Skip to main content

Pricing and Ordering Decisions in a JELS-Model for Items with Imperfect Quality

  • Conference paper
  • First Online:
Intelligent Systems in Production Engineering and Maintenance (ISPEM 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 835))

  • 2012 Accesses

Abstract

This paper presents a joint economic-lot-size (JELS) model for coordinated inventory replenishment decisions between buyer and vendor. The vendor’s production process is imperfect and produces a certain number of defective items with a known probability density function. The items are delivered to the buyer in equal-sized lots. The buyer faces a linear, price sensitive demand and aims to maximize her expected profit. A mathematical model is developed to determine (a) the selling price, (b) the order quantity, and (c) the number of shipments to the buyer together with this the vendor’s production quantity. A numerical example for an independent as well as integrated policy is provided and its results are discussed.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight 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(3), 292–311 (1986). https://doi.org/10.1111/j.1540-5915.1986.tb00228.x

    Article  Google Scholar 

  2. Bräuer, I., Buscher, U.: A note on “Pricing and ordering decisions in a supply chain with imperfect quality items and inspection under buyback of defective items”. Int. J. Prod. Res. (2017). https://doi.org/10.1080/00207543.2017.1399223

  3. Dehghanbaghi, N., Sajadieh, M.S.: Joint optimization of production, transportation and pricing policies of complementary products in a supply chain. Comput. Ind. Eng. 107, 150–157 (2017). https://doi.org/10.1016/j.cie.2017.03.016

    Article  Google Scholar 

  4. Glock, C.H.: The joint economic lot size problem: a review. Int. J. Prod. Econ. 135(2), 671–686 (2012). https://doi.org/10.1016/j.ijpe.2011.10.026

    Article  Google Scholar 

  5. Goyal, S.K.: An integrated inventory model for a single supplier-single customer problem. Int. J. Prod. Res. 15(1), 107–111 (1976). https://doi.org/10.1080/00207547708943107

    Article  Google Scholar 

  6. Goyal, S.K., Huang, C.K., Chen, K.C.: A simple integrated production policy of an imperfect item for vendor and buyer. Prod. Plann. Control 14(7), 596–602 (2003). https://doi.org/10.1080/09537280310001626188

    Article  Google Scholar 

  7. Huang, C.K.: An integrated vendor-buyer cooperative inventory model for items with imperfect quality. Prod. Plann. Control 13(4), 355–361 (2002). https://doi.org/10.1080/09537280110112424

    Article  Google Scholar 

  8. 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(1), 91–98 (2004). https://doi.org/10.1016/S0925-5273(03)00220-2

    Article  Google Scholar 

  9. Joglekar, P.N.: Note-comments on “A quantity discount pricing model to increase vendor profits”. Manag. Sci. 34(11), 1391–1398 (1988). https://doi.org/10.1287/mnsc.34.11.1391

    Article  Google Scholar 

  10. Khan, M., Jaber, M.Y., Guiffrida, A.L.: The effect of human factors on the performance of a two level supply chain. Int. J. Prod. Econ. 50(2), 517–533 (2012). https://doi.org/10.1080/00207543.2010.539282

    Article  Google Scholar 

  11. Khan, M., Jaber, M.Y., Guiffrida, A.L., Zolfaghari, S.: A review of the extensions of a modified EOQ model for imperfect quality items. Int. J. Prod. Econ. 132(1), 1–12 (2011). https://doi.org/10.1016/j.ijpe.2011.03.009

    Article  Google Scholar 

  12. Maddah, B., Jaber, M.Y.: Economic order quantity for items with imperfect quality: revisited. Int. J. Prod. Econ. 112(2), 808–815 (2008). https://doi.org/10.1016/j.ijpe.2007.07.003

    Article  Google Scholar 

  13. Porteus, E.L.: Optimal lot sizing, process quality improvement and setup cost reduction. Oper. Res. 34(1), 137–144 (1986). https://doi.org/10.1287/opre.34.1.137

    Article  MathSciNet  MATH  Google Scholar 

  14. Sajadieh, M.S., Jokar, M.R.A.: Optimizing shipment, ordering and pricing policies in a two-stage supply chain with price-sensitive demand. Transp. Res. Part E 45(4), 564–571 (2009). https://doi.org/10.1016/j.tre.2008.12.002

    Article  Google Scholar 

  15. Salameh, M.K., Jaber, M.Y.: Economic production quantity model for items with imperfect quality. Int. J. Prod. Econ. 64(1–3), 59–64 (2000). https://doi.org/10.1016/S0925-5273(99)00044-4

    Article  Google Scholar 

  16. Sana, S.S.: A production-inventory model of imperfect quality products in a three-layer supply chain. Decis. Support Syst. 50(2), 539–547 (2011). https://doi.org/10.1016/j.dss.2010.11.012

    Article  Google Scholar 

  17. Szendrovits, A.Z., Drezner, Z.: Optimizing multi-stage production with constant lot size and varying numbers of batches. Omega 8(6), 623–629 (1980). https://doi.org/10.1016/0305-0483(80)90003-1

    Article  Google Scholar 

  18. Taleizadeh, A.A., Noori-daryan, M., Tavakkoli-Moghaddam, R.: Pricing and ordering decisions in a supply chain with imperfect quality items and inspection under buyback of defective items. Int. J. Prod. Res. 53(15), 4553–4582 (2015). https://doi.org/10.1080/00207543.2014.997399

    Article  Google Scholar 

  19. Wahab, M.I.M., Jaber, M.Y.: Economic order quantity model for items with imperfect quality, different holding costs, and learning effects: a note. Comput. Ind. Eng. 58(1), 186–190 (2010). https://doi.org/10.1016/j.cie.2009.07.007

    Article  Google Scholar 

  20. Zanoni, S., Mazzoldi, L., Zavanella, L.E., Jaber, M.Y.: A joint economic lot size model with price and environmentally sensitive demand. Prod. Manuf. Res. 2(1), 341–354 (2014)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Udo Buscher .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bräuer, I., Buscher, U. (2019). Pricing and Ordering Decisions in a JELS-Model for Items with Imperfect Quality. In: Burduk, A., Chlebus, E., Nowakowski, T., Tubis, A. (eds) Intelligent Systems in Production Engineering and Maintenance. ISPEM 2018. Advances in Intelligent Systems and Computing, vol 835. Springer, Cham. https://doi.org/10.1007/978-3-319-97490-3_24

Download citation

Publish with us

Policies and ethics