[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Springer Nature Link
Log in

Optimal inventory system with two backlog costs in response to a discount offer: corrections and complements

  • Original Paper
  • Published:
Operational Research Aims and scope Submit manuscript

Abstract

Kindi and Sarker (Prod Plan Control 22(3):325–333, 2011) develop an inventory model with backlogging to determine the optimal ordering policies in response to a discount offer. In the paper, there are some technical errors in developing of the optimal ordering policies. This paper presents the correct mathematical expressions and the solution to the numerical examples. Furthermore, this study also provides the closed forms for the optimal total gain costs that were not given by Kindi and Sarker (Prod Plan Control 22(3):325–333, 2011).

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Cárdenas-Barrón LE (2009a) Optimal ordering policies in response to a discount offer: extensions. Int J Prod Econ 122(2):774–782

    Article  Google Scholar 

  • Cárdenas-Barrón LE (2009b) Optimal ordering policies in response to a discount offer: corrections. Int J Prod Econ 122(2):783–789

    Article  Google Scholar 

  • Cárdenas-Barrón LE (2011) The derivation of EOQ/EPQ inventory models with two backorders costs using analytic geometry and algebra. Appl Math Model 35(5):2394–2407

    Article  Google Scholar 

  • Cárdenas-Barrón LE (2012) A complement to “A comprehensive note on: an economic order quantity with imperfect quality and quantity discounts”. Appl Math Model 36(12):6338–6340

    Article  Google Scholar 

  • Cárdenas-Barrón LE, Smith NR, Goyal SK (2010) Optimal order size to take advantage of a one-time discount offer with allowed backorders. Appl Math Model 34(6):1642–1652

    Article  Google Scholar 

  • Chang H-C (2011) A comprehensive note on: an economic order quantity with imperfect quality and quantity discounts. Appl Math Model 35(10):5208–5216

    Article  Google Scholar 

  • Kindi MA, Sarker BR (2011) Optimal inventory system with two backlog costs in response to a discount offer. Prod Plan Control 22(3):325–333

    Article  Google Scholar 

  • Lin TY (2010) An economic order quantity with imperfect quality and quantity discounts. Appl Math Model 34(10):3158–3165

    Article  Google Scholar 

Download references

Acknowledgments

This research was supported by the Tecnológico de Monterrey Research Group in Industrial Engineering and Numerical Methods 0822B01006.

Author information

Authors and Affiliations

  1. School of Engineering and Sciences, Tecnológico de Monterrey, E. Garza Sada 2501 Sur, 64849, Monterrey, Nuevo León, Mexico

    Leopoldo Eduardo Cárdenas-Barrón

  2. College of Business, Chung Yuan Christian University, Chung Li, Taiwan, ROC

    Kun-Jen Chung

  3. National Taiwan University of Science and Technology , Taipei, Taiwan, ROC

    Kun-Jen Chung

  4. Department of International Business Management, Shih Chien University, Taipei, Taiwan, ROC

    Kun-Jen Chung

  5. Young Researchers and Elite Club, Islamic Azad University, Karaj Branch, Karaj, Iran

    Nima Kazemi

  6. Young Researchers and Elite Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran

    Ehsan Shekarian

Authors
  1. Leopoldo Eduardo Cárdenas-Barrón
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kun-Jen Chung
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Nima Kazemi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ehsan Shekarian
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Leopoldo Eduardo Cárdenas-Barrón.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cárdenas-Barrón, L.E., Chung, KJ., Kazemi, N. et al. Optimal inventory system with two backlog costs in response to a discount offer: corrections and complements. Oper Res Int J 18, 97–104 (2018). https://doi.org/10.1007/s12351-016-0255-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12351-016-0255-8

Keywords

Search

Navigation