Inventory Optimization with Several Resources

b6c9fc09-5f03-4a8f-ba1a-e6fbdb7de9dc20250115064540702wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON BUSINESS AND ECONOMICS2224-28991109-952610.37394/23207http://wseas.org/wseas/cms.action?id=40161720251720252210.37394/23207.2025.22https://wseas.com/journals/bae/2025.phpInventory Optimization with Several ResourcesTodorStoilovInstitute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, 1113, Acad. G. Bonchev str. bl.2, BULGARIAKrasimiraStoilovaInstitute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, 1113, Acad. G. Bonchev str. bl.2, BULGARIALudmilIlievInstitute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, 1113, Acad. G. Bonchev str. bl.2, BULGARIAInventory optimization is extended with additional constraints that affect production efficiency using estimated inventory. The extension of the inventory problem is in a special formal form with an additional optimization problem. The latter is aimed at minimizing production costs while using optimal volumes of material stocks. Such integration of inventory and production is formalized through a bi-level optimization problem. The case of simultaneous delivery of different types of goods is strongly related to the production process of final goods. A bi-level optimization problem is numerically defined and solved. Delivery costs are minimized for a given production plan. The bi-level problem is applied to prepare feed with the required nutrient content while minimizing the inventory costs of supplying the required raw materials. Empirical results give advantages for the obtained solution of the bi-level optimization problem.1152025115202515115614https://wseas.com/journals/bae/2025/a265107-004(2025).pdf10.37394/23207.2025.22.14https://wseas.com/journals/bae/2025/a265107-004(2025).pdf10.1287/mnsc.1040.0278J. A. Buzacott and R.Q. Zhang. Inventory Management with Asset-Based Financing, Management Science, Vol.50, No9, 2004, pp. 1274-1290, https://doi.org/10.1287/mnsc.1040.0278. 10.37394/23207.2023.20.175K. Nuangchumnong, T. Silpcharu, S. Wattanakomol, Guidelines for Inventory Cost Reduction in Finished Goods for Competitive Advantage, WSEAS Transactions on Business and Economics, Vol. 20, 2023, pp. 2009- 2022, https://doi.org/10.37394/23207.2023.20.175. 10.1515/9783110673944N. Vandeput, Inventory Optimization: Models and Simulations, De Gruyter, 2020. https://doi.org/10.1515/9783110673944. 10.37394/23207.2021.18.141R. Subanjui, T. Thawilpol, Confirmatory Factor Analysis of Industrial Inventory Management Optimization, WSEAS Transactions on Business and Economics, Vol. 18, 2021, pp. 1545-1553, https://doi.org/10.37394/23207.2021.18.141. 10.1007/s11081-017-9364-3M.A. Rodriguez, G. Corsano, A. Vecchietti, J. M. Montagna, Simultaneous optimization of production planning and inventory management of polyurethane foam plant. Optimization and Engineering, Vol. 19, 2018, pp. 97–123, https://doi.org/10.1007/s11081- 017-9364-3. 10.1016/s1570-7946(09)70273-1M. A. Rodríguez, A. Vecchietti, Integrating Purchase Contract Decisions with Inventory Management Optimization in the Supply Chain, In Computer Aided Chemical Engineering, R. M. B. Alves, C. A. O. Nascimento, E. C. Biscaia, (Editors), Elsevier, Vol. 27, 2009, pp. 315-320, https://doi.org/10.1016/S1570- 7946(09)70273-1. 10.1080/03610926.2022.2150522K. A. Tasias, Simultaneous optimization of inventory, maintenance, and quality for production systems subject to multiple mean and variance shifts, Communications in Statistics - Theory and Methods, Vol. 53, No9, 2022, pp. 3078-3101, DOI: 10.1080/03610926.2022.2150522. 10.1007/978-3-030-01183-3_7G. M. Kopanos, L. Puigjaner, Simultaneous Optimization of Production and Logistics Operations in Semicontinuous Process Industries. In: Solving Large-Scale Production Scheduling and Planning in the Process Industries, Springer, Cham., 2019, pp. 141-166, https://doi.org/10.1007/978-3- 030-01183-3_7. 10.3390/math9050568H. AL-Khazraji, C. Cole, W. Guo, Optimization and Simulation of Dynamic Performance of Pro-duction-Inventory Systems with Multivariable Controls, Mathematics 2021, Vol. 9, No5, 2021, 568. https://doi.org/10.3390/math9050568. R. M. Munyao, V. O. Omulo, M. W. Mwithiga, B. Chepkulei, Role of inventory management practices on performance of production department. A case of manufacturing firms, International Journal of Economics, Commerce and Management, United Kingdom Vol. 3, No 5, 2015, pp. 1625-1656, [Online]. http://ijecm.co.uk/wpcontent/uploads/2015/05/35107.pdf (Accessed Date: November 15, 2024). A. O. Agu, O. A. H. Ozioma, E. C. Nnate, Effect of inventory management on the organizational performance of the selected manufacturing firms, Singaporean Journal of Business, Economics, and Management Studies, Vol. 5, No. 4, 2016, pp. 56-69, [Online]. https://singaporeanjbem.com/pdfs/SG_VOL_ 5_(4)/6.pdf (Accessed Date: November 15, 2024). S. Padmanava, Introduction to inventory management. 2015, DOI: 10.13140/RG.2.2.14914.99522. H. A. Taha, Operations Research. An Introduction, Tenth Edition, Pearson, 2017, 844 p. ISBN: 9780134444017. Z. Kang, M. Zheng, Traffic Engineering Model and Algorithm Based on Bi-Level Programming in Hybrid Software Defined Network, WSEAS Transactions on Communications, Vol. 14, 2015, pp. 441-448.