IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i5p495-d507575.html
   My bibliography  Save this article

Optimizing a Sustainable Supply Chain Inventory Model for Controllable Deterioration and Emission Rates in a Greenhouse Farm

Author

Listed:
  • Umakanta Mishra

    (Department of Business Administration, Soochow University, 56 Section 1, Kuei-Yang Street, Taipei 10048, Taiwan
    Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India)

  • Abu Hashan Md Mashud

    (Department of Mathematics, Hajee Mohammad Danesh Science and Technology University, Dinajpur 5200, Bangladesh)

  • Ming-Lang Tseng

    (Institute of Innovation and Circular Economy, Asia University, Taichung City 41354, Taiwan
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung City 40402, Taiwan
    Faculty of Economic and Management, University Kebangsaan Malaysia, Bangi 43600, Malaysia)

  • Jei-Zheng Wu

    (Department of Business Administration, Soochow University, 56 Section 1, Kuei-Yang Street, Taipei 10048, Taiwan)

Abstract

This study investigated how greenhouse managers should invest in preservation and green technologies and introduce trade credit to increase their profits. We propose a supply chain inventory model with controllable deterioration and emission rates under payment schemes for shortage and surplus, where demand depends on price and trade credit. Carbon emissions and deterioration are factors affecting global warming, and many greenhouse managers have focused on reducing carbon emissions. Carbon caps and tax-based incentives have been used in many greenhouses to achieve such reduction. Because of the importance of reducing carbon emissions for developing a green supply chain, various studies have investigated how firms deal with carbon emission constraints. In this continuation, we have used green technology to curb the excessive emissions from the environment or make it clean from CO 2 . In a seller–buyer relationship, the seller can offer a trade credit period to the buyer to manage stock and stimulate demand. Deterioration may become a challenge for most firms as they are under time constraints control, and preservation technology could help. This study proposes three novel inventory strategies for a sustainable supply chain (full backorder, partial backorder, and no backorder), linking all these important issues. The solution optimizes total annual profit for inventory shortage or surplus. We conducted a numerical study with three examples to evaluate the model’s authenticity and effectiveness and demonstrate the solution technique. The deterioration and emission rates can be included in a trade credit policy to increase greenhouse profits. The results suggest that greenhouse managers could apply the proposed model to manage real-world situations.

Suggested Citation

  • Umakanta Mishra & Abu Hashan Md Mashud & Ming-Lang Tseng & Jei-Zheng Wu, 2021. "Optimizing a Sustainable Supply Chain Inventory Model for Controllable Deterioration and Emission Rates in a Greenhouse Farm," Mathematics, MDPI, vol. 9(5), pages 1-23, February.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:495-:d:507575
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/5/495/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/9/5/495/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Liang Lu & Thomas Reardon & David Zilberman, 2016. "Supply Chain Design and Adoption of Indivisible Technology," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 98(5), pages 1419-1431.
    3. Johari, Maryam & Hosseini-Motlagh, Seyyed-Mahdi & Nematollahi, Mohammadreza & Goh, Mark & Ignatius, Joshua, 2018. "Bi-level credit period coordination for periodic review inventory system with price-credit dependent demand under time value of money," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 270-291.
    4. Shayan Tavakoli & Ata Allah Taleizadeh, 2017. "An EOQ model for decaying item with full advanced payment and conditional discount," Annals of Operations Research, Springer, vol. 259(1), pages 415-436, December.
    5. Pourmohammad Zia, Nadia & Taleizadeh, Ata Allah, 2015. "A lot-sizing model with backordering under hybrid linked-to-order multiple advance payments and delayed payment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 19-37.
    6. 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.
    7. Xiaoxue Du & Liang Lu & Thomas Reardon & David Zilberman, 2016. "Economics of Agricultural Supply Chain Design: A Portfolio Selection Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 98(5), pages 1377-1388.
    8. Gao Xiang Lou & Hai Yang Xia & Jie Qiong Zhang & Ti Jun Fan, 2015. "Investment Strategy of Emission-Reduction Technology in a Supply Chain," Sustainability, MDPI, vol. 7(8), pages 1-25, August.
    9. Chen, Sheng-Chih & Teng, Jinn-Tsair, 2015. "Inventory and credit decisions for time-varying deteriorating items with up-stream and down-stream trade credit financing by discounted cash flow analysis," European Journal of Operational Research, Elsevier, vol. 243(2), pages 566-575.
    10. Ata Allah Taleizadeh & Shayan Tavakoli & Luis Augusto San-José, 2018. "A lot sizing model with advance payment and planned backordering," Annals of Operations Research, Springer, vol. 271(2), pages 1001-1022, December.
    11. Dye, Chung-Yuan & Yang, Chih-Te, 2015. "Sustainable trade credit and replenishment decisions with credit-linked demand under carbon emission constraints," European Journal of Operational Research, Elsevier, vol. 244(1), pages 187-200.
    12. B.C. Giri & T. Maiti, 2013. "Supply chain model with price- and trade credit-sensitive demand under two-level permissible delay in payments," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 937-948.
    13. Zilberman, David & Lu, Liang & Reardon, Thomas, 2019. "Innovation-induced food supply chain design," Food Policy, Elsevier, vol. 83(C), pages 289-297.
    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. Ata Allah Taleizadeh & Sara Tavassoli & Arijit Bhattacharya, 2020. "Inventory ordering policies for mixed sale of products under inspection policy, multiple prepayment, partial trade credit, payments linked to order quantity and full backordering," Annals of Operations Research, Springer, vol. 287(1), pages 403-437, April.
    2. Arash Sepehri & Umakanta Mishra & Ming-Lang Tseng & Biswajit Sarkar, 2021. "Joint Pricing and Inventory Model for Deteriorating Items with Maximum Lifetime and Controllable Carbon Emissions under Permissible Delay in Payments," Mathematics, MDPI, vol. 9(5), pages 1-27, February.
    3. A. Ford Ramsey & Barry Goodwin & Mildred Haley, 2021. "Labor Dynamics and Supply Chain Disruption in Food Manufacturing," NBER Chapters, in: Risks in Agricultural Supply Chains, National Bureau of Economic Research, Inc.
    4. Ping Ruan & Yung-Fu Huang & Ming-Wei Weng, 2022. "Impact of COVID-19 on Supply Chains: A Hybrid Trade Credit Policy," Mathematics, MDPI, vol. 10(8), pages 1-22, April.
    5. Lin Feng & Konstantina Skouri & Wan-Chih Wang & Jinn-Tsair Teng, 2022. "Optimal selling price, replenishment cycle and payment time among advance, cash, and credit payments from the seller’s perspective," Annals of Operations Research, Springer, vol. 315(2), pages 791-812, August.
    6. Mamta Gupta & Sunil Tiwari & Chandra K. Jaggi, 2020. "Retailer’s ordering policies for time-varying deteriorating items with partial backlogging and permissible delay in payments in a two-warehouse environment," Annals of Operations Research, Springer, vol. 295(1), pages 139-161, December.
    7. Ruihai Li & Jinn-Tsair Teng & Yingfei Zheng, 2019. "Optimal credit term, order quantity and selling price for perishable products when demand depends on selling price, expiration date, and credit period," Annals of Operations Research, Springer, vol. 280(1), pages 377-405, September.
    8. Palatnik, Ruslana Rachel & Freer, Mikhail & Levin, Mark & Golberg, Alexander & Zilberman, David, 2023. "Algae-Based Two-Stage Supply Chain with Co-Products," Ecological Economics, Elsevier, vol. 207(C).
    9. Raj, Praveen Vijaya Raj Pushpa & Nagarajan, Bagathsingh & Schoenherr, Tobias & Ramkumar, M., 2023. "A comparative investigation of a seller’s disaster payment period policy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
    10. Yan Shi & Zhiyong Zhang & Sunil Tiwari & Zhiwen Tao, 2022. "Retailer's optimal strategy for a perishable product with increasing demand under various payment schemes," Annals of Operations Research, Springer, vol. 315(2), pages 899-929, August.
    11. Yu-Chung Tsao & Aisyah Dewi Muthi’ah & Thuy-Linh Vu & Niniet Indah Arvitrida, 2021. "Supply chain network design under advance-cash-credit payment," Annals of Operations Research, Springer, vol. 305(1), pages 251-272, October.
    12. Li, Ruihai & Skouri, Konstantina & Teng, Jinn-Tsair & Yang, Wen-Goang, 2018. "Seller's optimal replenishment policy and payment term among advance, cash, and credit payments," International Journal of Production Economics, Elsevier, vol. 197(C), pages 35-42.
    13. Wu, Jiang & Chang, Chun-Tao & Teng, Jinn-Tsair & Lai, Kuei-Kuei, 2017. "Optimal order quantity and selling price over a product life cycle with deterioration rate linked to expiration date," International Journal of Production Economics, Elsevier, vol. 193(C), pages 343-351.
    14. Li, Ruihai & Chan, Ya-Lan & Chang, Chun-Tao & Cárdenas-Barrón, Leopoldo Eduardo, 2017. "Pricing and lot-sizing policies for perishable products with advance-cash-credit payments by a discounted cash-flow analysis," International Journal of Production Economics, Elsevier, vol. 193(C), pages 578-589.
    15. Mu, Xiuqing & Kang, Kai & Zhang, Jing, 2022. "Dual-channel supply chain coordination considering credit sales competition," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    16. Al-Amin Khan, Md. & Shaikh, Ali Akbar & Konstantaras, Ioannis & Bhunia, Asoke Kumar & Cárdenas-Barrón, Leopoldo Eduardo, 2020. "Inventory models for perishable items with advanced payment, linearly time-dependent holding cost and demand dependent on advertisement and selling price," International Journal of Production Economics, Elsevier, vol. 230(C).
    17. Wang Luqi & Zhang Ruijie & Chen Zhijian & Chen Mingyao, 2019. "Inventory Policy for a Deteriorating Item with Time-Varying Demand Under Trade Credit and Inflation," Journal of Systems Science and Information, De Gruyter, vol. 7(2), pages 115-133, April.
    18. Yong Zha & Kehong Chen & Xiaohang Yue & Yugang Yu & Samar Mukhopadhyay, 2019. "Trade credit contract in the presence of retailer investment opportunity," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(4), pages 283-296, June.
    19. Feng, Lin & Chan, Ya-Lan, 2019. "Joint pricing and production decisions for new products with learning curve effects under upstream and downstream trade credits," European Journal of Operational Research, Elsevier, vol. 272(3), pages 905-913.
    20. Ata Allah Taleizadeh & Shayan Tavakoli & Luis Augusto San-José, 2018. "A lot sizing model with advance payment and planned backordering," Annals of Operations Research, Springer, vol. 271(2), pages 1001-1022, December.

    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:jmathe:v:9:y:2021:i:5:p:495-:d:507575. 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.