IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v31y2023i1d10.1007_s10100-022-00811-7.html
   My bibliography  Save this article

Type-2 zigzag uncertain multi-objective fixed-charge solid transportation problem: time window vs. preservation technology

Author

Listed:
  • Shyamali Ghosh

    (Vidyasagar University)

  • Karl-Heinz Küfer

    (Fraunhofer-Institut für Techno-und Wirtschaftsmathematik ITWM)

  • Sankar Kumar Roy

    (Vidyasagar University)

  • Gerhard-Wilhelm Weber

    (Poznan University of Technology)

Abstract

Urgency of fresh items is increasing day by day everywhere. During transportation over a long distance, the rate of deterioration is also increasing for perishable items, and if the items are not reaching at destination within a specified time, then they are no longer fresh. Based on the fact, the customers loose the quality and quantity of items; as a result, suppliers are penalized for the occurrence of any such a situation. This problem is resolved by introducing two criteria such as time window restrictions and preservation technology in the proposed study. To prevent the deterioration rate, we find a strategy by formulating a model for multi-objective fixed-charge solid transportation problem with two criteria and then finalize one of them. To ensure that the necessary fresh items are to reached at the destination just in time, we introduce several objectives such as transportation cost, transportation time, preservation cost, penalty charge for time window, carbon emission with cap policy, deterioration, etc., such that these are optimized simultaneously. Again source, demand and conveyance capacity are not precisely estimated for different real-life situations. Here, we address such situation by choosing type-2 zigzag uncertain variable. Expected value operator is initiated to convert such uncertainty into crisp form, and then three approaches, namely, fuzzy programming, Pythagorean hesitant fuzzy programming and global criterion method are utilized to find Pareto-optimal solution. Finally two numerical examples are put to check the appropriateness of the formulated study. The results along with discussions and conclusions are described at last. The main contribution is that the deterioration of transported perishable items is reduced by imposing one of the proposed criteria according to the economical or other conditions of systems.

Suggested Citation

  • Shyamali Ghosh & Karl-Heinz Küfer & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2023. "Type-2 zigzag uncertain multi-objective fixed-charge solid transportation problem: time window vs. preservation technology," 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. 31(1), pages 337-362, March.
  • Handle: RePEc:spr:cejnor:v:31:y:2023:i:1:d:10.1007_s10100-022-00811-7
    DOI: 10.1007/s10100-022-00811-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10100-022-00811-7
    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/s10100-022-00811-7?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. Gurupada Maity & Sankar Kumar Roy & Jose Luis Verdegay, 2019. "Time Variant Multi-Objective Interval-Valued Transportation Problem in Sustainable Development," Sustainability, MDPI, vol. 11(21), pages 1-15, November.
    2. Sadia Samar Ali & Rajbir Kaur & Filiz Ersöz & Bothinah Altaf & Arati Basu & Gerhard-Wilhelm Weber, 2020. "Measuring carbon performance for sustainable green supply chain practices: a developing country scenario," 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. 28(4), pages 1389-1416, December.
    3. Bo Yan & Xiaoxu Chen & Qin Yuan & Xiaotai Zhou, 2020. "Sustainability in fresh agricultural product supply chain based on radio frequency identification under an emergency," 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. 28(4), pages 1343-1361, December.
    4. Qingyou Yan & Qian Zhang, 2015. "The Optimization of Transportation Costs in Logistics Enterprises with Time-Window Constraints," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-10, August.
    5. Warren M. Hirsch & George B. Dantzig, 1968. "The fixed charge problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 15(3), pages 413-424, September.
    6. Hailin Wu & Fengming Tao & Qingqing Qiao & Mengjun Zhang, 2020. "A Chance-Constrained Vehicle Routing Problem for Wet Waste Collection and Transportation Considering Carbon Emissions," IJERPH, MDPI, vol. 17(2), pages 1-21, January.
    7. Soumen Kumar Das & Sankar Kumar Roy & Gerhard Wilhelm Weber, 2020. "Heuristic approaches for solid transportation-p-facility location problem," 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. 28(3), pages 939-961, September.
    8. Yong Ming Wang & Hong Li Yin, 2018. "Cost-Optimization Problem with a Soft Time Window Based on an Improved Fuzzy Genetic Algorithm for Fresh Food Distribution," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-16, August.
    9. Ling Shen & Fengming Tao & Songyi Wang, 2018. "Multi-Depot Open Vehicle Routing Problem with Time Windows Based on Carbon Trading," IJERPH, MDPI, vol. 15(9), pages 1-20, September.
    10. B.C. Giri & H. Pal & T. Maiti, 2017. "A vendor-buyer supply chain model for time-dependent deteriorating item with preservation technology investment," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 10(4), pages 431-449.
    11. K. B. Haley, 1962. "New Methods in Mathematical Programming---The Solid Transportation Problem," Operations Research, INFORMS, vol. 10(4), pages 448-463, August.
    12. Sudipta Midya & Sankar Kumar Roy, 2020. "Multi-objective fixed-charge transportation problem using rough programming," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 37(3), pages 377-395.
    13. Sankar Kumar Roy & Gurupada Maity & Gerhard-Wilhelm Weber, 2017. "Multi-objective two-stage grey transportation problem using utility function with goals," 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. 25(2), pages 417-439, June.
    14. Hsu, P.H. & Wee, H.M. & Teng, H.M., 2010. "Preservation technology investment for deteriorating inventory," International Journal of Production Economics, Elsevier, vol. 124(2), pages 388-394, April.
    15. Elise Rosario & Begoña Vitoriano & Gerhard-Wilhelm Weber, 2020. "Editorial: OR for sustainable development," 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. 28(4), pages 1179-1186, 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. Selma Gütmen & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2024. "An overview of weighted goal programming: a multi-objective transportation problem with some fresh viewpoints," 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. 32(3), pages 557-568, September.

    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. Soumen Kumar Das & Magfura Pervin & Sankar Kumar Roy & Gerhard Wilhelm Weber, 2023. "Multi-objective solid transportation-location problem with variable carbon emission in inventory management: a hybrid approach," Annals of Operations Research, Springer, vol. 324(1), pages 283-309, May.
    2. Priyamvada & Prerna Gautam & Aditi Khanna, 2021. "Sustainable production strategies for deteriorating and imperfect quality items with an investment in preservation technology," 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. 12(5), pages 910-918, October.
    3. Sharmistha Halder Jana & Biswapati Jana & Barun Das & Goutam Panigrahi & Manoranjan Maiti, 2019. "Constrained FC 4D MITPs for Damageable Substitutable and Complementary Items in Rough Environments," Mathematics, MDPI, vol. 7(3), pages 1-26, March.
    4. Shaw, Lipika & Das, Soumen Kumar & Roy, Sankar Kumar, 2022. "Location-allocation problem for resource distribution under uncertainty in disaster relief operations," Socio-Economic Planning Sciences, Elsevier, vol. 82(PA).
    5. Vishal Kashav & Chandra Prakash Garg & Rupesh Kumar, 2023. "Ranking the strategies to overcome the barriers of the maritime supply chain (MSC) of containerized freight under fuzzy environment," Annals of Operations Research, Springer, vol. 324(1), pages 1223-1268, May.
    6. Tooraj Karimi & Arvin Hojati & Jeffrey Yi-Lin Forrest, 2022. "A new methodology for sustainability measurement of banks based on rough set theory," 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(1), pages 415-431, March.
    7. Selma Gütmen & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2024. "An overview of weighted goal programming: a multi-objective transportation problem with some fresh viewpoints," 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. 32(3), pages 557-568, September.
    8. Sebatjane, Makoena, 2022. "The impact of preservation technology investments on lot-sizing and shipment strategies in a three-echelon food supply chain involving growing and deteriorating items," Operations Research Perspectives, Elsevier, vol. 9(C).
    9. Hailin Wu & Fengming Tao & Bo Yang, 2020. "Optimization of Vehicle Routing for Waste Collection and Transportation," IJERPH, MDPI, vol. 17(14), pages 1-26, July.
    10. Muhammad Waqas Iqbal & Muhammad Babar Ramzan & Asif Iqbal Malik, 2022. "Food Preservation within Multi-Echelon Supply Chain Considering Single Setup and Multi-Deliveries of Unequal Lot Size," Sustainability, MDPI, vol. 14(11), pages 1-30, June.
    11. Zhu, Kai & Ji, Kaiyuan & Shen, Jiayu, 2021. "A fixed charge transportation problem with damageable items under uncertain environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    12. Lara, Cristiana L. & Koenemann, Jochen & Nie, Yisu & de Souza, Cid C., 2023. "Scalable timing-aware network design via lagrangian decomposition," European Journal of Operational Research, Elsevier, vol. 309(1), pages 152-169.
    13. Jian Zhou & Meixi Zhang & Sisi Wu, 2022. "Multi-Objective Vehicle Routing Problem for Waste Classification and Collection with Sustainable Concerns: The Case of Shanghai City," Sustainability, MDPI, vol. 14(18), pages 1-25, September.
    14. Fei, Liguo & Wang, Yanqing, 2022. "Demand prediction of emergency materials using case-based reasoning extended by the Dempster-Shafer theory," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    15. Svetla Stoilova, 2020. "An Integrated Multi-Criteria and Multi-Objective Optimization Approach for Establishing the Transport Plan of Intercity Trains," Sustainability, MDPI, vol. 12(2), pages 1-24, January.
    16. Mou, Shandong & Robb, David J. & DeHoratius, Nicole, 2018. "Retail store operations: Literature review and research directions," European Journal of Operational Research, Elsevier, vol. 265(2), pages 399-422.
    17. Saha, Subrata & Chatterjee, Debajyoti & Sarkar, Biswajit, 2021. "The ramification of dynamic investment on the promotion and preservation technology for inventory management through a modified flower pollination algorithm," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    18. Ling Gai & Ying Jin & Binyuan Zhang, 2022. "An integrated method for hybrid distribution with estimation of demand matching degree," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2782-2808, November.
    19. Vivek Agrawal & Rajendra P. Mohanty & Sucheta Agarwal & Jitendra Kumar Dixit & Anand M. Agrawal, 2023. "Analyzing critical success factors for sustainable green supply chain management," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(8), pages 8233-8258, August.
    20. Jingci Xie & Jianjian Liu & Xin Huo & Qingchun Meng & Mengyu Chu, 2021. "Fresh Food Dual-Channel Supply Chain Considering Consumers’ Low-Carbon and Freshness Preferences," Sustainability, MDPI, vol. 13(11), pages 1-29, June.

    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:cejnor:v:31:y:2023:i:1:d:10.1007_s10100-022-00811-7. 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.