価格およびグリーン度に感応する需要の下での、保存投資・炭素排出コスト・トレードクレジットを伴う劣化品の持続可能在庫モデル
A sustainable inventory model for deteriorating items with preservation investment, carbon-emission costs and trade credit under price and green sensitive demand (原題)
Sachin Kumar Verma, Dr. Preeti Singhwal, Ajender Kumar Malik, Jitendra Kaushik
🤖 gxceed AI 要約
日本語
劣化品の在庫管理に、保存技術投資・炭素排出コスト・支払猶予(トレードクレジット)を同時に組み込んだ持続可能在庫モデルを構築。需要は販売価格と製品のグリーン度に感応し、欠品は一部バックログされる。欠品開始点と保存投資額を決定変数とし、総平均費用を最小化。凸性を解析的(正定値ヘッセ行列)および図示で確認し、3つの信用取引ケースを数値例と±20%感度分析で検証した。
English
This study builds a sustainable inventory model for deteriorating items that jointly optimizes preservation-technology investment, shortage timing, carbon-emission costs and trade credit, with demand sensitive to selling price and product greenness. Total average cost is minimized over the shortage point and preservation investment, with convexity proven analytically and graphically. Three trade-credit cases are validated via numerical examples and ±20% sensitivity analysis. Moderate preservation investment plus a suitable credit period lowers total cost while supporting sustainability.
Unofficial AI-generated summary based on the public title and abstract. Not an official translation.
📝 gxceed 編集解説 — Why this matters
日本のGX文脈において
日本企業のGX実務では、Scope 3や製品カーボンフットプリントの管理と在庫・調達オペレーションの統合が課題となっている。本論文は炭素コストを在庫費用に内部化する数理枠組みを提示し、SSBJ開示やサプライチェーン排出削減の意思決定に示唆を与えるが、制度・開示要件そのものを扱うものではない。
In the global GX context
Global disclosure regimes (ISSB/CSRD) increasingly push firms to internalize carbon costs into operational decisions, yet inventory theory rarely links carbon pricing with preservation and trade-credit levers. This paper offers a tractable optimization framework that could inform Scope 3 reduction strategies and carbon-adjusted supply-chain planning, though it remains a theoretical operations-research contribution rather than an empirical disclosure study.
👥 読者別の含意
🔬研究者:在庫理論と炭素コストを統合する数理モデルに関心のある研究者向け。凸性証明と感度分析の手法が参考になる。
🏢実務担当者:炭素価格を在庫・保存投資の意思決定に内部化したいサプライチェーン担当者に、価格・補充・信用期間の設計指針を提供。
🏛政策担当者:炭素価格が企業の在庫・保存行動に与える影響を検討する際の理論的基礎として参考になるが、直接的な政策含意は限定的。
📄 Abstract(原文)
Deteriorating products impose large economic and environmental costs, yet inventory models rarely optimise preservation effort and shortage timing together while accounting for carbon costs, trade credit and environmentally aware demand. This study develops a sustainable inventory model for deteriorating items in which demand is sensitive to the selling price and to the product’s green degree, deterioration is reduced through preservation-technology investment, shortages are partially backlogged, and a permissible delay in payment (trade credit) applies. Carbon-emission costs linked to ordering, holding and preservation are charged through a carbon-price policy. The total average cost is minimised over the shortage point µ and the preservation investment ξ using Mathematica, with convexity established analytically (a positive-definite Hessian) and graphically. Three trade-credit cases are analysed and validated through numerical examples and an extensive ±20% sensitivity analysis. The results show that the total cost is most sensitive to the demand and pricing parameters and to the shortage cost, and that a moderate preservation investment combined with a suitably chosen trade-credit period lowers total cost while supporting sustainability. Managerial guidance is drawn on pricing, replenishment timing, preservation spend and credit-term design.
🔗 Provenance — このレコードを発見したソース
- openalex https://doi.org/10.1007/s43621-026-04675-8first seen 2026-09-23 04:56:59
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