IDEAS home Printed from https://ideas.repec.org/a/wut/journl/v34y2024i1p91-117id5.html
   My bibliography  Save this article

A sustainable bi-objective inventory model with source-based emissions and plan-based green investments under inflation and the present value of money

Author

Listed:
  • Tapan Kumar Datta
  • Sayantan Datta
  • Adrijit Goswami

Abstract

The paper develops a finite-horizon inventory model with source-based emissions, plan-based green investments under inflation, and the present value of money. The cap-and-trade policy is used as the carbon policy. The model is solved in a bi-objective scenario where the two objectives are maximization of the present value of net profit and minimization of the total emission. We find the Pareto optimal solutions represented by a Pareto front using the ε-constraint method. A flowchart is provided to find the non-dominated solutions. Pareto solutions for three special cases (no inflation, carbon tax, and no green investments) are also derived. In our sensitivity analyses, we observe that the carbon quota does not affect the optimal policy. It only affects the optimum profit. Our model shows that green investment is beneficial for the polluting firm and also for the environment.

Suggested Citation

  • Tapan Kumar Datta & Sayantan Datta & Adrijit Goswami, 2024. "A sustainable bi-objective inventory model with source-based emissions and plan-based green investments under inflation and the present value of money," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(1), pages 91-117.
  • Handle: RePEc:wut:journl:v:34:y:2024:i:1:p:91-117:id:5
    DOI: 10.37190/ord240105
    as

    Download full text from publisher

    File URL: https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no1_5.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.37190/ord240105?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
    ---><---

    References listed on IDEAS

    as
    1. Kar, Sumi & Basu, Kajla & Sarkar, Biswajit, 2023. "Advertisement policy for dual-channel within emissions-controlled flexible production system," Journal of Retailing and Consumer Services, Elsevier, vol. 71(C).
    2. 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.
    3. Zanoni, S. & Glock, C. H. & Marchi, B. & Ries, J. M. & Jaber, M. Y., 2014. "A joint economic lot size model with financial credits and uncertain investment opportunities," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 65745, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    4. Juanjuan Qin & Xiaojian Bai & Liangjie Xia, 2015. "Sustainable Trade Credit and Replenishment Policies under the Cap-And-Trade and Carbon Tax Regulations," Sustainability, MDPI, vol. 7(12), pages 1-22, December.
    5. Nabajyoti Bhattacharjee & Nabendu Sen, 2022. "A sustainable production inventory model for profit maximization under optimum raw material input rate during production," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 667-693, June.
    6. Datta, T. K. & Pal, A. K., 1991. "Effects of inflation and time-value of money on an inventory model with linear time-dependent demand rate and shortages," European Journal of Operational Research, Elsevier, vol. 52(3), pages 326-333, June.
    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. Cheng, Chun & Qi, Mingyao & Wang, Xingyi & Zhang, Ying, 2016. "Multi-period inventory routing problem under carbon emission regulations," International Journal of Production Economics, Elsevier, vol. 182(C), pages 263-275.
    9. Zied Jemai & Y Bouchery & Asma Ghaffari & Yves Dallery, 2012. "Including sustainability criteria into inventory models," Post-Print hal-01672398, HAL.
    10. Ilkyeong Moon & Yoon Jea Jeong & Subrata Saha, 2016. "Fuzzy Bi-Objective Production-Distribution Planning Problem under the Carbon Emission Constraint," Sustainability, MDPI, vol. 8(8), pages 1-17, August.
    11. D. G. Mogale & Naoufel Cheikhrouhou & Manoj Kumar Tiwari, 2020. "Modelling of sustainable food grain supply chain distribution system: a bi-objective approach," International Journal of Production Research, Taylor & Francis Journals, vol. 58(18), pages 5521-5544, September.
    12. Yi Zheng & Gaoxun Zhang & Weiwei Zhang, 2018. "A Duopoly Manufacturers’ Game Model Considering Green Technology Investment under a Cap-and-Trade System," Sustainability, MDPI, vol. 10(3), pages 1-11, March.
    13. Rendy Surya Saga & Wakhid Ahmad Jauhari & Pringgo Widyo Laksono & Anindya Rachma Dwicahyani, 2019. "Investigating carbon emissions in a production-inventory model under imperfect production, inspection errors and service-level constraint," International Journal of Logistics Systems and Management, Inderscience Enterprises Ltd, vol. 34(1), pages 29-55.
    14. Sarker, Bhaba R. & Pan, Haixu, 1994. "Effects of inflation and the time value of money on order quantity and allowable shortage," International Journal of Production Economics, Elsevier, vol. 34(1), pages 65-72, February.
    15. 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.
    16. Nabajyoti Bhattacharjee & Nabendu Sen, 2021. "An inventory model to study the effect of the probabilistic rate of carbon emission on the profit earned by a supplier," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 31(4), pages 5-33.
    17. Vandana & Shiv Raj Singh & Mitali Sarkar & Biswajit Sarkar, 2023. "Effect of Learning and Forgetting on Inventory Model under Carbon Emission and Agile Manufacturing," Mathematics, MDPI, vol. 11(2), pages 1-20, January.
    18. Chaudhari, Urmila & Bhadoriya, Amrita & Jani, Mrudul Y. & Sarkar, Biswajit, 2023. "A generalized payment policy for deteriorating items when demand depends on price, stock, and advertisement under carbon tax regulations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 556-574.
    19. 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.
    20. Jun-Yeon Lee, 2020. "Investing in carbon emissions reduction in the EOQ model," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 71(8), pages 1289-1300, August.
    21. J. N. Roul & K. Maity & S. Kar & M. Maiti, 2020. "Optimal time-dependent production policy under random time horizon," OPSEARCH, Springer;Operational Research Society of India, vol. 57(2), pages 391-413, June.
    22. Sanjey Kumar & Neeraj Kumar, 2016. "An inventory model for deteriorating items under inflation and permissible delay in payments by genetic algorithm," Cogent Business & Management, Taylor & Francis Journals, vol. 3(1), pages 1239605-123, December.
    23. Osama Abdulaziz Alamri & Mahesh Kumar Jayaswal & Faizan Ahmad Khan & Mandeep Mittal, 2022. "An EOQ Model with Carbon Emissions and Inflation for Deteriorating Imperfect Quality Items under Learning Effect," Sustainability, MDPI, vol. 14(3), pages 1-18, January.
    24. Tapan Kumar Datta & Prasanta Nath & Karabi Dutta Choudhury, 2020. "A hybrid carbon policy inventory model with emission source-based green investments," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 202-220, March.
    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. 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.
    2. 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.
    3. Suchitra Pattnaik & Mitali Madhusmita Nayak & Stefano Abbate & Piera Centobelli, 2021. "Recent Trends in Sustainable Inventory Models: A Literature Review," Sustainability, MDPI, vol. 13(21), pages 1-20, October.
    4. Jialiang Pan & Kun-Shan Wu & Chih-Te Yang & Chi-Jie Lu & Shin Lu, 2024. "Using Game Theory to Explore the Multinational Supply Chain Production Inventory Models of Various Carbon Emission Policy Combinations," Mathematics, MDPI, vol. 12(10), pages 1-18, May.
    5. Zhimiao Tao & Jiuping Xu, 2019. "Carbon-Regulated EOQ Models with Consumers’ Low-Carbon Awareness," Sustainability, MDPI, vol. 11(4), pages 1-16, February.
    6. Tapan Kumar Datta & Prasanta Nath & Karabi Dutta Choudhury, 2020. "A hybrid carbon policy inventory model with emission source-based green investments," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 202-220, March.
    7. Ata Allah Taleizadeh & Leila Aliabadi & Park Thaichon, 2022. "A sustainable inventory system with price-sensitive demand and carbon emissions under partial trade credit and partial backordering," Operational Research, Springer, vol. 22(4), pages 4471-4516, September.
    8. 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.
    9. 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.
    10. Jia-Liang Pan & Chui-Yu Chiu & Kun-Shan Wu & Chih-Te Yang & Yen-Wen Wang, 2021. "Optimal Pricing, Advertising, Production, Inventory and Investing Policies in a Multi-Stage Sustainable Supply Chain," Energies, MDPI, vol. 14(22), pages 1-20, November.
    11. Daria Battini & Martina Calzavara & Ilaria Isolan & Fabio Sgarbossa & Francesco Zangaro, 2018. "Sustainability in Material Purchasing: A Multi-Objective Economic Order Quantity Model under Carbon Trading," Sustainability, MDPI, vol. 10(12), pages 1-15, November.
    12. Jin-Kyung Kwak, 2021. "An Order-Up-to Inventory Model with Sustainability Consideration," Sustainability, MDPI, vol. 13(23), pages 1-8, December.
    13. 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.
    14. 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.
    15. Gila E. Fruchter & Hussein Naseraldin, 2021. "Coordinating Carbon Emissions via Production Quantities: A Differential Game Approach," Games, MDPI, vol. 12(1), pages 1-16, February.
    16. 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.
    17. 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.
    18. 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.
    19. R. Udayakumar & S. Priyan & Mandeep Mittal & Anuwat Jirawattanapanit & Grienggrai Rajchakit & Pramet Kaewmesri, 2022. "A Sustainable Production Scheduling with Backorders under Different Forms of Rework Process and Green Investment," Sustainability, MDPI, vol. 14(24), pages 1-38, December.
    20. 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.

    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:wut:journl:v:34:y:2024:i:1:p:91-117:id:5. 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: Adam Kasperski (email available below). General contact details of provider: https://edirc.repec.org/data/iopwrpl.html .

    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.