Skip to main content
SpringerLink
Log in

An Integrated Imperfect Production-Inventory Model with Lot-Size-Dependent Lead-Time and Quality Control

  • Conference paper
  • First Online:
Operations Research and Optimization (FOTA 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 225))

  • 720 Accesses

Abstract

In this article, an integrated single-vendor single-buyer production-inventory model with stochastic demand and imperfect production process is investigated. The lead-time is assumed to be dependent on the lot-size and a fixed delay due to non-productive times. A methodology is developed to derive the optimal vendor investment required to reduce the defect rate and thereby minimize the total cost of the integrated system. Under the n-shipment policy, an algorithm is proposed so as to minimize the expected integrated total cost and determine the optimal values of the number of shipments, lot-size, safety stock factor, and percentage of defectives. Numerical results are used to illustrate the effect of various parameters on the system.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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. Banerjee, A.: A joint economic-lot-size model for purchaser and vendor. Decis. Sci. 17, 292–311 (1986)

    Article  Google Scholar 

  2. Ben-Daya, M., Hariga, M.: Economic lot scheduling problem with imperfect production process. J. Oper. Res. Soc. 51, 875–881 (2000)

    Article  MATH  Google Scholar 

  3. Ben-Daya, M., Hariga, M.: Integrated single vendor single buyer model with stochastic demand and variable lead-time. Int. J. Prod. Econ. 92, 75–80 (2004)

    Article  Google Scholar 

  4. Ben-Daya, M., Darwish, M., Ertogral, K.: The joint economic lot sizing problem: review and extensions. Eur. J. Oper. Res. 185, 726–742 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Dey, O., Giri, B.C.: Optimal vendor investment for reducing defect rate in a vendor-buyer integrated system with imperfect production process. Int. J. Prod. Econ. 155, 222–228 (2014)

    Article  Google Scholar 

  6. Glock, C.H.: A comment: “integrated single vendor-single buyer model with stochastic demand and variable lead time”. Int. J. Prod. Econ. 122, 790–792 (2009)

    Article  Google Scholar 

  7. Glock, C.H.: Lead timer eduction strategies in a single-vendor single-buyer integrated inventory model with lot size-dependent lead times and stochastic demand. Int. J. Prod. Econ. 136, 37–44 (2012)

    Article  Google Scholar 

  8. Goyal, S.K.: An integrated inventory model for a single supplier-single customer problem. Int. J. Prod. Res. 15, 107–111 (1976)

    Article  Google Scholar 

  9. Goyal, S.K.: A joint economic-lot-size model for purchaser and vendor: a comment. Decis. Sci. 19, 236–241 (1988)

    Article  Google Scholar 

  10. Goyal, S.K., Cárdenas-Barrón, L.E.: Note on: economic production quantity model for items with imperfect quality—a practical approach. Int. J. Prod. Econ. 77, 85–87 (2002)

    Article  Google Scholar 

  11. Ha, D., Kim, S.L.: Implementation of JIT purchasing: an integrated approach. Prod. Plan. Control 8, 152–157 (1997)

    Article  Google Scholar 

  12. Hill, R.M.: The single-vendor single-buyer integrated production-inventory model with a generalized policy. Eur. J. Oper. Res. 97, 493–499 (1997)

    Article  MATH  Google Scholar 

  13. Hill, R.M.: The optimal production and shipment policy for the single-vendor single-buyer integrated production-inventory problem. Int. J. Prod. Res. 37, 2463–2475 (1999)

    Article  MATH  Google Scholar 

  14. Hsiao, Y.-C.: Integrated logistic and inventory model for a two-stage supply chain controlled by the reorder and shipping points with sharing information. Int. J. Prod. Econ. 115, 229–235 (2008)

    Article  Google Scholar 

  15. Huang, C.K.: An optimal policy for a single-vendor single-buyer integrated production-inventory problem with process unreliability consideration. Int. J. Prod. Econ. 91, 91–98 (2004)

    Article  Google Scholar 

  16. Lin, H.J.: An integrated supply chain inventory model. Yugoslav J. Oper. Res. 22 (2012). https://doi.org/10.2298/YJOR110506019L

  17. Ouyang, L.Y., Wu, K.S., Ho, C.H.: Analysis of optimal vendor-buyer integrated inventory policy involving defective items. Int. J. Adv. Manuf. Technol. 29, 1232–1245 (2006)

    Article  Google Scholar 

  18. Ouyang, L.Y., Wu, K.S., Ho, C.H.: Integrated vendor-buyer inventory model with quality improvement and lead-time reduction. Int. J. Prod. Econ. 108, 349–358 (2007)

    Article  Google Scholar 

  19. Pan, J.C.-H., Yang, J.S.: A study of an integrated inventory with controllable lead time. Int. J. Prod. Res. 40, 1263–1273 (2002)

    Article  MATH  Google Scholar 

  20. Porteus, E.L.: Optimal lot sizing, process quality improvement and setup cost reduction. Oper. Res. 36, 137–144 (1986)

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  22. Shu, H., Zhou, X.: An optimal policy for a single-vendor and a single-buyer integrated system with setup cost reduction and process-quality improvement. Int. J. Syst. Sci. (2013). https://doi.org/10.1080/00207721.2013.786155

  23. Zhang, X., Gerchak, Y.: Joint lot sizing and inspection policy in an EOQ model with random yield. IIE Trans. 22, 41–47 (1990)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Techno India University, Kolkata, 700091, West Bengal, India

    Oshmita Dey & Anindita Mukherjee

Authors
  1. Oshmita Dey
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anindita Mukherjee
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Oshmita Dey .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Durgapur, Durgapur, West Bengal, India

    Samarjit Kar

  2. Department of Computer Science and Engineering, Jadavpur University, Kolkata, West Bengal, India

    Ujjwal Maulik

  3. School of Economics and Management, Beijing University of Chemical Technology, Beijing, China

    Xiang Li

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Dey, O., Mukherjee, A. (2018). An Integrated Imperfect Production-Inventory Model with Lot-Size-Dependent Lead-Time and Quality Control. In: Kar, S., Maulik, U., Li, X. (eds) Operations Research and Optimization. FOTA 2016. Springer Proceedings in Mathematics & Statistics, vol 225. Springer, Singapore. https://doi.org/10.1007/978-981-10-7814-9_21

Download citation

Publish with us

Policies and ethics

Search

Navigation