IDEAS home Printed from https://ideas.repec.org/a/spr/opsear/v59y2022i4d10.1007_s12597-022-00601-4.html
   My bibliography  Save this article

An integrated mathematical model based on grey optimal ranking for supplier selection considering pandemic situation

Author

Listed:
  • Sayan Chakraborty

    (ICFAI Foundation for Higher Education)

  • Akshat Jain

    (Indian Institute of Technology Kharagpur)

  • S. P. Sarmah

    (Indian Institute of Technology Kharagpur)

Abstract

Optimal selection and allocation of suppliers are crucial decisions for an organization and it becomes more critical when the firm faces disruptive events. The recent outbreak of COVID-19 has led to massive supply disruptions in a supply chain. This paper aims to address the supplier selection and allocation problem of manufacturing firms under pandemic environment. In this study, a novel Mixed Integer Linear Programming (MILP) model integrated with grey optimal ranking of suppliers considering factors related to pandemic situation is proposed. The methodology is implemented in two subsequent stages. In the first stage, Grey Relational Analysis is adopted to determine the grey possibility scoring, and in the second stage, a supplier selection model is proposed to integrate the grey scoring to a MILP model to determine optimal allocation of suppliers. The paper presents a numerical study to demonstrate the proposed model and sensitivity analysis is conducted to deduce key managerial insights regarding the factors affecting the allocation under pandemic situation. Further, the illustration demonstrates how the proposed method integrates the expert ranking based approach and the cost minimization approach. The study is generic in nature and provides useful directions for practitioners involved in supplier selection in manufacturing organizations.

Suggested Citation

  • Sayan Chakraborty & Akshat Jain & S. P. Sarmah, 2022. "An integrated mathematical model based on grey optimal ranking for supplier selection considering pandemic situation," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1613-1648, December.
    • Handle: RePEc:spr:opsear:v:59:y:2022:i:4:d:10.1007_s12597-022-00601-4
    DOI: 10.1007/s12597-022-00601-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12597-022-00601-4
    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/s12597-022-00601-4?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. Talluri, Srinivas & Narasimhan, Ram, 2003. "Vendor evaluation with performance variability: A max-min approach," European Journal of Operational Research, Elsevier, vol. 146(3), pages 543-552, May.
    2. Turan Paksoy & Eren Özceylan & Gerhard-Wilhelm Weber, 2013. "Profit oriented supply chain network optimization," 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. 21(2), pages 455-478, March.
    3. Hanif Malekpoor & Konstantinos Chalvatzis & Nishikant Mishra & Mukesh Kumar Mehlawat & Dimitrios Zafirakis & Malin Song, 2018. "Integrated grey relational analysis and multi objective grey linear programming for sustainable electricity generation planning," Annals of Operations Research, Springer, vol. 269(1), pages 475-503, October.
    4. Sunan Klinmalee & Thanakorn Naenna & Chirawat Woarawichai, 2020. "Application of a genetic algorithm for multi-item inventory lot-sizing with supplier selection under quantity discount and lead time," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 38(3), pages 403-421.
    5. Dobos, Imre & Vörösmarty, Gyöngyi, 2019. "Inventory-related costs in green supplier selection problems with Data Envelopment Analysis (DEA)," International Journal of Production Economics, Elsevier, vol. 209(C), pages 374-380.
    6. Gholamreza Bodaghi & Fariborz Jolai & Masoud Rabbani, 2018. "An integrated weighted fuzzy multi-objective model for supplier selection and order scheduling in a supply chain," International Journal of Production Research, Taylor & Francis Journals, vol. 56(10), pages 3590-3614, May.
    7. Ben-Ammar, Oussama & Bettayeb, Belgacem & Dolgui, Alexandre, 2019. "Optimization of multi-period supply planning under stochastic lead times and a dynamic demand," International Journal of Production Economics, Elsevier, vol. 218(C), pages 106-117.
    8. K. Mathiyazhagan & S. Sudhakar & Abhishek Bhalotia, 2018. "Modeling the criteria for selection of suppliers towards green aspect: a case in Indian automobile industry," OPSEARCH, Springer;Operational Research Society of India, vol. 55(1), pages 65-84, March.
    9. Raja Awais Liaqait & Salman Sagheer Warsi & Taiba Zahid & Usman Ghafoor & Muhammad Shakeel Ahmad & Jeyraj Selvaraj, 2021. "A Decision Framework for Solar PV Panels Supply Chain in Context of Sustainable Supplier Selection and Order Allocation," Sustainability, MDPI, vol. 13(23), pages 1-25, November.
    10. Ivanov, Dmitry & Pavlov, Alexander & Sokolov, Boris, 2014. "Optimal distribution (re)planning in a centralized multi-stage supply network under conditions of the ripple effect and structure dynamics," European Journal of Operational Research, Elsevier, vol. 237(2), pages 758-770.
    11. Xia, Weijun & Wu, Zhiming, 2007. "Supplier selection with multiple criteria in volume discount environments," Omega, Elsevier, vol. 35(5), pages 494-504, October.
    12. Ng, Wan Lung, 2008. "An efficient and simple model for multiple criteria supplier selection problem," European Journal of Operational Research, Elsevier, vol. 186(3), pages 1059-1067, May.
    13. Amin Mahmoudi & Xiaopeng Deng & Saad Ahmed Javed & Na Zhang, 2021. "Sustainable Supplier Selection in Megaprojects: Grey Ordinal Priority Approach," Business Strategy and the Environment, Wiley Blackwell, vol. 30(1), pages 318-339, January.
    14. Mendoza, Abraham & Ventura, José A., 2010. "A serial inventory system with supplier selection and order quantity allocation," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1304-1315, December.
    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. Yakup Çelikbilek & Sarbast Moslem, 2023. "A grey multi criteria decision making application for analyzing the essential reasons of recurrent lane change," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 916-941, June.

    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. Guo, Cong & Li, Xueping, 2014. "A multi-echelon inventory system with supplier selection and order allocation under stochastic demand," International Journal of Production Economics, Elsevier, vol. 151(C), pages 37-47.
    2. Aly Owida & P.J. Byrne & Cathal Heavey & Paul Blake & Khaled S. El-Kilany, 2016. "A simulation based continuous improvement approach for manufacturing based field repair service contracting," International Journal of Production Research, Taylor & Francis Journals, vol. 54(21), pages 6458-6477, November.
    3. José A. Ventura & Boaz Golany & Abraham Mendoza & Chenxi Li, 2022. "A multi-product dynamic supply chain inventory model with supplier selection, joint replenishment, and transportation cost," Annals of Operations Research, Springer, vol. 316(2), pages 729-762, September.
    4. Ho, William & Xu, Xiaowei & Dey, Prasanta K., 2010. "Multi-criteria decision making approaches for supplier evaluation and selection: A literature review," European Journal of Operational Research, Elsevier, vol. 202(1), pages 16-24, April.
    5. Lin, Rong-Ho, 2012. "An integrated model for supplier selection under a fuzzy situation," International Journal of Production Economics, Elsevier, vol. 138(1), pages 55-61.
    6. Hammami, Ramzi & Temponi, Cecilia & Frein, Yannick, 2014. "A scenario-based stochastic model for supplier selection in global context with multiple buyers, currency fluctuation uncertainties, and price discounts," European Journal of Operational Research, Elsevier, vol. 233(1), pages 159-170.
    7. Zeki Ayağ & Funda Samanlioglu, 2016. "An intelligent approach to supplier evaluation in automotive sector," Journal of Intelligent Manufacturing, Springer, vol. 27(4), pages 889-903, August.
    8. Saheeb Ahmed Kayani & Salman Sagheer Warsi & Raja Awais Liaqait, 2023. "A Smart Decision Support Framework for Sustainable and Resilient Supplier Selection and Order Allocation in the Pharmaceutical Industry," Sustainability, MDPI, vol. 15(7), pages 1-30, March.
    9. Phu Pham, Cuong & Thanh Phan, Phuong & Nguyen, Phong Thanh, 2022. "Application of Grey System Theory in Construction Management," MPRA Paper 116788, University Library of Munich, Germany, revised Jul 2022.
    10. Li, Xin & Ventura, José A. & Venegas, Bárbara B. & Kweon, Sang Jin & Hwang, Seong Wook, 2018. "An integrated acquisition policy for supplier selection and lot sizing considering total quantity discounts and a quality constraint," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 119(C), pages 19-40.
    11. Pankaj Dutta & Bharath Jaikumar & Manpreet Singh Arora, 2022. "Applications of data envelopment analysis in supplier selection between 2000 and 2020: a literature review," Annals of Operations Research, Springer, vol. 315(2), pages 1399-1454, August.
    12. García Alcaraz Jorge Luis & Alvarado Iniesta Alejandro & Maldonado Macías Aidé Araceli, 2013. "Selección de proveedores basada en análisis dimensional," Contaduría y Administración, Accounting and Management, vol. 58(3), pages 249-278, julio-sep.
    13. Feng, Bo & Fan, Zhi-Ping & Li, Yanzhi, 2011. "A decision method for supplier selection in multi-service outsourcing," International Journal of Production Economics, Elsevier, vol. 132(2), pages 240-250, August.
    14. Kuo, R.J. & Pai, C.M. & Lin, R.H. & Chu, H.C., 2015. "The integration of association rule mining and artificial immune network for supplier selection and order quantity allocation," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 958-972.
    15. Chen, Chien-Ming, 2009. "A fuzzy-based decision-support model for rebuy procurement," International Journal of Production Economics, Elsevier, vol. 122(2), pages 714-724, December.
    16. Mukherjee, Krishnendu, 2014. "Supplier selection criteria and methods: past, present and future," MPRA Paper 60079, University Library of Munich, Germany.
    17. Omar Abbaas & Jose A. Ventura, 2024. "An Iterative Procurement Combinatorial Auction Mechanism for the Multi-Item, Multi-Sourcing Supplier-Selection and Order-Allocation Problem under a Flexible Bidding Language and Price-Sensitive Demand," Mathematics, MDPI, vol. 12(14), pages 1-30, July.
    18. Islam, Samiul & Amin, Saman Hassanzadeh & Wardley, Leslie J., 2021. "Machine learning and optimization models for supplier selection and order allocation planning," International Journal of Production Economics, Elsevier, vol. 242(C).
    19. Yu, Yugang & Hong, Zhaofu & Zhang, Linda L. & Liang, Liang & Chu, Chengbin, 2013. "Optimal selection of retailers for a manufacturing vendor in a vendor managed inventory system," European Journal of Operational Research, Elsevier, vol. 225(2), pages 273-284.
    20. Jui-Fang Chang & Chao-Jung Lai & Chia-Nan Wang & Ming-Hsien Hsueh & Van Thanh Nguyen, 2021. "Fuzzy Optimization Model for Decision-Making in Supply Chain Management," Mathematics, MDPI, vol. 9(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:opsear:v:59:y:2022:i:4:d:10.1007_s12597-022-00601-4. 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.