|
Scientific paper ID 961 : 2014/3
![]() APPLICATION OF SIMULATION MODEL OF MULTI-SERVER QUEUING SYSTEM WITH REAL INFLOWS TO INVESTIGATE AND DESIGN TRANSPORT SYSTEMS AND PROCESSES
Kiril Karagyozov A GPSS World simulation model of multi-server queuing system is developed to allow exploring both the probabilities of the queuing system states and functions of distribution of stay in the system and waiting time in the queue. In order to adequately report on actual processes in transport systems, algorithms have been developed to generate random variables with deterministic (shift) part d in procedures to the GPSS model since the fitting probability distributions are determined based on the first two central moments of random variables. The probabilities of states are determined by two ways: by scanning the queuing system state at regular intervals, which are compared depending on the dwell time in a given state, and with a scan interval of 1/100 of the model unit, which provides the same results. The outcomes of the model are given and their credibility and relevance are analyzed by comparison with analytical results known exactly.
имитационно моделиране GPSS World системи за масово обслужване моделиране на отместени разпределения на вероятностите дву моментна апроксимация на функциите на разпределение на вероятностите на случайни величиниSimulation GPSS World queuing systemKiril Karagyozov BIBLIOGRAPHY [1] K. Karagyozov, S.Dimitrov. Komleksen imitatsionen model na otvoreni mrezhi ot sistemi za masovo obsluzhvane s proizvolna struktura, Godishnik na VTU 5/2014 ISSN 1314-362X ( [1] К. Карагьозов, С.Димитров. Комлексен имитационен модел на отворени мрежи от системи за масово обслужване с произволна структура, Годишник на ВТУ 5/2014 ISSN 1314-362X ) [2] T.Razmov. Analiz na transportnite sistemi, chrez diskretno-sabitiyno modelirane. Spisanie “Mehanika, transport, komunikatsii“, ISSN 1312-3823,br.3,2013. ( [2] T.Размов. Анализ на транспортните системи, чрез дискретно-събитийно моделиране. Списание “Механика, транспорт, комуникации“, ISSN 1312-3823,бр.3,2013. ) [3] P. A.W. Lewis and G. S. Shedler. Simulation of nonhomogenous Poisson processes by thinning. . Naval Research Logistics Quarterly, 26(3):403–413, 1979 [4] Pasupathy, R. Generating Nonhomogeneous Poisson Processes. Wiley Encyclopedia of Operations Research and Management Science, 2011. |