IDEAS home Printed from https://ideas.repec.org/a/spr/endesu/v24y2022i4d10.1007_s10668-021-01660-1.html
   My bibliography  Save this article

Sustainable EOQ and EPQ models for a two-echelon multi-product supply chain with return policy

Author

Listed:
  • Vahid Reza Soleymanfar

    (South Tehran Branch, Islamic Azad University)

  • Ahmad Makui

    (Iran University of Science and Technology)

  • Ata Allah Taleizadeh

    (University of Tehran)

  • Reza Tavakkoli-Moghaddam

    (University of Tehran)

Abstract

In this work, a new model is developed to determine optimum sustainable economic order quantity (EOQ) and economic production quantity (EPQ) values for multiple products of a supply chain with two echelons, consist of a retailer and a supplier, considering product return policy. Based on a literature review on previous related works in sustainable inventory area, 17 different sustainability cost functions, in three types of economic, environmental and social, are defined to form the profit functions of the retailer and the supplier as the main members of the chain. We formulate the profit function of each members of the chain using direct accounting approach as a careful method, considering sustainability costs and return policy to produce and supply multiple products. Two different scenarios for product return are studied considering return amount as a variable or a given parameter. After a numerical example according to an Iranian supply chain that supplies various petrochemical products, a sensitivity analysis related to three parameters of the problem that imposed return functions of products has been conducted. The results show that the total profit amount of each members of the sustainable supply chain is sensitive on the return parameters with different rates.

Suggested Citation

  • Vahid Reza Soleymanfar & Ahmad Makui & Ata Allah Taleizadeh & Reza Tavakkoli-Moghaddam, 2022. "Sustainable EOQ and EPQ models for a two-echelon multi-product supply chain with return policy," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(4), pages 5317-5343, April.
  • Handle: RePEc:spr:endesu:v:24:y:2022:i:4:d:10.1007_s10668-021-01660-1
    DOI: 10.1007/s10668-021-01660-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10668-021-01660-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10668-021-01660-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ford W. Harris, 1990. "How Many Parts to Make at Once," Operations Research, INFORMS, vol. 38(6), pages 947-950, December.
    2. Andriolo, Alessandro & Battini, Daria & Grubbström, Robert W. & Persona, Alessandro & Sgarbossa, Fabio, 2014. "A century of evolution from Harris׳s basic lot size model: Survey and research agenda," International Journal of Production Economics, Elsevier, vol. 155(C), pages 16-38.
    3. Hovelaque, Vincent & Bironneau, Laurent, 2015. "The carbon-constrained EOQ model with carbon emission dependent demand," International Journal of Production Economics, Elsevier, vol. 164(C), pages 285-291.
    4. Glock, C. H. & Jaber, M. Y. & Searcy, C., 2012. "Sustainability strategies in an EPQ model with price- and quality-sensitive demand," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 59335, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. Y Bouchery & Asma Ghaffari & Zied Jemai & Jan C Fransoo, 2016. "Sustainable transportation and order quantity: insights from multiobjective optimization," Post-Print hal-01954465, HAL.
    6. Taleizadeh, Ata Allah & Cárdenas-Barrón, Leopoldo Eduardo & Mohammadi, Babak, 2014. "A deterministic multi product single machine EPQ model with backordering, scraped products, rework and interruption in manufacturing process," International Journal of Production Economics, Elsevier, vol. 150(C), pages 9-27.
    7. Battini, Daria & Persona, Alessandro & Sgarbossa, Fabio, 2014. "A sustainable EOQ model: Theoretical formulation and applications," International Journal of Production Economics, Elsevier, vol. 149(C), pages 145-153.
    8. Lee, Shine-Der & Fu, Yen-Chen, 2014. "Joint production and delivery lot sizing for a make-to-order producer–buyer supply chain with transportation cost," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 66(C), pages 23-35.
    9. Glock, C. H. & Kim, T., 2012. "A joint economic lot sizemodel with returnable transport items," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 59079, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    10. Ata Allah Taleizadeh & Vahid Reza Soleimanfar & Joaquín Sicilia, 2017. "Replenishment policy in a logistics system with environmental considerations," International Journal of Inventory Research, Inderscience Enterprises Ltd, vol. 4(2/3), pages 233-251.
    11. Mohammed, Ahmed & Harris, Irina & Govindan, Kannan, 2019. "A hybrid MCDM-FMOO approach for sustainable supplier selection and order allocation," International Journal of Production Economics, Elsevier, vol. 217(C), pages 171-184.
    12. Hammami, Ramzi & Nouira, Imen & Frein, Yannick, 2015. "Carbon emissions in a multi-echelon production-inventory model with lead time constraints," International Journal of Production Economics, Elsevier, vol. 164(C), pages 292-307.
    13. Wahab, M.I.M. & Mamun, S.M.H. & Ongkunaruk, P., 2011. "EOQ models for a coordinated two-level international supply chain considering imperfect items and environmental impact," International Journal of Production Economics, Elsevier, vol. 134(1), pages 151-158, November.
    14. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "Multi-item EOQ model while demand is sales price and price break sensitive," Economic Modelling, Elsevier, vol. 29(6), pages 2283-2288.
    15. Sana, Shib Sankar, 2012. "A collaborating inventory model in a supply chain," Economic Modelling, Elsevier, vol. 29(5), pages 2016-2023.
    16. Glock, C. H. & Jaber, M. Y. & El Saadany, A., 2013. "Supply Chain Coordination with Emission Reduction Incentives," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57672, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    17. Zhang, Bin & Xu, Liang, 2013. "Multi-item production planning with carbon cap and trade mechanism," International Journal of Production Economics, Elsevier, vol. 144(1), pages 118-127.
    18. Zied Jemai & Y Bouchery & Asma Ghaffari & Yves Dallery, 2012. "Including sustainability criteria into inventory models," Post-Print hal-01672398, HAL.
    19. Bouchery, Yann & Ghaffari, Asma & Jemai, Zied & Dallery, Yves, 2012. "Including sustainability criteria into inventory models," European Journal of Operational Research, Elsevier, vol. 222(2), pages 229-240.
    20. Zied Jemai & Y Bouchery & Asma Ghaffari & Jan C Fransoo, 2016. "Sustainable transportation and order quantity: Insights from multiobjective optimization," Post-Print hal-01672386, HAL.
    21. Glock, C. H., 2012. "The joint economic lot size problem: a review," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57811, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    22. Sgarbossa, F. & Battini, D. & Glock, C. H. & Grosse, E. H. & Persona, A., 2017. "Ergo-lot-sizing: An approach to integrate ergonomic and economic objectives in manual materials handling," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 84857, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    23. Roozbeh Nia, Ali & Hemmati Far, Mohammad & Akhavan Niaki, Seyed Taghi, 2014. "A fuzzy vendor managed inventory of multi-item economic order quantity model under shortage: An ant colony optimization algorithm," International Journal of Production Economics, Elsevier, vol. 155(C), pages 259-271.
    24. Battini, Daria & Glock, Christoph H. & Grosse, Eric H. & Persona, Alessandro & Sgarbossa, Fabio, 2017. "Ergo-lot-sizing: An approach to integrate ergonomic and economic objectives in manual materials handling," International Journal of Production Economics, Elsevier, vol. 185(C), pages 230-239.
    25. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
    26. Yann Bouchery & Asma Ghaffari & Zied Jemai & Jan Fransoo, 2016. "Sustainable transportation and order quantity: insights from multiobjective optimization," Flexible Services and Manufacturing Journal, Springer, vol. 28(3), pages 367-396, September.
    Full references (including those not matched with items on IDEAS)

    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. Battini, Daria & Glock, Christoph H. & Grosse, Eric H. & Persona, Alessandro & Sgarbossa, Fabio, 2017. "Reprint of “Ergo-lot-sizing: An approach to integrate ergonomic and economic objectives in manual materials handling”," International Journal of Production Economics, Elsevier, vol. 194(C), pages 32-42.
    2. Andriolo, Alessandro & Battini, Daria & Grubbström, Robert W. & Persona, Alessandro & Sgarbossa, Fabio, 2014. "A century of evolution from Harris׳s basic lot size model: Survey and research agenda," International Journal of Production Economics, Elsevier, vol. 155(C), pages 16-38.
    3. Konur, Dinçer, 2017. "Non-collaborative emission targets joining and quantity flow decisions in a Stackelberg setting," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 60-82.
    4. Konur, Dinçer & Campbell, James F. & Monfared, Sepideh A., 2017. "Economic and environmental considerations in a stochastic inventory control model with order splitting under different delivery schedules among suppliers," Omega, Elsevier, vol. 71(C), pages 46-65.
    5. Castellano, Davide & Gallo, Mosè & Grassi, Andrea & Santillo, Liberatina C., 2019. "The effect of GHG emissions on production, inventory replenishment and routing decisions in a single vendor-multiple buyers supply chain," International Journal of Production Economics, Elsevier, vol. 218(C), pages 30-42.
    6. Tang, Shaolong & Wang, Wenjie & Cho, Stella & Yan, Hong, 2018. "Reducing emissions in transportation and inventory management: (R, Q) Policy with considerations of carbon reduction," European Journal of Operational Research, Elsevier, vol. 269(1), pages 327-340.
    7. Andriolo, Alessandro & Battini, Daria & Persona, Alessandro & Sgarbossa, Fabio, 2015. "Haulage sharing approach to achieve sustainability in material purchasing: New method and numerical applications," International Journal of Production Economics, Elsevier, vol. 164(C), pages 308-318.
    8. Hovelaque, Vincent & Bironneau, Laurent, 2015. "The carbon-constrained EOQ model with carbon emission dependent demand," International Journal of Production Economics, Elsevier, vol. 164(C), pages 285-291.
    9. Lucas Dias Condeixa & Pierry Silva & Diego Moah & Brenda Farias & Adriana Leiras, 2022. "Evaluating cost impacts on reverse logistics using an Economic Order Quantity (EOQ) model with environmental and social considerations," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(3), pages 921-940, September.
    10. Glock, Christoph H. & Grosse, Eric H., 2021. "The impact of controllable production rates on the performance of inventory systems: A systematic review of the literature," European Journal of Operational Research, Elsevier, vol. 288(3), pages 703-720.
    11. Schaefer, Brian & Konur, Dinçer, 2015. "Economic and environmental considerations in a continuous review inventory control system with integrated transportation decisions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 142-165.
    12. Jawad, Hussam & Jaber, Mohamad Y. & Nuwayhid, Rida Y., 2018. "Improving supply chain sustainability using exergy analysis," European Journal of Operational Research, Elsevier, vol. 269(1), pages 258-271.
    13. Daryanto, Yosef & Wee, Hui Ming & Astanti, Ririn Diar, 2019. "Three-echelon supply chain model considering carbon emission and item deterioration," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 368-383.
    14. Beullens, Patrick, 2014. "Revisiting foundations in lot sizing—Connections between Harris, Crowther, Monahan, and Clark," International Journal of Production Economics, Elsevier, vol. 155(C), pages 68-81.
    15. Aleksander Banasik & Jacqueline M. Bloemhof-Ruwaard & Argyris Kanellopoulos & G. D. H. Claassen & Jack G. A. J. Vorst, 2018. "Multi-criteria decision making approaches for green supply chains: a review," Flexible Services and Manufacturing Journal, Springer, vol. 30(3), pages 366-396, September.
    16. Bazan, Ehab & Jaber, Mohamad Y. & Zanoni, Simone, 2017. "Carbon emissions and energy effects on a two-level manufacturer-retailer closed-loop supply chain model with remanufacturing subject to different coordination mechanisms," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 394-408.
    17. Engebrethsen, Erna & Dauzère-Pérès, Stéphane, 2019. "Transportation mode selection in inventory models: A literature review," European Journal of Operational Research, Elsevier, vol. 279(1), pages 1-25.
    18. Khan, Mehmood & Hussain, Matloub & Saber, Hussein M., 2016. "Information sharing in a sustainable supply chain," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 208-214.
    19. Soon-Kyo Lee & Seung Ho Yoo & Taesu Cheong, 2017. "Sustainable EOQ under Lead-Time Uncertainty and Multi-Modal Transport," Sustainability, MDPI, vol. 9(3), pages 1-22, March.
    20. Zhimiao Tao & Jiuping Xu, 2019. "Carbon-Regulated EOQ Models with Consumers’ Low-Carbon Awareness," Sustainability, MDPI, vol. 11(4), pages 1-16, February.

    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:spr:endesu:v:24:y:2022:i:4:d:10.1007_s10668-021-01660-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.