Issue №: 10 (38)
The magazine deals with the problems of the agricultural sector of the economy in the context of integration and processes of globalization. Attention is paid to the issues of development of digital economy, rural territories, technologies of enterprise management and organization of accounting, problems of legal support of economic processes, market tendencies of development of various branches of economy. Particular attention is paid to green tourism as a promising segment of the national economy.
MATHEMATICAL AND SIMULATION MODELING OF OPERATION PROCESSES IN THE CONCENTRATION NODE OF HYBRID LOGISTIC TRANSACTION FLOWS
PIDHURSKYI Оleksandr – Сandidate of Тechnical Sciences, Аssociate Professor,
Аssociate Professor of the Department of Мodelling and Іnformation Тechnologies in
Economics, Vinnytsia National Agrarian University (e-mail paraplane@meta.ua).
The paper describes the results of mathematical and simulation modeling of the
concentration (distribution) transaction node in the logistic system formalized by the queue
system. The author developed a number of the system models, with transaction flows on the
input, generated on the base of traditional and alternative methods. The mentioned models
describe processes of formation and maintenance of the hybrid flow of material (inmaterial)
logistics objects. In order to verify and validate the models, a comparative analysis of the
results obtained during the experiments was carried out. The analysis resulted in a
grounded conclusion about the mutual correspondence of numerical characteristics of
models as well as introduced the alternative generation method for the transaction input
flow in the imitating modeling of queue systems.
This work is based on materials obtained by the author in the previous studies.
1. Saaty T.L. (1971). Elementy teorii massovogo obsluzhivaniya i eye prilozheniya
[Elements of queuing with applications]. Moscow: Sovetskoe radio [in Russian].
2. Kleinrock L. (1979). Teoriya massovogo obsluzhivaniya [Queuing Theory]. V.I.
Neyman (Ed.). Moscow: Mashinostroenie [in Russian].
3. Gnedenko B.V., & Kovalenko I.N. (1987). Vvedeniye v teoriyu massovogo
obsluzhivaniya [Introduction to queuing theory]. Moscow: Nauka [in Russian].
4. Lifshits A.L., Malts E.A. ( 1978). Statisticheskoye modelirovaniye sistem massovogo
obsluzhivaniya [Statistical modeling of queuing systems]. Moscow: Sovetskoe radio [in Russian].
5. Tomashevskyi V.M. (2005). Modeliuvannia system [System simulation]. Kyiv:
Vydavnycha hrupa BHV [in Ukrainian].
6. Prystavka O.P., Baibuz O.H., & Prystavka P.O. (2011). Imitatsiine
modeliuvannia [Simulation simulation]. Dnіpropetrovsk: DNU [in Ukrainian].
7. Zhernovyi Yu.V. (2007). Imitatsiine modeliuvannia system masovoho
obsluhovuvannia [Simulation of mass service systems]. Lviv: Vydavnychyi tsentr LNU imeni
Ivana Franka [in Ukrainian].
8. Burennikova N.V., Fostolovych V.A. (2017). Upravlinnia rozvytkom: model
formuvannia suchasnoi informatsiinoi systemy [Development management: a model for the
formation of a modern information system]. BIZNES INFORM – BUSINESS INFORM, 4,
138-144 [in Ukrainian].
9. Pidhurskyi O.I. (2017). Analiz superpozytsii potokiv tranzaktsii z puassonivskym
ta rivnomirnym zakonamy rozpodilu [Analysis of the superposition of transaction flows
with Poisson and uniform distribution laws]. Ekonomika. Finansy. Menedzhment: aktualni
pytannia nauky i praktyky – Economy. Finances. Management: topical issues of science
and practice, 12, 40-54 [in Ukrainian].
10. Pidhurskyi O.I. (2018). Analitychni doslidzhennia rezultativ matematychnoho
ta imitatsiinoho modeliuvannia superpozytsii rivnomirnoho i puassonivskoho potokiv
tranzaktsii [Analytical study of the results of mathematical and simulation modeling of a
superposition of uniform and Poisson flows of transactions]. Ekonomika. Finansy.
Menedzhment: aktualni pytannia nauky i praktyky – Economy. Finances. Management:
topical issues of science and practice, 7, 78-96 [in Ukrainian].
11. McCracken D., Dorn W. (1977). Chislennyye metody i programmirovaniye na
FORTRANe [Numerical methods and FORTRAN programming]. B.M. Naymark (Ed.).
Moscow: Mir [in Russian].
12. Tomashevskiy V., & Zhdanova E. (2003). Imitatsionnoye modelirovaniye v
srede GPSS [GPSS Simulation]. Moscow: Bestseller [in Russian].
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