IDEAS home Printed from https://ideas.repec.org/a/gam/jjrfmx/v15y2022i6p239-d825373.html
   My bibliography  Save this article

A Fuzzy Imperfect Production Inventory Model Based on Fuzzy Differential and Fuzzy Integral Method

Author

Listed:
  • Amalesh Kumar Manna

    (Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India
    Department of Mathematics, The University of Burdwan, Burdwan 713104, India)

  • Leopoldo Eduardo Cárdenas-Barrón

    (Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey, N.L., México 64849, Mexico)

  • Jayanta Kumar Dey

    (Department of Mathematics, Mahishadal Raj College, Mahishadal 721628, India)

  • Shyamal Kumar Mondal

    (Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India)

  • Ali Akbar Shaikh

    (Department of Mathematics, The University of Burdwan, Burdwan 713104, India)

  • Armando Céspedes-Mota

    (Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey, N.L., México 64849, Mexico)

  • Gerardo Treviño-Garza

    (Tecnologico de Monterrey, School of Engineering and Sciences, Ave. Eugenio Garza Sada 2501, Monterrey, N.L., México 64849, Mexico)

Abstract

In the inventory theory, to treat the uncertainty, the fuzzy set concept is used in order to provide a feasible approach to deal with the uncertainty problem. In this research work, a fuzzy economic production quantity model with interactive fuzzy demands is proposed. In a production process, in the beginning, the system is assumed to be in a controlled state in which only perfect items are manufactured. Later, the manufacturing production process shifts to be an out-of-control-state system; producing both perfect and imperfect items simultaneously, this is considered as a fuzzy state. The defective production rate is also taken into account as a fuzzy state. Here, the selection process of produced items is realized during the production period. With the aim of studying the practical feasibility of the fuzzy economic production inventory model along with a sensitivity analysis of some parameters, different numerical examples are illustrated.

Suggested Citation

  • Amalesh Kumar Manna & Leopoldo Eduardo Cárdenas-Barrón & Jayanta Kumar Dey & Shyamal Kumar Mondal & Ali Akbar Shaikh & Armando Céspedes-Mota & Gerardo Treviño-Garza, 2022. "A Fuzzy Imperfect Production Inventory Model Based on Fuzzy Differential and Fuzzy Integral Method," JRFM, MDPI, vol. 15(6), pages 1-19, May.
  • Handle: RePEc:gam:jjrfmx:v:15:y:2022:i:6:p:239-:d:825373
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1911-8074/15/6/239/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1911-8074/15/6/239/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hyun Kim, Chang & Hong, Yushin, 1999. "An optimal production run length in deteriorating production processes," International Journal of Production Economics, Elsevier, vol. 58(2), pages 183-189, January.
    2. Lo, Sh-Tyan & Wee, Hui-Ming & Huang, Wen-Chang, 2007. "An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 106(1), pages 248-260, March.
    3. Ajoy Kumar Maiti, 2021. "Cloudy fuzzy inventory model under imperfect production process with demand dependent production rate," Journal of Management Analytics, Taylor & Francis Journals, vol. 8(4), pages 741-763, October.
    4. Goyal, Suresh Kumar & Cardenas-Barron, Leopoldo Eduardo, 2002. "Note on: Economic production quantity model for items with imperfect quality - a practical approach," International Journal of Production Economics, Elsevier, vol. 77(1), pages 85-87, May.
    5. Yoo, Seung Ho & Kim, DaeSoo & Park, Myung-Sub, 2009. "Economic production quantity model with imperfect-quality items, two-way imperfect inspection and sales return," International Journal of Production Economics, Elsevier, vol. 121(1), pages 255-265, September.
    6. A. K. Manna & B. Das & J. K. Dey & S. K. Mondal, 2018. "An EPQ model with promotional demand in random planning horizon: population varying genetic algorithm approach," Journal of Intelligent Manufacturing, Springer, vol. 29(7), pages 1515-1531, October.
    7. Lee, Huey-Ming & Yao, Jing-Shing, 1998. "Economic production quantity for fuzzy demand quantity, and fuzzy production quantity," European Journal of Operational Research, Elsevier, vol. 109(1), pages 203-211, August.
    8. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    9. Lo, Sh-Tyan & Wee, Hui-Ming & Huang, Wen-Chang, 2007. "An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 106(2), pages 493-505, April.
    10. Petrovic, Dobrila & Petrovic, Radivoj & Vujosevic, Mirko, 1996. "Fuzzy models for the newsboy problem," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 435-441, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Majed G. Alharbi, 2022. "Carbon Reduction Technology Based on Imperfect Production System for Deteriorating Items with Warranty Periods and Greenness Dependent Demand," Sustainability, MDPI, vol. 14(22), pages 1-16, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tapan Kumar Datta, 2017. "Inventory system with defective products and investment opportunity for reducing defective proportion," Operational Research, Springer, vol. 17(1), pages 297-312, April.
    2. Sraboni Mandal & Danish Ali Khan, 2015. "Integrated inventory model with uniform demand for one vendor one customer," International Journal of Business Performance and Supply Chain Modelling, Inderscience Enterprises Ltd, vol. 7(1), pages 36-52.
    3. Sana, Shib Sankar, 2010. "An economic production lot size model in an imperfect production system," European Journal of Operational Research, Elsevier, vol. 201(1), pages 158-170, February.
    4. Chen, Shan Huo & Chang, Shu Man, 2008. "Optimization of fuzzy production inventory model with unrepairable defective products," International Journal of Production Economics, Elsevier, vol. 113(2), pages 887-894, June.
    5. B.C. Giri & S. Sharma, 2014. "Lot sizing and unequal-sized shipment policy for an integrated production-inventory system," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 888-901, May.
    6. Hsu, Jia-Tzer & Hsu, Lie-Fern, 2013. "An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns," International Journal of Production Economics, Elsevier, vol. 143(1), pages 162-170.
    7. Sher, Mikhail M. & Kim, Seung-Lae & Banerjee, Avijit & Paz, Michael T., 2018. "A supply chain coordination mechanism for common items subject to failure in the electronics, defense, and medical industries," International Journal of Production Economics, Elsevier, vol. 203(C), pages 164-173.
    8. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2014. "Joint pricing and ordering policy for two echelon imperfect production inventory model with two cycles," International Journal of Production Economics, Elsevier, vol. 155(C), pages 229-238.
    9. Eroglu, Abdullah & Ozdemir, Gultekin, 2007. "An economic order quantity model with defective items and shortages," International Journal of Production Economics, Elsevier, vol. 106(2), pages 544-549, April.
    10. Lo, Sh-Tyan & Wee, Hui-Ming & Huang, Wen-Chang, 2007. "An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 106(1), pages 248-260, March.
    11. Leopoldo Eduardo Cárdenas-Barrón & María José Lea Plaza-Makowsky & María Alejandra Sevilla-Roca & José María Núñez-Baumert & Buddhadev Mandal, 2021. "An Inventory Model for Imperfect Quality Products with Rework, Distinct Holding Costs, and Nonlinear Demand Dependent on Price," Mathematics, MDPI, vol. 9(12), pages 1-20, June.
    12. Gouiaa-Mtibaa, A. & Dellagi, S. & Achour, Z. & Erray, W., 2018. "Integrated Maintenance-Quality policy with rework process under improved imperfect preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 173(C), pages 1-11.
    13. R. Patro & Mitali M. Nayak & M. Acharya, 2019. "An EOQ model for fuzzy defective rate with allowable proportionate discount," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 191-215, March.
    14. Chen, Cheng-Kang & Lo, Chih-Chung & Weng, Tzu-Chun, 2017. "Optimal production run length and warranty period for an imperfect production system under selling price dependent on warranty period," European Journal of Operational Research, Elsevier, vol. 259(2), pages 401-412.
    15. Khan, M. & Jaber, M.Y. & Guiffrida, A.L. & Zolfaghari, S., 2011. "A review of the extensions of a modified EOQ model for imperfect quality items," International Journal of Production Economics, Elsevier, vol. 132(1), pages 1-12, July.
    16. Pentico, David W. & Drake, Matthew J. & Toews, Carl, 2009. "The deterministic EPQ with partial backordering: A new approach," Omega, Elsevier, vol. 37(3), pages 624-636, June.
    17. Tien-Yu Lin & Kuo-Lung Hou, 2015. "An imperfect quality economic order quantity with advanced receiving," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 535-551, July.
    18. Joaquín Sicilia & Luis San-José & Juan García-Laguna, 2012. "An inventory model where backordered demand ratio is exponentially decreasing with the waiting time," Annals of Operations Research, Springer, vol. 199(1), pages 137-155, October.
    19. Wang, Chih-Hsiung, 2005. "Integrated production and product inspection policy for a deteriorating production system," International Journal of Production Economics, Elsevier, vol. 95(1), pages 123-134, January.
    20. Abu Hashan Md Mashud & Hui-Ming Wee & Chiao-Ven Huang & Jei-Zheng Wu, 2020. "Optimal Replenishment Policy for Deteriorating Products in a Newsboy Problem with Multiple Just-in-Time Deliveries," Mathematics, MDPI, vol. 8(11), pages 1-18, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jjrfmx:v:15:y:2022:i:6:p:239-:d:825373. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.