z. T. and BENKHEROUF, L. (1996), A production lot size inventory model for deteriorating items and arbitrary production and demand rates. EJOR., 92: 302–309.

    Article  Google Scholar 

  3. BOSE, S., GOSWAMI, A. and CHAUDHURI, K.S. (1995), An EOQ model for deteriorating items with linear time-dependent demand rate and shortage under inflation and time discounting. J. Opl. Res. Soc, 46: 507–782.

    Article  Google Scholar 

  4. DAVE, U. (1989), A deterministic lot-size inventory model with shortages and a linear trend in demand. Nav. Res. Log., 36: 507–514.

    Article  Google Scholar 

  5. GHARE, P.M. and SCHRADER, G.F. (1963), A model for exponentially decaying inventories. J. Ind. Engng., 14: 234–238.

    Google Scholar 

  6. GOSWAMI, A. and CHUAUDHURI, K.S. (1991), EOQ model for an inventory with a linear trend in demand and finite rate of replenishment considering shortages. Int. J. System Sci., 22: 181–187.

    Article  Google Scholar 

  7. GOSWAMI, A. and CHAUDHURI, K.S. (1992), Variations of order-level inventory models for deteriorating items. Inter. Jour, of production Economics, 2: 111–117.

    Article  Google Scholar 

  8. GUPTA, R. and VRAT, P. (1986), Inventory model with multi-items under constraint systems for stock dependent consumptin rate. Proc. of XIX Annual Convention of Oper. Res. Soc. India, 2: 579–609. Also in Oper. Res., 24: 41–42.

    Google Scholar 

  9. HOLLIER, R.H. and MAK, K.L. (1983), Inventory replenishment policies for deteriorating items in a declining market. Int. J. Prod. Res., 21:813–826.

    Article  Google Scholar 

  10. HONG, J.D., Cavalier, T.M. and Hayya J.C. (1193), On the (t,s) policy in an integrated production/inventory model with time-proportional demand. EJOR., 69: 154–165.

    Article  Google Scholar 

  11. MAK, K.L. (1982), A production lot size inventory model for deteriorating items. Comput. & Indus. Engng., 6: 309–317.

    Article  Google Scholar 

  12. MANDAL, B.N. and PHAUJDAR, S. (1989), An inventory model for deteriorating items and stock-dependent consumption rate. J. Opl. Res. Soc, 40: 483–488.

    Article  Google Scholar 

  13. SU, CT., TONG, LI., and LIAO, H.C. (1996), An inventory model under inflation for stock dependent consumption rate and exponential decay. Opsearch, 33:71–82.

    Google Scholar 

  14. URBAN, T.L. (1992), An inventory model with an inventory-level-dependent demand rate and relaxed terminal conditions. J. Opl. Res. Soc, 43: 721–724.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Industrial Engineering and Management, National Chiao Tung University, Hsinchu, Taiwan, R.O.C.

    Chao-Ton Su (Professor)

  2. Department of Industrial Engineering and Management, National Chio tung University, Hsinchu, Taiwan, R.O.C.

    Change-Wang Lin (graduate student)

  3. Department of Industrial Engineering and Management, Ta Hwa Institute of Technology, Hsinchu, Taiwan, R.O.C.

    Chih-Hung Tsai (Associate Professor)

Authors
  1. Chao-Ton Su
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Change-Wang Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chih-Hung Tsai
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Su, CT., Lin, CW. & Tsai, CH. A Deterministic Production Inventory Model for Deteriorating Items with an Exponential Declining Demand. OPSEARCH 36, 95–106 (1999). https://doi.org/10.1007/BF03398565

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03398565

Search

Navigation