An integrated lot-sizing policy for the inventory management of constrained multi-level supply chains: null-space method

References

• Amjadian, A., & Gharaei, A. (2021). An integrated reliable five-level closed-loop supply chain with multi-stage products under quality control and green policies: Generalised outer approximation with exact penalty. International Journal of Systems Science: Operations & Logistics, 1–21. https://doi.org/10.1080/23302674.2021.1919336
   Google Scholar
• Askari, R., Sebt, M. V., & Amjadian, A. (23–24 December 2020). A multi-product EPQ model for defective production and inspection with single machine, and operational constraints: Stochastic programming approach. In International conference on logistics and supply chain management (pp. 161–193). Springer, Cham. https://doi.org/10.1007/978-3-030-89743-7_10
   Google Scholar
• Ayoub, N., Elmoshi, E., Seki, H., & Naka, Y. (2009). Evolutionary algorithms approach for integrated bioenergy supply chains optimization. Energy Conversion and Management, 50(12), 2944–2955. https://doi.org/10.1016/j.enconman.2009.07.010
   Web of Science ®Google Scholar
• Barron, Y. (2019). Critical level policy for a production-inventory model with lost sales. International Journal of Production Research, 57(6), 1685–1705. https://doi.org/10.1080/00207543.2018.1504243
   Web of Science ®Google Scholar
• Barron, Y. (2022). The continuous (S, s, Se) inventory model with dual sourcing and emergency orders. European Journal of Operational Research, 301(1), 18–38. https://doi.org/10.1016/j.ejor.2021.09.021
   Web of Science ®Google Scholar
• Boulaksil, Y., Hamdouch, Y., Ghoudi, K., & Fransoo, J. C. (2021). Comparing policies for the stochastic multi-period dual sourcing problem from a supply chain perspective. International Journal of Production Economics, 232, 107923. https://doi.org/10.1016/j.ijpe.2020.107923
   Google Scholar
• Burgos, D., & Ivanov, D. (2021). Food retail supply chain resilience and the COVID-19 pandemic: A digital twin-based impact analysis and improvement directions. Transportation Research Part E: Logistics and Transportation Review, 152, 102412. https://doi.org/10.1016/j.tre.2021.102412
   PubMed Web of Science ®Google Scholar
• Gharaei, A., Hoseini Shekarabi, S. A., & Karimi, M. (2020). Modelling and optimal lot-sizing of the replenishments in constrained, multi-product and bi-objective EPQ models with defective products: Generalised cross decomposition. International Journal of Systems Science: Operations & Logistics, 7(3), 262–274. https://doi.org/10.1080/23302674.2019.1574364
   Google Scholar
• Gharaei, A., Amjadian, A., & Shavandi, A. (2021a). An integrated reliable four-level supply chain with multi-stage products under shortage and stochastic constraints. International Journal of Systems Science: Operations & Logistics, 1–22. https://doi.org/10.1080/23302674.2021.1958023
   Google Scholar
• Gharaei, A., Hoseini Shekarabi, S. A., & Karimi, M. (2021b). Optimal lot-sizing of an integrated EPQ model with partial backorders and re-workable products: An outer approximation. International Journal of Systems Science: Operations & Logistics, 1–17. https://doi.org/10.1080/23302674.2021.2015007
   Google Scholar
• Gharaei, A., Karimi, M., & Hoseini Shekarabi, S. A. (2021c). Vendor-managed inventory for joint replenishment planning in the integrated qualitative supply chains: Generalised benders decomposition under separability approach. International Journal of Systems Science: Operations & Logistics, 1–15. https://doi.org/10.1080/23302674.2021.1962428
   Google Scholar
• Gharaei, A., Hoseini Shekarabi, S. A., Karimi, M., Pourjavad, E., & Amjadian, A. (2021d). An integrated stochastic EPQ model under quality and green policies: Generalised cross decomposition under the separability approach. International Journal of Systems Science: Operations & Logistics, 8(2), 119–131. https://doi.org/10.1080/23302674.2019.1656296
   Google Scholar
• Gharaei, A., Karimi, M., & Hoseini Shekarabi, S. A. (2019b). Joint economic lot-sizing in multi-product multi-level integrated supply chains: Generalized benders decomposition. International Journal of Systems Science: Operations & Logistics, 1–17. https://doi.org/10.1080/23302674.2019.1585595
   Google Scholar
• Gharaei, A., Karimi, M., & Shekarabi, S. A. H. (2019c). An integrated multi-product, multi-buyer supply chain under penalty, green, and quality control polices and a vendor managed inventory with consignment stock agreement: The outer approximation with equality relaxation and augmented penalty algorithm. Applied Mathematical Modelling, 69, 223–254. https://doi.org/10.1016/j.apm.2018.11.035
   Web of Science ®Google Scholar
• Gimenez, C., Van Der Vaart, T., & Van Donk, D. P. (2012). Supply chain integration and performance: The moderating effect of supply complexity. International Journal of Operations & Production Management, 32(5), 583–610. https://doi.org/10.1108/01443571211226506
   Web of Science ®Google Scholar
• Hafshejani, F. K., Valmohammadi, C., & Khakpoor, A. R. (2012). Using genetic algorithm approach to solve a multi-product EPQ model with defective items, rework, and constrained space. Journal of Industrial Engineering International, 8(1), 27. https://doi.org/10.1186/2251-712X-8-27
   Google Scholar
• Hoseini Shekarabi, S. A., Gharaei, A., & Karimi, M. (2019). Modelling and optimal lot-sizing of integrated multi-level multi-wholesaler supply chains under the shortage and limited warehouse space: Generalised outer approximation. International Journal of Systems Science: Operations & Logistics, 6(3), 237–257. https://doi.org/10.1080/23302674.2018.1435835
   Google Scholar
• Jaber, M. Y., & Goyal, S. K. (2008). Coordinating a three-level supply chain with multiple suppliers, a vendor and multiple buyers. International Journal of Production Economics, 116(1), 95–103. https://doi.org/10.1016/j.ijpe.2008.08.001
   Web of Science ®Google Scholar
• Khalifehzadeh, S., Seifbarghy, M., & Naderi, B. (2015). A four-echelon supply chain network design with shortage: Mathematical modeling and solution methods. Journal of Manufacturing Systems, 35, 164–175. https://doi.org/10.1016/j.jmsy.2014.12.002
   Web of Science ®Google Scholar
• Kim, D. Y. (2013). Relationship between supply chain integration and performance. Operations Management Research, 6(1-2), 74–90. https://doi.org/10.1007/s12063-013-0079-0
   Web of Science ®Google Scholar
• Kumar, K., & Aouam, T. (2018). Integrated lot sizing and safety stock placement in a network of production facilities. International Journal of Production Economics, 195, 74–95. https://doi.org/10.1016/j.ijpe.2017.10.006
   Web of Science ®Google Scholar
• Lambert, D. M. (2008). An executive summary of supply chain management. Processes, partnerships, performance. SCMI, sarasota.
   Google Scholar
• Poormoaied, S., Atan, Z., de Kok, T., & Van Woensel, T. (2020). Optimal inventory and timing decisions for emergency shipments. IISE Transactions, 52(8), 904–925. https://doi.org/10.1080/24725854.2019.1697016
   Web of Science ®Google Scholar
• Sadeghi, J., Niaki, S. T. A., Malekian, M. R., & Sadeghi, S. (2016). Optimising multi-item economic production quantity model with trapezoidal fuzzy demand and backordering: Two tuned meta-heuristics. European Journal of Industrial Engineering, 10(2), 170–195. https://doi.org/10.1504/EJIE.2016.075847
   Web of Science ®Google Scholar
• Song, D. P., Dong, J. X., & Xu, J. (2014). Integrated inventory management and supplier base reduction in a supply chain with multiple uncertainties. European Journal of Operational Research, 232(3), 522–536. https://doi.org/10.1016/j.ejor.2013.07.044
   Web of Science ®Google Scholar
• Sun, W., & Yuan, Y. X. (2006). Optimization theory and methods: Nonlinear programming (Vol. 1). Springer Science & Business Media.
   Google Scholar
• Svoboda, J., Minner, S., & Yao, M. (2021). Typology and literature review on multiple supplier inventory control models. European Journal of Operational Research, 293(1), 1–23. https://doi.org/10.1016/j.ejor.2020.11.023
   Web of Science ®Google Scholar
• Taleizadeh, A. A. (2017). Lot-sizing model with advance payment pricing and disruption in supply under planned partial backordering. International Transactions in Operational Research, 24(4), 783–800. https://doi.org/10.1111/itor.12297
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Niaki, S. T. A., & Najafi, A. A. (2010). Multi-product single-machine production system with stochastic scrapped production rate, partial backordering and service level constraint. Journal of Computational and Applied Mathematics, 233(8), 1834–1849. https://doi.org/10.1016/j.cam.2009.09.021
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Sadjadi, S. J., & Niaki, S. T. A. (2011). Multiproduct EPQ model with single machine, backordering and immediate rework process. European Journal of Industrial Engineering, 5(4), 388–411. https://doi.org/10.1504/EJIE.2011.042738
   Web of Science ®Google Scholar
• Taleizadeh, A. A., Safaei, A. Z., Bhattacharya, A., & Amjadian, A. (2022). Online peer-to-peer lending platform and supply chain finance decisions and strategies. Annals of Operations Research, 1–31. https://doi.org/10.1007/s10479-022-04648-w
   Web of Science ®Google Scholar
• Wiengarten, F., Humphreys, P., Cao, G., Fynes, B., & McKittrick, A. (2010). Collaborative supply chain practices and performance: Exploring the key role of information quality. Supply Chain Management: An International Journal, 15(6), 463–473. https://doi.org/10.1108/13598541011080446
   Web of Science ®Google Scholar