Skip to main content

Optimal Refill Policy for New Product and Take-Back Quantity of Used Product with Deteriorating Items Under Inflation and Lead Time

  • Chapter
  • First Online:
Strategic System Assurance and Business Analytics

Part of the book series: Asset Analytics ((ASAN))

Abstract

This paper considers an inventory model under a condition in which the retailer trades the new item to customers in addition to gathers and trades the used items. The situation is presumed that the quadratic demand rate is price dependent for deteriorating items. The return of used item as a price and linearly time-varying purpose and a price-dependent quadratic demand function are to be discussed. Furthermore, the effect of inflation is also taken into concern. The planned delinquent is expressed as a profit maximization problem for retailer. The objective is to bargain the optimal selling price, the new item’s optimal ordering quantity, and the used item’s optimal quantity concurrently such that the retailer’s aggregate profit is maximized. A numerical example is occupied to deliberate the sensitivity of the models.

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 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
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. Buzacott JA (1975) Economic order quantities with inflation. Oper Res Q 26:553–558

    Article  Google Scholar 

  2. Chen CK, Weng TC, Lo CC (2016) Optimal replenishment quantity for new products and return rate of used products for a retailer. Appl Math Model 40(23):9754–9766

    Article  Google Scholar 

  3. Dutta TK, Pal AK (1991) Effects of inflation and time value of money on an inventory model with linear time dependent demand rate and shortages. Eur J Oper Res 52:326–333

    Article  Google Scholar 

  4. Goyal SK, Giri BC (2001) Recent trends in modeling of deteriorating inventory. Eur J Oper Res 134(1):1–16

    Article  Google Scholar 

  5. Hwang H, Shon K (1983) Management of deteriorating inventory under inflation. Eng Econ 28:191–206

    Article  Google Scholar 

  6. Kannan G, Sasikumar P, Devika K (2010) A genetic algorithm approach for solving a closed loop supply chain model: a case of battery recycling. Appl Math Model 34(3):655–670

    Article  Google Scholar 

  7. Koh SG, Hwang H, Sohn KI, Ko CS (2002) An optimal ordering and recovery policy for reusable items. Comput Ind Eng 43(1):59–73

    Article  Google Scholar 

  8. Rajoria YK, Saini S, Singh SR (2015) EOQ model for decaying items with power demand, partial backlogging and inflation. Int J Appl Eng Res 10(9):22861–22874

    Google Scholar 

  9. Shah NH, Vaghela CR (2018) Retailer’s optimal pricing and replenishment policy for new product and optimal take-back quantity of used product. Yugoslav J Oper Res 28:345–353

    Article  Google Scholar 

  10. Shastri A, Singh SR, Yadav D, Gupta S (2014) Supply chain management for two-level trade credit financing with selling price dependent demand under the effect of preservation technology. Int J Procure Manage 7(6):695–718

    Article  Google Scholar 

  11. Singh SR, Sharma S (2016) A production reliable model for deteriorating products with random demand and inflation. Int J Syst Sci: Oper Logist. https://doi.org/10.1080/23302674.2016.118122

    Article  Google Scholar 

  12. Singh SR, Singh TJ, Singh C (2007) Perishable inventory model with quadratic demand, partial backlogging and permissible delay in payments. Int Rev Pure Appl Math 3(2):199–212

    Google Scholar 

  13. Singh SR, Kumar N, Kumari R (2009) Two-warehouse inventory model for deteriorating items with shortages under inflation and time-value of money. Int J Comput Appl Math 4(1):83–94

    Article  Google Scholar 

  14. Singh C, Singh SR (2011) Imperfect production process with exponential demand rate, Weibull deterioration under inflation. Int J Oper Res 12(4):430–445

    Article  Google Scholar 

  15. Saxena N, Singh SR, Sana SS (2017) A green supply chain model of vendor and buyer for remanufacturing. RAIRO-Oper Res 51(4):1133–1150

    Article  Google Scholar 

  16. Yang HL, Teng JT, Chern MS (2001) Deterministic inventory lot size models under inflation with shortages and deterioration for fluctuating demand. Naval Res Logist 48:144–158

    Article  Google Scholar 

Download references

Acknowledgements

I am indebted to the University Grants Commission, New Delhi, India, for providing financial help in the form of JRF (F.16-6(Dec. 2016)/2017)

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Karuna Rana .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Singh, S.R., Rana, K. (2020). Optimal Refill Policy for New Product and Take-Back Quantity of Used Product with Deteriorating Items Under Inflation and Lead Time. In: Kapur, P.K., Singh, O., Khatri, S.K., Verma, A.K. (eds) Strategic System Assurance and Business Analytics. Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-15-3647-2_36

Download citation

Publish with us

Policies and ethics