338.001.36 Mathematical model for the formation of supply chains of raw materials from the commodity exchange under risk based on the profit trajectory for previous periods redundancy

Rogulin R. S. (Vladivostok State University)

PRODUCTION OPTIMIZATION, TRANSPORT TASK, TIMBER INDUSTRY, COMMODITY EXCHANGE, SUPPLY CHAINS, OUTPUT


doi: 10.18698/2309-3684-2023-2-129154


The formation of the supply chain of raw materials is closely related to the production problems of woodworking enterprises. Construction of supply chains for raw materials and the optimal calculation of daily production have been hot topics since the beginning of the second industrial revolution. This article discusses the enterprise of the Primorsky Territory of the woodworking industry, which does not have plots for rent. The purpose of the work is to solve the problem of building a supply chain of raw materials, taking into account the daily loading of production facilities and finding the optimal solution. The source of raw materials is the commodity exchange, where lots appear daily randomly in different mining regions. In the scientific literature, there are many ways to calculate the best profit value, taking into account many restrictions, but they do not take into account many features that are important for woodworking enterprises. Based on a review of the scientific literature, this article presents a mathematical model that acts as a decisionmaking mechanism on each individual day, and it differs in that it can take into account the coefficient of useful volume of raw materials that will reach the warehouse and travel time. The model was tested on the data of the Russian Commodity and Raw Materials Exchange and a company in Primorsky Krai. The result of testing the model is the calculated optimal profit trajectory for each set of data on the volume of raw materials, the time of lots in transit, as well as many important indicators for any production: profit volume, production volume of goods. The analysis of the received solutions showed that there are difficulties in planning supply chains and production volumes. The regions are analyzed as sources of raw materials, from which regions and when it is worth buying raw materials. The shortcomings and positive aspects of the mathematical model are given


Rogulin R.S. The Place of ICT and Entrepreneurship in Forming Sustainable Supply Chains. Ekonomicheskaya Politika, 2021, vol. 16, no. 4, pp. 84–103. DOI: 10.18288/1994-5124-2021-4-84-103.
Rogulin R.S. Mathematical model for the formation of pricing policy and plan for the production and transport system of a timber industry enterprise. Business-Informatics, 2021, vol. 15, no. 3, pp. 60–77. DOI: 10.17323/2587-814X.2021.3.60.77.
Rogulin R.S. A mathematical model for finding the optimal solution to the problem of forming supply chains of raw materials under conditions of uncertainty from the commodity exchange to the warehouse of timber industry enterprises, taking into account production and logistics features. Journal of applied informatics, 2023, (in press).
Rogulin R.S. A model for optimizing the plan for purchasing raw materials from the regions of Russia by a timber processing complex. Business-Informatics, 2020, vol. 14, no. 4, pp. 19–35. DOI: 10.17323/2587-814X.2020.4.19.35.
Coskun B., Yıldız M. S., Bayraktar M. Surdurulebilir tedarik zinciri yonetimindetedarikci degerlendirme kriterlerinin dematel yöntemiyle incelenmesi ve ahsapsektorunde bir uygulama. Uluslararası Yonetim Iktisat ve Isletme Dergisi [International Journal of Management Economics and Business], 2022, Vol. 18 (2), pp. 618-648. DOI: 10.17130/ijmeb.978939.
Palander T. Outsourcing Issues of Wood Supply Chain Management in the Forest Industry. Forest Science, 2022, vol. 68, pp. 521–532. DOI: 10.1093/forsci/fxac029.
Salari S.A.-S., Mahmoudi H., Aghsami A., Jolai F., Jolai S., Yazdani M. Off-Site Construction Three-Echelon Supply Chain Management with Stochastic Constraints: A Modelling Approach. Buildings, 2022, vol. 12, iss. 2, article ID: 119. DOI: 10.3390/buildings12020119.
Mishra M., Ghosh S. K., Sarkar B. Maintaining energy efficiencies and reducing carbon emissions under a sustainable supply chain management. AIMS Environmental Science, 2022, vol. 9, iss. 5, pp. 603-635. doi: 10.3934/environsci.2022036.
Svatos-Raznjevi´c H., Orozco L., Menges A. Advanced Timber Construction Industry: A Review of 350 Multi-Storey Timber Projects from 2000–2021. Buildings, 2022, vol. 12, iss. 4, article ID: 404. DOI: 10.3390/buildings12040404.
Torabzadeh S. A., Nejati E., Aghsami A., Rabbani M. A dynamic multi-objective green supply chain network design for perishable products in uncertain environments, the coffee industry case study. International Journal of Management Science and Engineering Management, 2022, vol. 17, iss. 3, pp. 220-237, DOI: 10.1080/17509653.2022.2055672.
Alkahtani M. Mathematical Modelling of Inventory and Process Outsourcing for Optimization of Supply Chain Management. Mathematics, 2022, vol. 10, no. 7, article ID: 1142. DOI: 10.3390/ math10071142.
Longo F., Mirabelli G., Solina V., Alberto U., De Paola G., Giordano L., Ziparo M. A Simulation-Based Framework for Manufacturing Design and Resilience Assessment: A Case Study in the Wood Sector. Applied Sciences, 2022, vol. 12, no. 15, article ID: 7614. DOI: 10.3390/app12157614.
Kuck T.N., Sano E.E., Bispo P.d.C., Shiguemori E.H., Silva Filho P.F.F., Matricardi E.A.T. A Comparative Assessment of Machine-Learning Techniques for Forest Degradation Caused by Selective Logging in an Amazon Region Using Multitemporal X-Band SAR Images. Remote Sens, 2021, vol. 13, no. 17, article ID: 3341. DOI: 10.3390/ rs13173341.
El-Gawad A. F. Abd, Zaki Sh., Kamal E. A Survey on Machine Learning Techniques for Supply Chain Management. American Journal of Business and Operations Research, 2021, vol. 2, no. 1, pp. 24-38. DOI: 10.54216/AJBOR.020103.
Paul S., Ali S.M., Hasan M.A., Paul S.K., Kabir G. Critical Success Factors for Supply Chain Sustainability in the Wood Industry: An Integrated PCA-ISMModel. Sustainability, 2022, vol. 14, no. 3, article ID: 1863. DOI: 10.3390/ su14031863.
Vitale I., Dondo R. G., Gonzalez M., Coccola M. E. Modelling and optimization of material flows in the wood pellet supply chain. Applied Energy, 2022, vol. 313, article ID: 118776.
Khan Y., Su’ud M.B.M., Alam M.M., Ahmad S.F., Ahmad (Ayassrah) A.Y.A.B., Khan N. Application of Internet of Things (IoT) in Sustainable Supply Chain Management. Sustainability, 2023, vol. 15, article ID: 694. DOI: 10.3390/ su15010694.
Prajapati D., Chan F.T.S., Chelladurai H., Lakshay L., Pratap S. An Internet of Things Embedded Sustainable Supply Chain Management of B2B E-Commerce. Sustainability, 2022, vol. 14, article ID: 5066. DOI: 10.3390/su14095066.
Munita A. A., Izzati T. Planning of Raw Material for Wooden Pallet using Probabilistic Inventory Model. International Journal of Engineering Research and Advanced Technology, 2022, vol. 8, no. 4, pp. 19–27. DOI: 10.31695/IJERAT.2022.8.4.3.
The MathWorks, Inc. [Electronic resource]. Access mode: https://www.mathworks.com/help/optim/ug/intlinprog.html (accessed: 05.07.2023)


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