The Methodology for Modeling Logistics Systems: Implementation Principles and Examples
Sherstennykov Y. V.

Sherstennykov, Yuriy V. (2019) “The Methodology for Modeling Logistics Systems: Implementation Principles and Examples.” The Problems of Economy 4:306–314.
https://doi.org/10.32983/2222-0712-2019-4-306-314

Section: Mathematical methods and models in economy

UDC 330.3: 330.4

Abstract:
The article deals with the development of a methodology for constructing a model of an enterprise’s logistics system engaged in production and marketing activities. The introduction notes the importance of general theoretical research methods. A universal method for constructing a logistics system is developed, starting with the construction and analysis of the simplest reservoir systems (J. Forrester’s approach). The construction of the logistics system is carried out in stages, as a result of the consistent refinement of the reservoir model. At the first stages, the model is modified with consideration for the most important functions of any logistics system. At each stage of the construction, calculations of the main characteristics of the logistics system are made. Based on the analysis of the calculations results, the conclusions on the ways for further refinement of the model are drawn. The model is used to solve optimization problems in order to determine the optimal value of the parameters of the constructed logistics systems. The optimization problems solved in the article by their formulation are similar to Pontryagin’s maximum principle used in optimal control theory. To solve them, the method for computation of optimization problems of this class is applied. The developed methodology is universal and applicable for any theoretical study of the logistics system.

Keywords: logistics system, production capacity, economic and mathematical model.

Fig.: 23. Formulae: 21. Bibl.: 14.

Sherstennykov Yuriy V. – Doctor of Sciences (Economics), Associate Professor, Professor, Department of Economic Cybernetics, Oles Honchar Dnipro National University (72 Nauky Ave., Dnіpro, 49010, Ukraine)
Email: hm001@ukr.net

List of references in article

Forrester, Dzh. Osnovy kibernetiki predpriyatiya (Industrialnaya dinamika) [Fundamentals of Cybernetics Enterprises (Industrial Dynamics)]. Moscow: Progress, 1971.
Makh, E. Mekhanika. Istoriko-kriticheskiy ocherk ee razvitiya [Mechanics. Historical and Critical Essay on its Development]. Izhevsk: Izhevskaya respublikanskaya tipografiya, 2000.
Amper, A.-M. Elektrodinamika [Electrodynamics]. Moscow: AN SSSR, 1954.
Frame, D. J. “Reconstructing Project Management“. Project Management Journal. 2014. http://dx.doi.org/10.1002/pmj.21387
Gopfert, I., and Wellbrock, W. “Innovation management in logistics: an empirical study“. International Journal of Logistics Systems and Management. 2016. http://dx.doi.org/10.1504/ijlsm.2016.078914
Han, H. “A review and a model for logistics clusters“. International Journal of Logistics Systems and Management. 2019. http://dx.doi.org/10.1504/ijlsm.2019.10021193
Hemamala, K., Banerji, S., and Sahay, M. “A systems approach to mapping logistics systems performance of small and medium manufacturing enterprises“. International Journal of Logistics Systems and Management. 2017. http://dx.doi.org/10.1504/ijlsm.2017.083812
Larson, E. W, and Gray, C. F. Project management: the managerial process. McGraw-Hill, 2011.
Morris, P. W. G. “Developing Project Management“. Reconstructing Project Management. 2013. http://dx.doi.org/10.1002/9781118536698.ch5
Multaharju, S., and Hallikas, J. “Logistics service capabilities of logistics service provider“. International Journal of Logistics Systems and Management. 2015. http://dx.doi.org/10.1504/ijlsm.2015.065975
Rusinova, O. “Model of management system for promotion of industrial enterprise development“. http://skhid.kubg.edu.ua/article/view/108104. DOI: 10.21847/1728-9343.2017.3(149).108104
Shyshkin, V., and Nikolayevska, A. “Design of logistics systems as a composition of effective functioning of enterprise“. Management and entrepreneurship: trends of development, vol. 3 (09) (2019): 107-116. DOI: 10.26661/2522-1566/2019-3/09-08
Gorskiy, A. A., Kolpakova, I. G., and Lokshin, B. Ya. “Dinamicheskaya model protsessa proizvodstva, khraneniya i sbyta tovara povsednevnogo sprosa“ [A Dynamic Model of the Process of Production, Storage and Marketing of Everyday Goods]. Izvestiya RAN. Teoriya i sistemy upravleniya, no. 1 (1998): 144-148.
Galeyev, E. M., and Tikhomirov, V. M. Optimizatsiya: teoriya, primery, zadachi [Optimization: Theory, Examples, Problems]. Moscow: Editorial URSS, 2000.