Skip to main content

Optimal Time and EOQ for Inventory of Deteriorating Items with Variation and Leading Times

  • Conference paper
  • First Online:
Techno-Societal 2020
  • 758 Accesses

Abstract

The proposed model represents the optimal time, EQO and optimal total cost, for two different time intervals as components of first run time under-considered constant demand, inventory is non-contact within the first component-time runs, constant within a second, purchasing cost is more than holding, the finite horizon planning, without shortage cost, replenishment required after the second component which is equal the first leading time of first run time. The inventory level is non-zero within a lengthier time on the horizon. Sensitivity analysis for the proposed model has represented the many values for varying demand; the deterioration rate lies in an assumed range. The represented figures explained the performance of optimal quantity and optimal total cost within the components of the first runtime (required time), the difference between the optimal total cost and the actual total cost was proposed.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Abd PL (1996) Optimal pricing and lot sizing under conditions of perishability and partial back ordering. Manage Sci 42:1093–1104

    Article  Google Scholar 

  2. Bierman H, Thomas J (1977) Inventory decisions under inflationary conditions. Decisions Sciences 23:553–558

    Google Scholar 

  3. Chern,M.S., Teng,J.T., Chan,Y.L., (1999) A compersion among various inventory shortage models for deteriorating items on the basis of maximizing profit. Asia-Pacific Journal of Operation Research 5:1176–1182

    Google Scholar 

  4. Dave U, Patel,L.K., (1981) Policy inventory model for deteriorating items with time proportional demand. J Oper Res Soc 32:137–142

    MATH  Google Scholar 

  5. Friedman,M.F., (1982) Inventory lot size models with general time dependent and carrying cost function. INFOR 20:157–167

    Google Scholar 

  6. Haneveld,K.W.K., Teunter,R.H., (1992) Effects of discounting and demand rate variability on the EOQ. International Journal of production economic 54:173–192

    Google Scholar 

  7. Misra,R.B., (1979) A note on optimal inventory management under inflation. Naval Research Logistics Quarterly 26:161–165

    Google Scholar 

  8. Padmanabhan G, Var P (1995) EOQ models for perishable items under stock dependent selling rate. Eur J Oper Res 86:281–292

    Article  Google Scholar 

  9. Pal,.A.K.,Bhunia,.A.K.,Mukherjee,.R.N., (2005) A marketing oriented inventory model with three component demand rate dependent on displayed stock level. Journal of the Operational Research Society, 113–118

    Google Scholar 

  10. Rong,N.K., Mahapatra,N.K., Maiti,M., (2008) A two-warehouse inventory model for a deteriorating item with partially /fully backlogged shortage and fuzzy lead time. Eur J Oper Res 189:59–75

    Google Scholar 

  11. Sachan,R.S., (1984) Policy inventory model for deteriorating items with time proportional demand. J Oper Res Soc 35:1013–1019

    Google Scholar 

  12. Umap,H.P., (2014) Fuzzy Eoq Model for deteriorating items with exponential membership function. American Journal of Applied Mathematics and Statistics 2:203–206

    Google Scholar 

  13. Waliv,R.H., Umap,H.P., (2016) Fuzzy stochastic inventory model for deteriorating item. Yugoslav Journal of Operations Research 27:91–97

    Google Scholar 

  14. Mishra U, Waliv,R.H., Umap,H.P., (2019) Optimizing of multi-objective inventory model by different fuzzy techniques. International Journal of Applied and Computational Mathematics 5:136

    Google Scholar 

  15. Waliv RH.,Umap,.H.P., (2018) Multi item two-warehouse fuzzy inventory model. International Journal of Procurement Management (IJPM) 11, 443–454

    Google Scholar 

  16. Waliv,.R.H., Mishra,.U.,Garg,.H.,Umap,.H.P., (2020) A nonlinear programming approach to solve the stochastic multi-objective inventory model using the uncertain information. Arab J Sci Eng 45, 6963–6973

    Google Scholar 

Download references

Acknowledgements

We would like to thank the editor and referees for the important comments and suggestions that improved the paper, the thanking to Thamar University in Yemen for financially supporting also SRTM University in India. This work is supported by the Mathematical School of Sciences, India to develop the inventory model of deteriorating items.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Alshami, A., Muley, A. (2021). Optimal Time and EOQ for Inventory of Deteriorating Items with Variation and Leading Times. In: Pawar, P.M., Balasubramaniam, R., Ronge, B.P., Salunkhe, S.B., Vibhute, A.S., Melinamath, B. (eds) Techno-Societal 2020. Springer, Cham. https://doi.org/10.1007/978-3-030-69925-3_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-69925-3_1

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-69924-6

  • Online ISBN: 978-3-030-69925-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics