Optimum sustainable inventory management with backorder and deterioration under controllable carbon emissions

Umakanta Mishra, Jei Zheng Wu, Biswajit Sarkar

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84 Citations (Scopus)


Reducing carbon emissions is crucial in the development of a green supply chain. Greenhouse firms regulate carbon emission constraints to achieve sustainable supply chains. Deterioration can be controlled by utilizing a preservation technology investment in most of greenhouse firms as they have a specific (summer) time. Despite the importance of these concerns, few researches have been done on the effect of carbon emissions on the lot sizing sustainable inventory management. To fill this gap, this study develops a carbon cap and tax-regulated sustainable inventory management for a buyer utilizing a linear and non-linear price-dependent demand. This is the first study to explore sustainable inventory management under controllable carbon emissions from a greenhouse farm. An investment in preservation and green technology efforts under different backorder situations is needed. This model furnishes both theoretical and numerical solutions to determine optimal strategies relating to preservation technology (PRT) and green technology (GRT) investment, selling price, cycle time, and the fraction period length for sustainable inventory management. Several numerical examples are presented to validate all sustainable economic order quantity models. This problem is solved by theoretical and analytical methods. The results of this paper, in a controllable sustainable inventory management partial backordering case, exhibit a justifiable amount of profit compared with other backordering cases. The results of this paper are sustainable inventory management in the carbon tax and cap partial backlogging case has a better justifiable profit with the highest cycle time and the lowest value of the fraction length period as well as the lower green technology investment cost compared with other models. Finally, sensitivity analysis is discussed in relation to the managerial implications of the optimal feasible solution with respect to key parameters.

Original languageEnglish
Article number123699
JournalJournal of Cleaner Production
Publication statusPublished - 2021 Jan 10

Bibliographical note

Funding Information:
The present investigation is supported under the Soochow University , Taiwan, Postdoctoral Fellowship granted by the Ministry of Science and Technology, Taiwan ( MOST 106-2218-E-031-001 , MOST107-2221-E-031-002 ). The work of the Corresponding author Prof. Biswajit Sarkar is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIT) ( NRF-2020R1F1A1064460 ).

Publisher Copyright:
© 2020 Elsevier Ltd

All Science Journal Classification (ASJC) codes

  • Renewable Energy, Sustainability and the Environment
  • Environmental Science(all)
  • Strategy and Management
  • Industrial and Manufacturing Engineering


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