IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i23p9087-d989371.html
   My bibliography  Save this article

Pythagorean Fuzzy Storage Capacity with Controllable Carbon Emission Incorporating Green Technology Investment on a Two-Depository System

Author

Listed:
  • Gudivada Durga Bhavani

    (Department of Mathematics, National Institute of Technology Puducherry, Karaikal 609609, India)

  • Ieva Meidute-Kavaliauskiene

    (Research Group on Logistics and Defense Technology Management, General Jonas Žemaitis Military Academy of Lithuania, Silo St. 5A, 10332 Vilnius, Lithuania)

  • Ghanshaym S. Mahapatra

    (Department of Mathematics, National Institute of Technology Puducherry, Karaikal 609609, India)

  • Renata Činčikaitė

    (Research Group on Logistics and Defense Technology Management, General Jonas Žemaitis Military Academy of Lithuania, Silo St. 5A, 10332 Vilnius, Lithuania)

Abstract

Global warming is mainly caused by carbon emissions. Currently, fewer countries are concentrating on reducing carbon emissions. The primary strategy utilized by numerous countries to achieve carbon emissions reduction is the carbon tax policy. With this in mind, a sustainable two-warehouse inventory model was taken carbon tax into account for a controllable carbon emissions rate by investing in green technology initiatives under uncertain emission and cost parameters. The globe is currently experiencing an eco-friendly period. Many individuals are interested in purchasing natural or herbal items since they are made from natural sources and do not affect the environment. The demand for products made with herbal or natural ingredients is considered eco-friendly demand. This study examines a two-warehouse inventory model of deteriorating commodities with price and marketing-dependent eco-friendly demand. The inventory system is presented to handle the inventory in the depository with last-in-first-out and first-in-first-out strategies. After comparing both the policies under deterioration rate and holding cost, this study recommended a suitable dispatch policy. Interval-valued numbers and fuzzy numbers are the mathematical techniques that deal with uncertainties, so this model’s emission and cost parameters are taken as interval-valued numbers, and the storage capacity of the owned warehouse is a Pythagorean fuzzy number. The optimal solution for the two-warehouse inventory system is evaluated by taking the parametric form of interval-valued cost parameters and the new concept of the ranking function of triangular Pythagorean fuzzy numbers. Numerical results prove that emissions are reduced by 87% under green technology investment in both policies. As a consequence, in the FIFO policy, the total cost of the two-warehouse inventory system decreases by 34.45% and cycle length increases by 5.72%, and in the LIFO policy, the total cost of the two-warehouse inventory system decreases by 34.42% and cycle length increases by 11.19%. Sensitivity analysis of the key parameters has been performed to study the effect of various parameters on the optimal solution.

Suggested Citation

  • Gudivada Durga Bhavani & Ieva Meidute-Kavaliauskiene & Ghanshaym S. Mahapatra & Renata Činčikaitė, 2022. "Pythagorean Fuzzy Storage Capacity with Controllable Carbon Emission Incorporating Green Technology Investment on a Two-Depository System," Energies, MDPI, vol. 15(23), pages 1-34, November.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:23:p:9087-:d:989371
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/23/9087/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/15/23/9087/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Chandra Jaggi & Aditi Khanna & Priyanka Verma, 2011. "Two-warehouse partial backlogging inventory model for deteriorating items with linear trend in demand under inflationary conditions," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1185-1196.
    3. Chung-Yuan Dye & Chih-Te Yang & Chi-Chuan Wu, 2018. "Joint dynamic pricing and preservation technology investment for an integrated supply chain with reference price effects," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(6), pages 811-824, June.
    4. Wu, Kun-Shan & Ouyang, Liang-Yuh & Yang, Chih-Te, 2006. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging," International Journal of Production Economics, Elsevier, vol. 101(2), pages 369-384, June.
    5. G. S. Mahapatra & T. K. Mandal, 2012. "Posynomial Parametric Geometric Programming with Interval Valued Coefficient," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 120-132, July.
    6. Lee, Chun Chen & Hsu, Shu-Lu, 2009. "A two-warehouse production model for deteriorating inventory items with time-dependent demands," European Journal of Operational Research, Elsevier, vol. 194(3), pages 700-710, May.
    7. Pasandideh, Seyed Hamid Reza & Niaki, Seyed Taghi Akhavan & Nobil, Amir Hossein & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "A multiproduct single machine economic production quantity model for an imperfect production system under warehouse construction cost," International Journal of Production Economics, Elsevier, vol. 169(C), pages 203-214.
    8. Chunming Xu & Daozhi Zhao & Jie Min & Jiaqin Hao, 2021. "An inventory model for nonperishable items with warehouse mode selection and partial backlogging under trapezoidal-type demand," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(4), pages 744-763, March.
    9. 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.
    10. Ata Allah Taleizadeh & Bita Hazarkhani & Ilkyeong Moon, 2020. "Joint pricing and inventory decisions with carbon emission considerations, partial backordering and planned discounts," Annals of Operations Research, Springer, vol. 290(1), pages 95-113, July.
    11. Yosef Daryanto & Hui-Ming Wee & Kuo-Hsing Wu, 2021. "Revisiting sustainable EOQ model considering carbon emission," International Journal of Manufacturing Technology and Management, Inderscience Enterprises Ltd, vol. 35(1), pages 1-11.
    12. Aditya Shastri & S.R. Singh & Dharmendra Yadav & Shalley Gupta, 2014. "Supply chain management for two-level trade credit financing with selling price dependent demand under the effect of preservation technology," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 7(6), pages 695-718.
    13. Alberto Cambini & Laura Martein, 2009. "Generalized Convexity and Optimization," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-70876-6, December.
    14. Haolun Wang & Faming Zhang & Kifayat Ullah, 2022. "Waste Clothing Recycling Channel Selection Using a CoCoSo-D Method Based on Sine Trigonometric Interaction Operational Laws with Pythagorean Fuzzy Information," Energies, MDPI, vol. 15(6), pages 1-28, March.
    15. Barun Khara & Jayanta Kumar Dey & Shyamal Kumar Mondal, 2021. "An integrated imperfect production system with advertisement dependent demand using branch and bound technique," Flexible Services and Manufacturing Journal, Springer, vol. 33(2), pages 508-546, June.
    16. Christian Howard & Johan Marklund & Tarkan Tan & Ingrid Reijnen, 2015. "Inventory Control in a Spare Parts Distribution System with Emergency Stocks and Pipeline Information," Manufacturing & Service Operations Management, INFORMS, vol. 17(2), pages 142-156, May.
    17. Jia Shu & Ting Wu & Kaike Zhang, 2015. "Warehouse location and two-echelon inventory management with concave operating cost," International Journal of Production Research, Taylor & Francis Journals, vol. 53(9), pages 2718-2729, May.
    18. Asim Paul & Magfura Pervin & Sankar Kumar Roy & Nelson Maculan & Gerhard-Wilhelm Weber, 2022. "A green inventory model with the effect of carbon taxation," Annals of Operations Research, Springer, vol. 309(1), pages 233-248, February.
    19. Chandra K. Jaggi & Priyanka Verma, 2010. "A deterministic order level inventory model for deteriorating items with two storage facilities under FIFO dispatching policy," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 3(3), pages 265-278.
    20. Ishii, Hiroaki & Nose, Toyokazu, 1996. "Perishable inventory control with two types of customers and different selling prices under the warehouse capacity constraint," International Journal of Production Economics, Elsevier, vol. 44(1-2), pages 167-176, June.
    21. Bhunia, A.K. & Jaggi, Chandra K. & Sharma, Anuj & Sharma, Ritu, 2014. "A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1125-1137.
    22. Beata Milewska & Dariusz Milewski, 2022. "Implications of Increasing Fuel Costs for Supply Chain Strategy," Energies, MDPI, vol. 15(19), pages 1-14, September.
    23. Dye, Chung-Yuan & Ouyang, Liang-Yuh & Hsieh, Tsu-Pang, 2007. "Deterministic inventory model for deteriorating items with capacity constraint and time-proportional backlogging rate," European Journal of Operational Research, Elsevier, vol. 178(3), pages 789-807, May.
    24. Cheng Che & Huixian Zheng & Xin Geng & Yi Chen & Xiaoguang Zhang, 2022. "Research on Carbon Emission Reduction Investment Decision of Power Energy Supply Chain—Based on the Analysis of Carbon Trading and Carbon Subsidy Policies," Energies, MDPI, vol. 15(17), pages 1-20, August.
    25. Rong, M. & Mahapatra, N.K. & Maiti, M., 2008. "A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time," European Journal of Operational Research, Elsevier, vol. 189(1), pages 59-75, August.
    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. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    2. Bhunia, A.K. & Shaikh, Ali Akbar, 2015. "An application of PSO in a two-warehouse inventory model for deteriorating item under permissible delay in payment with different inventory policies," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 831-850.
    3. M. Palanivel & R. Uthayakumar, 2016. "Two-warehouse inventory model for non-instantaneous deteriorating items with partial backlogging and inflation over a finite time horizon," OPSEARCH, Springer;Operational Research Society of India, vol. 53(2), pages 278-302, June.
    4. Yu, Jonas C.P., 2019. "Optimizing a two-warehouse system under shortage backordering, trade credit, and decreasing rental conditions," International Journal of Production Economics, Elsevier, vol. 209(C), pages 147-155.
    5. Md. Al-Amin Khan & Ali Akbar Shaikh & Gobinda Chandra Panda & Asoke Kumar Bhunia & Ioannis Konstantaras, 2020. "Non-instantaneous deterioration effect in ordering decisions for a two-warehouse inventory system under advance payment and backlogging," Annals of Operations Research, Springer, vol. 289(2), pages 243-275, June.
    6. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Khanna, Aditi & Jaggi, Chandra K., 2016. "Impact of trade credit and inflation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment," International Journal of Production Economics, Elsevier, vol. 176(C), pages 154-169.
    7. Vandana & A. K. Das, 2022. "Two-warehouse supply chain model under preservation technology and stochastic demand with shortages," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1587-1612, December.
    8. Liao, Jui-Jung & Chung, Kun-Jen & Huang, Kuo-Nan, 2013. "A deterministic inventory model for deteriorating items with two warehouses and trade credit in a supply chain system," International Journal of Production Economics, Elsevier, vol. 146(2), pages 557-565.
    9. Bhunia, A.K. & Jaggi, Chandra K. & Sharma, Anuj & Sharma, Ritu, 2014. "A two-warehouse inventory model for deteriorating items under permissible delay in payment with partial backlogging," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1125-1137.
    10. Jonas C.P. Yu & Kung-Jeng Wang & Yu-Siang Lin, 2016. "Managing dual warehouses with an incentive policy for deteriorating items," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(3), pages 586-602, February.
    11. He, Yong & Wang, Shou-Yang & Lai, K.K., 2010. "An optimal production-inventory model for deteriorating items with multiple-market demand," European Journal of Operational Research, Elsevier, vol. 203(3), pages 593-600, June.
    12. Chandan Mahato & Gour Chandra Mahata, 2023. "Sustainable partial backordering inventory model under linked-to-order credit policy and all-units discount with capacity constraint and carbon emissions," Flexible Services and Manufacturing Journal, Springer, vol. 35(3), pages 896-944, September.
    13. Md. Abdul Hakim & Ibrahim M. Hezam & Adel Fahad Alrasheedi & Jeonghwan Gwak, 2022. "Pricing Policy in an Inventory Model with Green Level Dependent Demand for a Deteriorating Item," Sustainability, MDPI, vol. 14(8), pages 1-16, April.
    14. M. Palanivel & R. Uthayakumar, 2015. "Finite horizon EOQ model for non-instantaneous deteriorating items with price and advertisement dependent demand and partial backlogging under inflation," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1762-1773, July.
    15. Pal, Shilpi & Mahapatra, G.S. & Samanta, G.P., 2015. "A production inventory model for deteriorating item with ramp type demand allowing inflation and shortages under fuzziness," Economic Modelling, Elsevier, vol. 46(C), pages 334-345.
    16. Chandra K. Jaggi & Sunil Tiwari & Satish K. Goel, 2017. "Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand and two storage facilities," Annals of Operations Research, Springer, vol. 248(1), pages 253-280, January.
    17. Wutthisirisart, Phichet & Sir, Mustafa Y. & Noble, James S., 2015. "The two-warehouse material location selection problem," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 780-789.
    18. Asoke Kumar Bhunia & Ali Akbar Shaikh, 2016. "Investigation of two-warehouse inventory problems in interval environment under inflation via particle swarm optimization," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 22(2), pages 160-179, March.
    19. Chandan Mahato & Gour Chandra Mahata, 2023. "Optimal ordering policy under order-size dependent trade credit and complete backlogging derived algebraically," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 420-444, March.
    20. Pahl, Julia & Voß, Stefan, 2014. "Integrating deterioration and lifetime constraints in production and supply chain planning: A survey," European Journal of Operational Research, Elsevier, vol. 238(3), pages 654-674.

    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:gam:jeners:v:15:y:2022:i:23:p:9087-:d:989371. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.