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Sustainable Inventory Managements for Non-Instantaneous Deteriorating Items: Preservation Technology and Green Technology Approaches with Advanced Purchase Discounts and Joint Emission Regulations

Author

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  • Shun-Po Chiu

    (Department of Information Management and Graduate School of Information Management, Vanung University, Chung Li 320313, Taiwan)

  • Jui-Jung Liao

    (Department of Business Administration, Chihlee University of Technology, Banqiao District, New Taipei City 22050, Taiwan)

  • Sung-Lien Kang

    (Department of Information Management, Chihlee University of Technology, Banqiao District, New Taipei City 22050, Taiwan)

  • Hari Mohan Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan
    Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy)

  • Shy-Der Lin

    (Department of Applied Mathematics and Business Administration, Chung Yuan Christian University, Chung Li 320314, Taiwan)

Abstract

The present article aims to determine the green economic policies of an inventory model for non-instantaneous deteriorating items under practical scenarios. These scenarios involve specific maximum lifetimes for items with deteriorations controllable through investments in preservation technologies, which can affect the period without deterioration. Additionally, carbon is emitted due to energy-related costs, prompting retailers to invest in green technology investments to reduce carbon emissions concurrently under the carbon tax policy and the carbon cap-and-trade policy simultaneously. Meanwhile, when a retailer is required to make a prepayment, the purchase discount policy is contingent on the number of installments offered. This means that the retailer prepays off the entire purchasing cost with a single installment, thereby receiving a maximum percentage of price discount. Otherwise, the retailer prepays a certain fraction of the purchasing cost with multiple installments, and the percentage of the price discount will be contingent on the number of n identical installments. In this context, we present theoretical results for optimal solutions, and a salient algorithm is presented, which is derived from these theoretical findings within a sustainable inventory system. To better illustrate the proposed mathematical problems, several numerical examples are presented, followed by sensitivity analysis for different scenarios.

Suggested Citation

  • Shun-Po Chiu & Jui-Jung Liao & Sung-Lien Kang & Hari Mohan Srivastava & Shy-Der Lin, 2024. "Sustainable Inventory Managements for Non-Instantaneous Deteriorating Items: Preservation Technology and Green Technology Approaches with Advanced Purchase Discounts and Joint Emission Regulations," Sustainability, MDPI, vol. 16(16), pages 1-41, August.
    • Handle: RePEc:gam:jsusta:v:16:y:2024:i:16:p:6805-:d:1452580
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    References listed on IDEAS

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    1. Li, Guiping & He, Xiuli & Zhou, Jing & Wu, Hao, 2019. "Pricing, replenishment and preservation technology investment decisions for non-instantaneous deteriorating items," Omega, Elsevier, vol. 84(C), pages 114-126.
    2. Hua, Guowei & Cheng, T.C.E. & Wang, Shouyang, 2011. "Managing carbon footprints in inventory management," International Journal of Production Economics, Elsevier, vol. 132(2), pages 178-185, August.
    3. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    4. Chandan Mahato & Gour Chandra Mahata, 2021. "Optimal inventory policies for deteriorating items with expiration date and dynamic demand under two-level trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 994-1017, December.
    5. 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.
    6. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    7. Haoxuan Yu, 2023. "Mining waste: curb risks to people and the environment," Nature, Nature, vol. 615(7953), pages 586-586, March.
    8. 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.
    9. 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).
    10. Daryanto, Yosef & Wee, Hui Ming & Astanti, Ririn Diar, 2019. "Three-echelon supply chain model considering carbon emission and item deterioration," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 368-383.
    11. Umakanta Mishra & Jacobo Tijerina-Aguilera & Sunil Tiwari & Leopoldo Eduardo Cárdenas-Barrón, 2018. "Retailer’s Joint Ordering, Pricing, and Preservation Technology Investment Policies for a Deteriorating Item under Permissible Delay in Payments," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-14, February.
    12. Tapan Kumar Datta, 2017. "Effect of Green Technology Investment on a Production-Inventory System with Carbon Tax," Advances in Operations Research, Hindawi, vol. 2017, pages 1-12, December.
    13. 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.
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