قارن الطرق

	الأوتوماتا الخلوية الحتمية	نموذج ماركوف
المجال	المحاكاة	المحاكاة
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1940s–1950s	1906
صاحب الطريقة	John von Neumann and Stanislaw Ulam	Andrei Markov
النوع	Discrete deterministic grid simulation	Probabilistic state-transition model
المصدر التأسيسي	von Neumann, J. (1966). Theory of Self-Reproducing Automata. University of Illinois Press, Urbana, IL. (Edited and completed by A. W. Burks.)	Norris, J. R. (1997). Markov Chains. Cambridge University Press, Cambridge. ISBN: 9780521633963
الأسماء البديلة	Deterministic CA, Classical Cellular Automata, Rule-based CA, Finite Automata Grid Model	Markov Chain, Discrete-Time Markov Chain, DTMC, Markov Process
ذات صلة	6	5
الملخص	Deterministic Cellular Automata (DCA) is a simulation method that models the evolution of complex systems through a regular grid of cells, each holding a discrete state, updated synchronously at each time step according to a fixed, deterministic rule applied to the cell and its neighbors. The outcome is fully reproducible given the same initial conditions and rule set.	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.