Vertaile menetelmiä

	Markov-Malli	Diskreetti tapahtumasimulaatio (DES)
Tieteenala	Simulointi	Simulointi
Menetelmäperhe	Process / pipeline	Process / pipeline
Syntyvuosi	1906	1960s (formalized); modern computational form from 1970s onward
Kehittäjä	Andrei Markov	Banks, Carson, Nelson & Nicol (textbook lineage); foundational work by Tocher & Conway (1960s)
Tyyppi	Probabilistic state-transition model	Stochastic process simulation
Alkuperäislähde	Norris, J. R. (1997). Markov Chains. Cambridge University Press, Cambridge. ISBN: 9780521633963	Banks, J., Carson, J.S., Nelson, B.L. & Nicol, D.M. (2010). Discrete-Event System Simulation (5th ed.). Pearson. ISBN: 978-0136062127
Rinnakkaisnimet	Markov Chain, Discrete-Time Markov Chain, DTMC, Markov Process	DES, event-driven simulation, Ayrık Olay Simülasyonu (DES)
Liittyvät	5	4
Tiivistelmä	A Markov Model represents a system as a finite set of states and specifies the probability of moving from one state to another at each time step. By capturing only the current state — not the full history — it enables tractable analysis of complex dynamic processes across health economics, engineering reliability, operations research, and social-science modeling.	Discrete-Event Simulation (DES) is a computational modeling paradigm in which the state of a system changes only at a countable sequence of points in time — the events. Between events nothing changes, so the simulation clock jumps directly from one event to the next. Formalized through the foundational textbooks of Banks, Carson, Nelson and Nicol and of Law in the 1960s–2000s, DES has become the standard tool for analyzing queuing systems, healthcare patient flows, manufacturing lines, and logistics networks where entities move through resources over time.