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Univerza v Mariboru University of Maribor Fakulteta za logistiko ...

Univerza v Mariboru University of Maribor Fakulteta za logistiko ...

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<strong>Univer<strong>za</strong></strong> v <strong><strong>Maribor</strong>u</strong><br />

<strong>University</strong> <strong>of</strong> <strong>Maribor</strong><br />

<strong>Fakulteta</strong> <strong>za</strong> <strong>logistiko</strong><br />

UČNI NAČRT PREDMETA / SUBJECT SPECIFICATION<br />

Predmet: OSNOVE MODELIRANJA DINAMIČNIH PROCESOV V LOGISTIKI<br />

Subject Title:<br />

BASIC PRINCIPLES OF MODELLING DYNAMICS IN LOGISTICS<br />

Študijski program<br />

Study programme<br />

Študijska smer<br />

Study field<br />

Letnik<br />

Year<br />

2 3<br />

Semester<br />

Semester<br />

Univerzitetna koda predmeta / <strong>University</strong> subject code: MAG 12<br />

Predavanja<br />

Lectures<br />

Seminar<br />

Seminar<br />

Sem. vaje<br />

Tutorial<br />

e-p a-p e-v a-v<br />

Lab. vaje<br />

Lab work<br />

Teren. vaje<br />

Field work<br />

Samost. delo<br />

Individ. work<br />

ECTS<br />

24 21 24 21 60 5<br />

Nosilec predmeta / Lecturer:<br />

MAKS OBLAK, RUDOLF PUŠENJAK<br />

Jeziki /<br />

Languages:<br />

Predavanja / Lecture: SLOVENSKI / SLOVENE<br />

Vaje / Tutorial: SLOVENSKI / SLOVENE<br />

Pogoji <strong>za</strong> vključitev v delo oz. <strong>za</strong> opravljanje<br />

študijskih obveznosti:<br />

Ni pogojev.<br />

Prerequisites:<br />

Ni pogojev.<br />

Vsebina:<br />

Osnove dinamike migracijskih procesov.<br />

Naključni migracijski procesi. Selekcijski<br />

procesi nelinearne migracije. Modeliranje<br />

pojavov nelinearnih valovanj v logistiki.<br />

Modeliranje pojavov v dinamičnem sistemu<br />

plenilec – plen (predator-prey). Modeliranje<br />

pojavov v procesu tekmovanja. Omejitve rasti.<br />

Globalna teorija bifurkacij. Stabilnost in<br />

razvejitve v difuznih sistemih. Model Lotka-<br />

Volterra. Stohastično modeliranje. Wienerjev<br />

proces. Analitična rešitev Korteweg- de<br />

Vriesove enačbe.<br />

Content (Syllabus outline):<br />

Fundamentals <strong>of</strong> dynamics <strong>of</strong> migration<br />

processes. Stochastic migration processes.<br />

Selection processes <strong>of</strong> nonlinear migration.<br />

Modelling <strong>of</strong> nonlinear wave phenomena in<br />

logistics. Modelling <strong>of</strong> phenomena in predator –<br />

prey dynamic system. Modelling <strong>of</strong> phenomena<br />

in competition processes. Growth limitations.<br />

Global theory <strong>of</strong> bifurcations. Stability and<br />

bifurcations in diffusive systems. Lotka-Volterra<br />

model. Stochastic modelling. Wiener process.<br />

Analytic solution to Korteweg-de Vries equation.<br />

Temeljni literatura in viri / Textbooks:<br />

1. G. Fishman: Discrete-Event Simulation: Modeling, Programming, and Analysis . Springer,2001.<br />

2. S.P. Banks: Control Systems Engineering: Modelling and Simulation, Control Theory and<br />

Microprocessor Implementation, Prentice Hall, 1986.<br />

3. Law and Kelton: Simulation, Modeling & Analysis, McGraw-Hill,2000.<br />

4. K-U Grusa: Mathematical analysis <strong>of</strong> nonlinear dynamic processes. John Wiley&Sons, Inc., New<br />

York, 1988.<br />

Cilji:<br />

Objectives:<br />

32

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