Skip to main content

Advertisement

Springer Nature Link
Log in

Optimization in Fuzzy Economic Order Quantity Model Involving Pentagonal Fuzzy Parameter

  • Published:
International Journal of Fuzzy Systems Aims and scope Submit manuscript

Abstract

In the classical EOQ model, acquiring cost of an order would be usually paid while receiving its receipt. Sometimes, the supplier may offer the retailer to pay the entire amount or the fraction of acquiring cost in advance as equal number of payments. The present research discusses the EOQ model with substandard products under fuzzy situation. This model deals with the advance payment on acquiring cost, products with substandard quality, and misclassification errors under repair option without scarcity by providing two models. The first model hypothesizes a remittance situation where the advance payment should be paid before the cycle time with some rate of interest which incurred by the supplier while the second model scrutinizes a situation where the prepayment occurs during the time length of the prior cycle which leads the supplier who would offer some price rebate on prepaid quantities. The proportion of improper items and the two kinds of screening errors are considered as the pentagonal fuzzy numbers [PFNs]. A fuzzy EOQ is framed for analyzing the sample, which can obtain the optimal solution. The impact of fuzziness on fraction of substandard products and investigation errors are illustrated for two models with appropriate examples.

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
$34.99 /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 excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Salameh, M.K., Jaber, M.Y.: Economic production quantity model for items with imperfect quality. Int. J. Prod. Econ. 64(1), 59–64 (2000)

    Article  Google Scholar 

  2. Papachristos, S., Konstantaras, I.: Economic ordering quantity models for items with imperfect quality. Int. J. Prod. Econ. 100(1), 148–154 (2000)

    Article  Google Scholar 

  3. Konstantaras, I., Skouri, K., Jaber, M.Y.: Inventory models for imperfect quantity items with shortages and learning in inspection. Appl. Math. Model. 36, 5334–5343 (2012)

    Article  MathSciNet  Google Scholar 

  4. Sugapriya, C., Jeyaraman, K.: An EPQ model for non-instantaneous deteriorating item in which holding cost varies with time. Electronic Journal of Applied Statistical Analysis 1, 16–23 (2008)

    MATH  Google Scholar 

  5. Khan, M., Jaber, M.Y., Bonney, M.: An economic order quantity (EOQ) for items with imperfect quality and inspection errors. Int. J. Prod. Econ. 133, 113–118 (2011)

    Article  Google Scholar 

  6. Al-Salamah, M., Alsawafy, O.: Economic order quantity for items with two types of imperfect quality. An international journal of optimization and control. Theories Appl 2(1), 73–82 (2012)

    MathSciNet  MATH  Google Scholar 

  7. Hsu, J.T., Hsu, L.F.: An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns. Int. J. Prod. Econ. 143, 162–170 (2013)

    Article  Google Scholar 

  8. Jaber, M.Y., Zanoni, S., Zanavella, L.E.: Economic order quantity models for imperfect items with buy and repair options. Int. J. Prod. Econ. 155, 126–131 (2014)

    Article  Google Scholar 

  9. Zhou, Y., Chen, C., Li, C., Zhong, Y.: A synergic economic order quantity model with trade credit, shortages, imperfect quality and inspection errors. Appl Math Model 40(2), 1012–1028 (2015)

    Article  MathSciNet  Google Scholar 

  10. Pimsap, P., Srisodaphol, W.: Economic order quantity model for imperfect items under repair option and inspection errors. Brupa J Sci 23(1), 92–104 (2018)

    Google Scholar 

  11. Sebatjane, M., Adetunji, O.: Economic order quantity model for growing items with imperfect quality. Operat Res Perspect (2019). https://doi.org/10.1016/j.orp.2018.11.004

    Article  MathSciNet  MATH  Google Scholar 

  12. Alfares, H.K., Afzal, A.R.: An economic order quantity model for growing items with imperfect quality and shortages. Arab. J. Sci. Eng. 46, 1863–1875 (2021). https://doi.org/10.1007/s13369-020-05131-z

    Article  Google Scholar 

  13. Zadeh, L.: Fuzzy sets. Inform Control 8, 338–353 (1965)

    Article  Google Scholar 

  14. Liu, B., Liu, Y.K.: Expected value of fuzzy variable and fuzzy expected value models. IEEE Transact Fuzzy Syst 10(4), 445–450 (2002)

    Article  Google Scholar 

  15. Wang, Z., Tian, F.: A note of the expected value and variance of fuzzy variables. Int J Nonlinear Sci 9(4), 486–492 (2010)

    MathSciNet  MATH  Google Scholar 

  16. Panda, A., Pal, M.: A study on pentagonal fuzzy number and its corresponding matrices. Pacific Sci Rev B Humanities Soc Sci 1(3), 131–139 (2015)

    Google Scholar 

  17. Wang, X., Tang, W., Zhao, R.: Random fuzzy EOQ model with imperfect quality items. Fuzzy Optim. Decis. Making 6, 139–153 (2007)

    Article  MathSciNet  Google Scholar 

  18. Liu, J., Zheng, H.: Fuzzy economic order quantity model with imperfect items, shortage and inspection errors. Syst Eng Procedia 4, 282–289 (2012)

    Article  Google Scholar 

  19. Mahata, G.C., Goswami, A.: Fuzzy inventory models for items with imperfect quality and shortage backordering under crisp and fuzzy decision variables. Comput. Ind. Eng. 64, 190–199 (2013)

    Article  Google Scholar 

  20. Bhaya, S., Pal, M., Nayak, P.K.: Intuitionistic fuzzy optimization technique in EOQ model with two types of imperfect quality items. Adv Model Optim 16(1), 33–50 (2014)

    MATH  Google Scholar 

  21. Priyan, S., Palanivel, M., Uthayakumar, R.: Mathematical modeling for EOQ inventory system with advance payment and fuzzy Parameters. Int J Suppl Operat Manag 1(3), 260–278 (2014)

    Google Scholar 

  22. Eshkiki, M.F., Saberifard, N., Ajalli, M.: A fuzzy economic order quantity (EOQ) model with consideration of quality items, inspection errors and sales return. Int J Supp Chain Manag 7(6), 61–71 (2018)

    Google Scholar 

  23. Patro, R., Nayak, M.M., Acharya, M.: An EOQ model for fuzzy defective rate with allowable proportionate discount. OPSEARCH 56, 191–215 (2019)

    Article  MathSciNet  Google Scholar 

  24. De, S.K., Mahata, G.C.: A cloudy fuzzy economic order quantity model for imperfect-quality items with allowable proportionate discounts. J Indust Eng Int 15, 571–583 (2019). https://doi.org/10.1007/s40092-019-0310-1

    Article  Google Scholar 

  25. Rajeswari, S., Sugapriya, C.: Fuzzy economic order quantity model with imperfect quality items under repair option. J Res Lepidoptera 51(1), 627–643 (2020). https://doi.org/10.36872/LEPI/V51I1/301058

    Article  Google Scholar 

  26. Supakar, P., Mahato, S.K.: An EPQ model with time proportion deterioration and ramp type demand under different payment schemes with fuzzy uncertainties. Int J Syst Sci Operat Logistics (2020). https://doi.org/10.1080/23302674.2020.1826594

    Article  Google Scholar 

  27. Tahami, H., Fakhravar, H.: A fuzzy inventory model considering imperfect quality items with receiving reparative batch and order. Eur J Eng Res Sci (2020). https://doi.org/10.24018/ejers.2020.5.10.2184

    Article  Google Scholar 

  28. Taleizadeh, A.A.: An EOQ model with partial backordering and advance payments for an evaporating item. Int. J. Prod. Econ. 155, 185–193 (2014)

    Article  Google Scholar 

  29. Taleizadeh, A.A.: An economic order quantity model for deteriorating item in a purchasing system with multiple prepayments. Appl. Math. Model. 38, 5357–5366 (2014)

    Article  MathSciNet  Google Scholar 

  30. Teng, J.T., Cárdenas-Barrón, L.E., Chang, H.J., Wu, J., Hu, Y.: Inventory lot-size policies for deteriorating items with expiration dates and advance payments. Appl. Math. Model. 40(19–20), 8605–8616 (2016)

    Article  MathSciNet  Google Scholar 

  31. Al-Amin Khan, M., Shaikh, A.A., Panda, G.C., Konstantaras, I.: Two-warehouse inventory model for deteriorating items with partial backlogging and advance payment scheme. RAIRO-Oper. Res. 53, 1691–1708 (2019). https://doi.org/10.1051/ro/2018093

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The authors would like to thank the referees and editor for their valuable comments and suggestions that greatly help us to improve the quality of this paper. This research was supported by the Ministry of Higher Education Malaysia (MOHE) through Fundamental Research Grant Scheme (FRGS) (FRGS/1/2019/STG06/UTHM/02/1) Grant No: K179.

Author information

Authors and Affiliations

  1. Department of Mathematics, Queen Mary’s College, University of Madras, Chennai, India

    S. Rajeswari & C. Sugapriya

  2. Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, India

    D. Nagarajan

  3. Fuzzy Mathematics & Applications Focus Group, Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia (Campus Pagoh), Pagoh, Malaysia

    J. Kavikumar

Authors
  1. S. Rajeswari
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Sugapriya
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Nagarajan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J. Kavikumar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. Nagarajan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rajeswari, S., Sugapriya, C., Nagarajan, D. et al. Optimization in Fuzzy Economic Order Quantity Model Involving Pentagonal Fuzzy Parameter. Int. J. Fuzzy Syst. 24, 44–56 (2022). https://doi.org/10.1007/s40815-021-01111-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40815-021-01111-z

Keywords

Search

Navigation

pFad - Phonifier reborn

Pfad - The Proxy pFad of © 2024 Garber Painting. All rights reserved.

Note: This service is not intended for secure transactions such as banking, social media, email, or purchasing. Use at your own risk. We assume no liability whatsoever for broken pages.


Alternative Proxies:

Alternative Proxy

pFad Proxy

pFad v3 Proxy

pFad v4 Proxy