Geodesic
Probabilistic model of terminal services
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2016), pp. 32-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article assumes that several companies have transport terminals located in close proximity. Each company provides transportation and storage of goods. If a terminal of one company is crowded, then the company can rent a storage space in the terminal of another company. If a terminal of some company is not loaded, then the part of the premises may be leased to another company. If there is demand for a product that cannot be met in view of its absence from the terminal, the company can purchase goods at the other terminal and transfer them to another your terminal. Rental of the terminal to another company and the transportation of goods from one terminal to another terminal require additional costs. It is desirable to anticipate the need for the rental of the premises of another company, as the organization of rent and transportation of goods require some additional time and financial resources. Therefore, it is necessary to make long-term planning of financial resources in order to provide additional costs. Cargo flow is stochastic in nature and is not fully known in advance. The paper discusses two terminals maintenance tasks in the framework of a simplified mathematical model. The dynamics of the boot process of the terminal is determined by the stochastic equation with control. The probabilistic approaches to the problem of optimal control with the purpose to ensure acceptable conditions for the functioning of the terminal are formulated. Refs 12.
Keywords: terminal, the Bernoulli scheme
Mots-clés : convolution of distributions. 
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V. M. Bure; V. V. Karelin; L. N. Polyakova. Probabilistic model of terminal services. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2016), pp. 32-38. http://geodesic.mathdoc.fr/item/VSPUI_2016_3_a2/

[1] Bure V. M., Karelin V. V., “On the problem of planning the terminal”, Vestnik of Saint Petersburg University. Series 10. Applied mathematics. Computer science. Control processes, 2015, no. 2, 32–38 (In Russian)

[2] Belzunce F., Martinez-Puertas H., Ruiz Jose M., “On allocation of redundant components for systems with dependent components”, European J. of Operational Research, 230:3 (2013), 573–580 | DOI | MR | Zbl

[3] Sobhani A., Wahab M. I. M., Neumann W. P., “Investigating work-related ill health effects in optimizing the performance of manufacturing systems”, European J. of Operational Research, 241:1 (2015), 708–718 | DOI | MR

[4] Tang W., Zheng J., Zhang J., “Viability decision of linear discrete-time stochastic systems with probability criterion”, J. Control Theory Appl., 7:3 (2009), 297–300 | DOI | MR

[5] Yakushev V. P., Karelin V. V., Bure V. M., “Bayesian approach for control soil acidity”, Vestnik of Saint Petersburg University. Series 10. Applied mathematics. Computer science. Control processes, 2013, no. 3, 168–179 (In Russian)

[6] Karelin V. V., Bure V. M., “Optimal allocation of a collective use center”, Vestnik of Saint Petersburg University. Series 10. Applied mathematics. Computer science. Control processes, 2014, no. 4, 36–43 (In Russian)

[7] Polyakova L. N., Karelin V. V., Bure V. M., Chitrow G. M., “Exact penalty function in the problem of a queuing system”, Vestnik of Saint Petersburg University. Series 10. Applied mathematics. Computer science. Control processes, 2015, no. 1, 75–82 (In Russian)

[8] Bure V. M., Karelin V. V., Elfimov A. N., “On a control problem of a deterministic system service”, Vestnik of Saint Petersburg University. Series 10. Applied mathematics. Computer science. Control processes, 2015, no. 4, 100–112 (In Russian)

[9] Bayram A., Solak S., Johnson M., “Stochastic models for strategic resource allocation in nonprofit foreclosed housing acquisitions”, European J. of Operational Research, 233:1 (2014), 246–262 | DOI | MR | Zbl

[10] Rizhikov Y. I., Queuing theory, and inventory management, Peter, Saint Petersburg, 2001, 384 pp.

[11] Taha Hamdy A., Operations Research: An Introduction, 8th ed., Pearson Prentice Hall: Pearson Education, 2007, 812 pp. | MR

[12] Waters D., Inventory control and management, Wiley, New York, 2003, 408 pp.