Skip to main content

Production Inventory Model for Three Levels of Production with Defective Items, Shortages Including Multi-delivery Policy

  • Conference paper
  • First Online:
Advances in Mathematical Modeling and Scientific Computing (ICRDM 2022)

Part of the book series: Trends in Mathematics ((TM))

Included in the following conference series:

  • 97 Accesses

Abstract

In this chapter, we proposed three alternative rates of production or manufacturing inventory with defective items including, shortages with a multi- delivery policy. The purpose is to reduce the rate of production at initial stage is avoided. We proposed two models, in that model II holding cost value is less than model I. Model II gives minimum holding cost in the shortage period. The objective is to minimize the holding cost and total variable cost. Numerical examples are provided to validate the proposed inventory model. Finally,sensitivity analyses are performed to investigated the impact of charging various system parameters.

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 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 249.99
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

References

  1. Chiu, Y.S.P., Wu, M.-F., Chiu, S.W., Chang, H.-H.: A simplified approach to the multi-item economic production quantity model with scrap, rework, and multi-delivery. J. Appl. Res. Technol. 13, 472–476 (2015)

    Article  Google Scholar 

  2. Viji, G., Karthikeyan, K.: An economic production quantity model for three levels of production with Weibull distribution deterioration and shortage. Ain Shams Eng. J. 9, 1481–1487 (2018)

    Article  Google Scholar 

  3. Hsu, J.-T., Hsu, L.-F.: Two EPQ models with imperfect production processes, inspection errors, planned backorders, and sales returns. Comput. Ind. Eng. 64, 389–402 (2013)

    Article  Google Scholar 

  4. Rivera-Gomez, H., Gharbi, A., Kenne, J.-P., Ortiz-Zarco, R., Corona-Armenta, J.R.: Joint production, inspection and maintenance control policies for deteriorating system under quality constraint. J. Manuf. Syst. 60, 585–607 (2021)

    Article  Google Scholar 

  5. Ozturk, H.: A deterministic production inventory model with defective items, imperfect rework process and shortages backordered. Int. J. Oper. Res. 39, 237–261 (2020)

    Article  MathSciNet  Google Scholar 

  6. Salameh, M.K., Jaber, M.Y.: Economic production quantity model for items with imperfect quality. Int. J. Prod. Econ. 64, 59–64 (2000)

    Article  Google Scholar 

  7. Muluneh, E.K., Srinivasa Rao, K.: EPQ models for deteriorating items with stock-dependent production rate and time-dependent demand having three-parameter Weibull decay. Int. J. Oper. Res. 14, 271–300 (2012)

    Article  MathSciNet  Google Scholar 

  8. Zhou, Y.-W., Yang, S.-L.: A two-warehouse inventory model for items with stock-level-dependent demand rate. Int. J. Prod. Econ. 95, 215–228 (2005)

    Article  Google Scholar 

  9. Das, S., Khan, M.A.-A., Mahmoud, E.E., Abdel-Aty, A.-H., Abualnaja, K.M., Shaikh, A.A.: A production inventory model with partial trade credit policy and reliability. Alex. Eng. J. 60, 1325–1338 (2021)

    Article  Google Scholar 

  10. Sivashankari, C.K., Panayappan, S.: Production inventory model for two levels production with defective items and incorporating multi-delivery policy. Int. J. Oper. Res. 19, 259–279 (2014)

    Article  MathSciNet  Google Scholar 

  11. Hauck, Z., Rabta, B., Reiner, G.: Joint quality and pricing decisions in lot sizing models with defective items. Int. J. Prod. Econ. 241 (2021)

    Google Scholar 

  12. Allen, H.T.: Economic production quantity models for deteriorating/imperfect products and service with rework. Comput. Ind. Eng. 66, 879–888 (2013)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. Karthikeyan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 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

Pavithra, R., Karthikeyan, K. (2024). Production Inventory Model for Three Levels of Production with Defective Items, Shortages Including Multi-delivery Policy. In: Kamalov, F., Sivaraj, R., Leung, HH. (eds) Advances in Mathematical Modeling and Scientific Computing. ICRDM 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-41420-6_41

Download citation

Publish with us

Policies and ethics