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All issues Volume 59 / No 6 (November-December 2025) RAIRO-Oper. Res., 59 6 (2025) 3999-4021 References
Open Access
Issue
RAIRO-Oper. Res.
Volume 59, Number 6, November-December 2025
Page(s) 3999 - 4021
DOI https://doi.org/10.1051/ro/2025053
Published online 28 January 2026
  • M. Alkahtani, Mathematical modelling of inventory and process outsourcing for optimization of supply chain management. Mathematics 10 (2022) 1142. [Google Scholar]
  • R.K. Bachar, S. Bhuniya, S.K. Ghosh and B. Sarkar, Sustainable green production model considering variable demand, partial outsourcing, and rework. AIMS Environ. Sci. 9 (2022) 325–353. [CrossRef] [Google Scholar]
  • R.K. Bachar, S. Bhuniya, S.K. Ghosh, A. AlArjani, E. Attia, M.S. Uddin and B. Sarkar, Product outsourcing policy for a sustainable flexible manufacturing system with reworking and green investment. Math. Biosci. Eng. 20 (2023) 1376–1401. [Google Scholar]
  • A. Baranzini, J. Goldemberg and S. Speck, A future for carbon taxes. Ecol. Econ. 32 (2000) 395–412. [Google Scholar]
  • K.A.V.O.O. Bernard, The effect of outsourcing on supply chain performance at Cadbury Kenya Limited. Int. J. Logist. Procure. Manag. 1 (2019) 123–138. [Google Scholar]
  • A. Bhunia and A. Shaikh, A deterministic inventory model for deteriorating items with selling price dependent demand and three-parameter Weibull distributed deterioration. Int. J. Ind. Eng. Comput. 5 (2014) 497–510. [Google Scholar]
  • S. Bhuniya, S. Pareek and B. Sarkar, A sustainable game strategic supply chain model with multi-factor dependent demand and mark-up under revenue sharing contract. Complex Intell. Syst. 9 (2023) 2101–2128. [CrossRef] [Google Scholar]
  • C. Cheng, Mechanism design for enterprise transportation outsourcing based on combinatorial auction, in 2014 11th International Conference on Service Systems and Service Management (ICSSSM). IEEE (2014) 1–5. [Google Scholar]
  • Y.S.P. Chiu, P.C. Sung and V. Chiu, A two-phase solution approach for a manufacturing-distribution problem with rework, outsourcing, and multi-shipment policy. J. Appl. Eng. Sci. 18 (2020) 505–509. [Google Scholar]
  • M. Ciontescu and S. Treanţă, On some connections between interval-valued variational control problems and the associated inequalities. Results Control Optim. 12 (2023) 100300. [Google Scholar]
  • T.K. Datta, Effect of green technology investment on a production-inventory system with carbon tax. Adv. Oper. Res. 2017 (2017) 4834839. [Google Scholar]
  • S.K. De and G.C. Mahata, An EPQ model for three-layer supply chain with partial backordering and disruption: triangular dense fuzzy lock set approach. Sadhana 44 (2019) 177. [Google Scholar]
  • S.K. De and G.C. Mahata, A production inventory supply chain model with partial backordering and disruption under triangular linguistic dense fuzzy lock set approach. Soft Comput. 24 (2020) 5053–5069. [Google Scholar]
  • S.K. De and G.C. Mahata, Solution of an imperfect-quality EOQ model with backorder under fuzzy lock leadership game approach. Int. J. Intell. Syst. 36 (2021) 421–446. [Google Scholar]
  • B.K. Dey, B. Sarkar, M. Sarkar and S. Pareek, An integrated inventory model involving discrete setup cost reduction, variable safety factor, selling price dependent demand, and investment. RAIRO-Oper. Res. 53 (2019) 39–57. [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  • B.C. Giri and A. Dash, Optimal batch shipment policy for an imperfect production system under price-, advertisement-and green-sensitive demand. J. Manage. Anal. 9 (2022) 86–119. [Google Scholar]
  • C.H. Glock and E.H. Grosse, The impact of controllable production rates on the performance of inventory systems: a systematic review of the literature. Eur. J. Oper. Res. 288 (2021) 703–720. [CrossRef] [Google Scholar]
  • K. Govindan, F. Salehian, H. Kian, S.T. Hosseini and H. Mina, A location-inventory-routing problem to design a circular closed-loop supply chain network with carbon tax policy for achieving circular economy: an augmented epsilon-constraint approach. Int. J. Prod. Econ. (2023) 108771. [Google Scholar]
  • P. Guchhait, M.K. Maiti and M. Maiti, Production-inventory models for a damageable item with variable demands and inventory costs in an imperfect production process. Int. J. Prod. Econ. 144 (2013) 180–188. [Google Scholar]
  • Y. Guo, G. Ye, W. Liu, D. Zhao and S. Treanţă, Solving nonsmooth interval optimization problems based on interval-valued symmetric invexity. Chaos Solitons Fractals 174 (2023) 113834. [Google Scholar]
  • J. Heydari, K. Govindan, H.R.E. Nasab and A.A. Taleizadeh, Coordination by quantity flexibility contract in a two-echelon supply chain system: Effect of outsourcing decisions. Int. J. Prod. Econ. 225 (2020) 107586. [Google Scholar]
  • M.Y. Jaber, C.H. Glock and A.M. El Saadany, Supply chain coordination with emissions reduction incentives. Int. J. Prod. Res. 51 (2013) 69–82. [Google Scholar]
  • M.Y. Jani, M.R. Betheja, U. Chaudhari and B. Sarkar, Effect of future price increase for products with expiry dates and price-sensitive demand under different payment policies. Mathematics 11 (2023) 263. [CrossRef] [Google Scholar]
  • M.A.A. Khan, A.A. Shaikh, I. Konstantaras, A.K. Bhunia and L.E. Cárdenas-Barrón, Inventory models for perishable items with advanced payment, linearly time-dependent holding cost and demand dependent on advertisement and selling price. Int. J. Prod. Econ. 230 (2020) 107804. [CrossRef] [Google Scholar]
  • A. Khanna, P. Gautam and C.K. Jaggi, Inventory modeling for deteriorating imperfect quality items with selling price dependent demand and shortage backordering under credit financing. Int. J. Math. Eng. Manage. Sci. 2 (2017) 110. [Google Scholar]
  • A. Khanna, P. Gautam, A. Hasan and C.K. Jaggi, Inventory and pricing decisions for an imperfect production system with quality inspection, rework and carbon-emissions. Yugoslav J. Oper. Res. 30 (2020) 339–360. [CrossRef] [Google Scholar]
  • A.S.H. Kugele and B. Sarkar, Reducing carbon emissions of a multi-stage smart production for biofuel towards sustainable development. Alexandria Eng. J. 70 (2023) 93–113. [Google Scholar]
  • S. Kumar, S. Sami, S. Agarwal and D. Yadav, Sustainable fuzzy inventory model for deteriorating item with partial backordering along with social and environmental responsibility under the effect of learning. Alexandria Eng. J. 69 (2023) 221–241. [Google Scholar]
  • J. Li, Q. Su and L. Ma, Production and transportation outsourcing decisions in the supply chain under single and multiple carbon policies. J. Clean. Prod. 141 (2017) 1109–1122. [CrossRef] [Google Scholar]
  • T.Y. Lin and B.R. Sarker, A pull system inventory model with carbon tax policies and imperfect quality items. Appl. Math. Modell. 50 (2017) 450–462. [CrossRef] [Google Scholar]
  • C.J. Lu, C.T. Yang and H.F. Yen, Stackelberg game approach for sustainable production-inventory model with collaborative investment in technology for reducing carbon emissions. J. Clean. Prod. 270 (2020) 121963. [CrossRef] [Google Scholar]
  • C.J. Lu, M. Gu, T.S. Lee and C.T. Yang, Impact of carbon emission policy combinations on the optimal production-inventory decisions for deteriorating items. Expert Syst. App. 201 (2022) 117234. [CrossRef] [Google Scholar]
  • G.C. Mahata, A production-inventory model with imperfect production process and partial backlogging under learning considerations in fuzzy random environments. J. Intell. Manuf. 28 (2017) 883–897. [CrossRef] [Google Scholar]
  • P. Mahata and G.C. Mahata, Production and payment policies for an imperfect manufacturing system with discount cash flows analysis in fuzzy random environments. Math. Comput. Modell. Dyn. Syst. 26 (2020) 374–408. [Google Scholar]
  • G.C. Mahata, S.K. De, K. Bhattacharya and S. Maity, Three-echelon supply chain model in an imperfect production system with inspection error, learning effect, and return policy under fuzzy environment. Int. J. Syst. Sci. Oper. Logistics 10 (2023) 1962427. [Google Scholar]
  • F. Mahato, C. Mahato and G.C. Mahata, Sustainable optimal production policies for an imperfect production system with trade credit under different carbon emission regulations. Environ. Dev. Sustain. 25 (2023) 10073–10099. [CrossRef] [Google Scholar]
  • R. Maihami, I. Ghalehkhondabi and E. Ahmadi, Pricing and inventory planning for non-instantaneous deteriorating products with greening investment: a case study in beef industry. J. Clean. Prod. 295 (2021) 126368. [Google Scholar]
  • M. Mishra, S.K. Ghosh and B. Sarkar, Maintaining energy efficiencies and reducing carbon emissions under a sustainable supply chain management. AIMS Environ. Sci. 9 (2022) 603–635. [CrossRef] [Google Scholar]
  • U. Mishra, A.H.M. Mashud, S.K. Roy and M.S. Uddin, The effect of rebate value and selling price-dependent demand for a four-level production manufacturing system. J. Ind. Manage. Optim. 19 (2023) 1367–1394. [CrossRef] [Google Scholar]
  • D. Panda and M. Maiti, Multi-item inventory models with price dependent demand under flexibility and reliability consideration and imprecise space constraint: a geometric programming approach. Math. Comput. Modell. 49 (2009) 1733–1749. [Google Scholar]
  • S. Panda, S. Saha, N.M. Modak and S.S. Sana, A volume flexible deteriorating inventory model with price sensitive demand. Tékhne 15 (2017) 117–123. [Google Scholar]
  • M. Rahaman, S.P. Mondal, S. Alam and S.K. De, A study of a lock fuzzy EPQ model with deterioration and stock and unit selling price-dependent demand using preservation technology. Soft Comput. 26 (2022) 2721–2740. [CrossRef] [Google Scholar]
  • S. Ruidas, M.R. Seikh and P.K. Nayak, An EPQ model with stock and selling price dependent demand and variable production rate in interval environment. Int. J. Syst. Assur. Eng. Manage. 11 (2020) 385–1399. [CrossRef] [Google Scholar]
  • S.S. Sana, S.K. Goyal and K. Chaudhuri, An imperfect production process in a volume flexible inventory model. Int. J. Prod. Econ. 105 (2007) 548–559. [Google Scholar]
  • M. Sarkar and B.D. Chung, Flexible work-in-process production system in supply chain management under quality improvement. Int. J. Prod. Res. 58 (2020) 3821–3838. [CrossRef] [Google Scholar]
  • M. Sarkar, B.K. Dey, B. Ganguly, N. Saxena, D. Yadav and B. Sarkar, The impact of information sharing and bullwhip effects on improving consumer services in dual-channel retailing. J. Retail. Consum. Serv. 73 (2023) 103307. [CrossRef] [Google Scholar]
  • Y. Shen, K. Shen and C. Yang, A production inventory model for deteriorating items with collaborative preservation technology investment under carbon tax. Sustainability 11 (2019) 5027. [CrossRef] [Google Scholar]
  • S.R. Singh and D. Singh, Impact of renewable energy on a flexible production system under preorder and online payment discount facility, in Data Analytics and Artificial Intelligence for Inventory and Supply Chain Management. Singapore: Springer Nature Singapore (2022) 207–223. [Google Scholar]
  • A. Toptal, H. Özlü and D. Konur, Joint decisions on inventory replenishment and emission reduction investment under different emission regulations. Int. J. Prod. Res. 52 (2014) 243–269. [Google Scholar]
  • S. Treanţă, LU-optimality conditions in optimization problems with mechanical work objective functionals. IEEE Trans. Neural Netw. Learn. Syst. 33 (2021) 4971–4978. [Google Scholar]
  • S. Treanţă and M. Ciontescu, On optimal control problems with generalized invariant convex interval-valued functionals. J. Ind. Manage. Optim. 20 (2024) 3317–3336. [Google Scholar]
  • S. Treanţă, P. Mishra and B.B. Upadhyay, Minty variational principle for nonsmooth interval-valued vector optimization problems on Hadamard manifolds. Mathematics 10 (2022) 523. [CrossRef] [Google Scholar]
  • Vandana, S.R. Singh, M. Sarkar and B. Sarkar, Effect of learning and forgetting on inventory model under carbon emission and agile manufacturing. Mathematics 11 (2023) 368. [CrossRef] [Google Scholar]
  • S. Yadav and A. Khanna, Sustainable inventory model for perishable products with expiration date and price reliant demand under carbon tax policy. Process Integr. Optim. Sustain. 5 (2021) 475–486. [CrossRef] [Google Scholar]
  • D. Yadav, R. Singh, A. Kumar and B. Sarkar, Reduction of pollution through sustainable and flexible production by controlling by-products. J. Environ. Inf. 40 (2022). [Google Scholar]
  • D. Yadav, S.R. Singh, S. Kumar and L.E. Cárdenas-Barrón, Manufacturer-retailer integrated inventory model with controllable lead time and service level constraint under the effect of learning-forgetting in setup cost. Sci. Iran. 29 (2022) 800–815. [Google Scholar]
  • D. Yadav, U. Chand, R. Goel and B. Sarkar, Smart production system with random imperfect process, partial backordering, and deterioration in an inflationary environment. Mathematics 11 (2023) 440. [CrossRef] [Google Scholar]
  • H. Zhao, X. Yao, Z. Liu and Q. Yang, Impact of pricing and product information on consumer buying behavior with customer satisfaction in a mediating role. Front. Psychol. (2021) 5016. [Google Scholar]

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