IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v607y2022ics0378437122006732.html
   My bibliography  Save this article

Time evolution of a Supply Chain Network: Kinetic modeling

Author

Listed:
  • Debnath, Biswajit
  • El-Hassani, Rihab
  • Chattopadhyay, Amit K.
  • Kumar, T. Krishna
  • Ghosh, Sadhan K.
  • Baidya, Rahul

Abstract

Resilient supply chains are often inherently dependent on the nature of their complex interconnected networks that are simultaneously multi-dimensional and multi-layered. This article presents a Supply Chain Network (SCN) model that can be used to regulate downstream relationships towards a sustainable SME using a 4-component cost function structure — Environmental (E), Demand (D), Economic (E), and Social (S). As a major generalization to the existing practice of using phenomenological interrelationships between the EDES cost kernels, we propose a complementary time varying model of a cost function, based on Lagrangian mechanics (incorporating SCN constraints through Lagrange multipliers), to analyze the time evolution of the SCN variables to interpret the competition between economic inertia and market potential. Multicriteria decision making, based on an Analytic Hierarchy Process (AHP), ranks performance quality, identifying key business decision makers. The model is first solved numerically and then validated against real data pertaining to two Small and Medium Enterprises (SMEs) from diverse domains, establishing the domain-independent nature of the model. The results quantify how increases in a production line without appropriate consideration of market volatility can lead to bankruptcy, and how high transportation cost together with increased production may lead to a break-even state. The model also predicts the time it takes a policy change to reinvigorate sales, thereby forecasting best practice operational procedure that ensures holistic sustainability on all four sustainability fronts.

Suggested Citation

  • Debnath, Biswajit & El-Hassani, Rihab & Chattopadhyay, Amit K. & Kumar, T. Krishna & Ghosh, Sadhan K. & Baidya, Rahul, 2022. "Time evolution of a Supply Chain Network: Kinetic modeling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    • Handle: RePEc:eee:phsmap:v:607:y:2022:i:c:s0378437122006732
    DOI: 10.1016/j.physa.2022.128085
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122006732
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.128085?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. Ali Diabat & Jean-Philippe Richard, 2015. "An integrated supply chain problem: a nested lagrangian relaxation approach," Annals of Operations Research, Springer, vol. 229(1), pages 303-323, June.
    2. Snyder, Neil H., 1987. "Validating measures of environmental change," Journal of Business Research, Elsevier, vol. 15(1), pages 31-43, February.
    3. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    4. Hu, Fei & Lim, Cheng-Chew & Lu, Zudi, 2014. "Optimal production and procurement decisions in a supply chain with an option contract and partial backordering under uncertainties," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1225-1234.
    5. Shen, Jiayu, 2020. "An environmental supply chain network under uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    6. Zhao, Jing & Wang, Lisha, 2015. "Pricing and retail service decisions in fuzzy uncertainty environments," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 580-592.
    7. Li, Qi & Hu, Guiping, 2014. "Supply chain design under uncertainty for advanced biofuel production based on bio-oil gasification," Energy, Elsevier, vol. 74(C), pages 576-584.
    8. Cardoso, Sónia R. & Barbosa-Póvoa, Ana Paula F.D. & Relvas, Susana, 2013. "Design and planning of supply chains with integration of reverse logistics activities under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 226(3), pages 436-451.
    9. Zhang, Guoquan & Shang, Jennifer & Li, Wenli, 2011. "Collaborative production planning of supply chain under price and demand uncertainty," European Journal of Operational Research, Elsevier, vol. 215(3), pages 590-603, December.
    10. Ross,Sheldon M., 2011. "An Elementary Introduction to Mathematical Finance," Cambridge Books, Cambridge University Press, number 9780521192538, 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. Amit K Chattopadhyay & Biswajit Debnath & Rihab El-Hassani & Sadhan Kumar Ghosh & Rahul Baidya, 2020. "Cleaner Production in Optimized Multivariate Networks: Operations Management through a Roll of Dice," Papers 2003.00884, arXiv.org.
    2. Shen, Jiayu & Shi, Jianxin & Gao, Lingceng & Zhang, Qiang & Zhu, Kai, 2023. "Uncertain green product supply chain with government intervention," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 136-156.
    3. Banai, Reza, 2010. "Evaluation of land use-transportation systems with the Analytic Network Process," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 3(1), pages 85-112.
    4. Fatih Yiğit & Şakir Esnaf, 2021. "A new Fuzzy C-Means and AHP-based three-phased approach for multiple criteria ABC inventory classification," Journal of Intelligent Manufacturing, Springer, vol. 32(6), pages 1517-1528, August.
    5. Rachele Corticelli & Margherita Pazzini & Cecilia Mazzoli & Claudio Lantieri & Annarita Ferrante & Valeria Vignali, 2022. "Urban Regeneration and Soft Mobility: The Case Study of the Rimini Canal Port in Italy," Sustainability, MDPI, vol. 14(21), pages 1-27, November.
    6. Lin, Sheng-Hau & Zhao, Xiaofeng & Wu, Jiuxing & Liang, Fachao & Li, Jia-Hsuan & Lai, Ren-Ji & Hsieh, Jing-Chzi & Tzeng, Gwo-Hshiung, 2021. "An evaluation framework for developing green infrastructure by using a new hybrid multiple attribute decision-making model for promoting environmental sustainability," Socio-Economic Planning Sciences, Elsevier, vol. 75(C).
    7. Pishchulov, Grigory & Trautrims, Alexander & Chesney, Thomas & Gold, Stefan & Schwab, Leila, 2019. "The Voting Analytic Hierarchy Process revisited: A revised method with application to sustainable supplier selection," International Journal of Production Economics, Elsevier, vol. 211(C), pages 166-179.
    8. Seung-Jin Han & Won-Jae Lee & So-Hee Kim & Sang-Hoon Yoon & Hyunwoong Pyun, 2022. "Assessing Expected Long-term Benefits for the Olympic Games: Delphi-AHP Approach from Korean Olympic Experts," SAGE Open, , vol. 12(4), pages 21582440221, December.
    9. Denys Yemshanov & Frank H. Koch & Yakov Ben‐Haim & Marla Downing & Frank Sapio & Marty Siltanen, 2013. "A New Multicriteria Risk Mapping Approach Based on a Multiattribute Frontier Concept," Risk Analysis, John Wiley & Sons, vol. 33(9), pages 1694-1709, September.
    10. Mangla, Sachin Kumar & Srivastava, Praveen Ranjan & Eachempati, Prajwal & Tiwari, Aviral Kumar, 2024. "Exploring the impact of key performance factors on energy markets: From energy risk management perspectives," Energy Economics, Elsevier, vol. 131(C).
    11. Seyed Rakhshan & Ali Kamyad & Sohrab Effati, 2015. "Ranking decision-making units by using combination of analytical hierarchical process method and Tchebycheff model in data envelopment analysis," Annals of Operations Research, Springer, vol. 226(1), pages 505-525, March.
    12. V. Srinivasan & G. Shainesh & Anand K. Sharma, 2015. "An approach to prioritize customer-based, cost-effective service enhancements," The Service Industries Journal, Taylor & Francis Journals, vol. 35(14), pages 747-762, October.
    13. Mónica García-Melón & Blanca Pérez-Gladish & Tomás Gómez-Navarro & Paz Mendez-Rodriguez, 2016. "Assessing mutual funds’ corporate social responsibility: a multistakeholder-AHP based methodology," Annals of Operations Research, Springer, vol. 244(2), pages 475-503, September.
    14. Jitendar Kumar Khatri & Bhimaraya Metri, 2016. "SWOT-AHP Approach for Sustainable Manufacturing Strategy Selection: A Case of Indian SME," Global Business Review, International Management Institute, vol. 17(5), pages 1211-1226, October.
    15. Vlachokostas, Ch. & Michailidou, A.V. & Achillas, Ch., 2021. "Multi-Criteria Decision Analysis towards promoting Waste-to-Energy Management Strategies: A critical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 138(C).
    16. Cui, Ye & E, Hanyu & Pedrycz, Witold & Fayek, Aminah Robinson, 2022. "A granular multicriteria group decision making for renewable energy planning problems," Renewable Energy, Elsevier, vol. 199(C), pages 1047-1059.
    17. Jha, Madan K. & Chowdary, V.M. & Kulkarni, Y. & Mal, B.C., 2014. "Rainwater harvesting planning using geospatial techniques and multicriteria decision analysis," Resources, Conservation & Recycling, Elsevier, vol. 83(C), pages 96-111.
    18. Om Prakash Mishra & Mahesh Chand & Krishan Kumar & Prashant Mishra, 2023. "Investigating applicability of green supply chain management in manufacturing sectors," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(4), pages 1183-1196, August.
    19. David Han-Min Wang & Quang Linh Huynh, 2013. "Mediating Role of Knowledge Management in Effect of Management Accounting Practices on Firm Performance," Journal of Knowledge Management, Economics and Information Technology, ScientificPapers.org, vol. 3(3), pages 1-10, June.
    20. Luis Pérez-Domínguez & Luis Alberto Rodríguez-Picón & Alejandro Alvarado-Iniesta & David Luviano Cruz & Zeshui Xu, 2018. "MOORA under Pythagorean Fuzzy Set for Multiple Criteria Decision Making," Complexity, Hindawi, vol. 2018, pages 1-10, April.

    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:eee:phsmap:v:607:y:2022:i:c:s0378437122006732. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.