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Δυναμική Στοχαστικών Συστημάτων×Στοχαστικές Διαφορικές Εξισώσεις (ΣΔΕ)×
ΠεδίοΠροσομοίωσηΠροσομοίωση
ΟικογένειαProcess / pipelineProcess / pipeline
Έτος προέλευσης1980s–2000s1944 (theory); 1992 (numerical framework)
ΔημιουργόςJay W. Forrester (base SD); stochastic extensions developed through 1980s–2000s by multiple researchersKiyosi Itô (Itô calculus, 1944); Peter Kloeden & Eckhard Platen (numerical methods, 1992)
ΤύποςContinuous stochastic simulationContinuous-time stochastic process model
Θεμελιώδης πηγήSterman, J.D. (2000). Business Dynamics: Systems Thinking and Modeling for a Complex World. Irwin McGraw-Hill. ISBN: 978-0072389159Øksendal, B. (2003). Stochastic Differential Equations: An Introduction with Applications (6th ed.). Springer. DOI ↗
Εναλλακτικές ονομασίεςSSD, stochastic stock-flow modelling, probabilistic system dynamics, random system dynamicsSDE, Itô equations, Stokastik Diferansiyel Denklemler (SDE)
Συναφείς54
ΣύνοψηStochastic System Dynamics (SSD) extends conventional system dynamics by replacing fixed parameter values and deterministic flow equations with probability distributions and random draws. Running many replications of the stock-flow model yields probabilistic trajectories — confidence bands rather than single lines — enabling rigorous uncertainty quantification and risk analysis in complex feedback systems such as epidemic models, supply chains, and energy policy scenarios.Stochastic differential equations (SDEs) are differential equation models that combine a deterministic drift term — governing the average tendency of a system — with a stochastic diffusion term driven by a Wiener process (Brownian motion). Pioneered through Itô calculus by Kiyosi Itô in 1944 and given a comprehensive numerical treatment by Kloeden and Platen in 1992, SDEs are the standard modelling language for continuous-time systems subject to random noise, including financial asset prices, population dynamics, and physical processes.
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ScholarGateΣύγκριση μεθόδων: Stochastic System Dynamics · Stochastic Differential Equations. Ανακτήθηκε στις 2026-06-18 από https://scholargate.app/el/compare