Types of simulation models

Stochastic vs. Deterministic

Stochastic simulation: a simulation that contains random (probabilistic) elements, e.g.,
Examples
  • Inter-arrival time or service time of customers at a restaurant or store
  • Amount of time required to service a customer
  • Output is a random quantity (multiple runs required analyze output)
Deterministic simulation: a simulation containing no random elements
Examples
  • Simulation of a digital circuit
  • Simulation of a chemical reaction based on differential equations
  • Output is deterministic for a given set of inputs


Static vs. Dynamic Models

Static models
Model where time is not a significant variable
Examples
Determine the probability of a winning solitaire hand
Static + stochastic = Monte Carlo simulation
Statistical sampling to develop approximate solutions to numerical problems

Dynamic models
Model focusing on the evolution of the system under investigation over time

Continuous vs. Discrete

Discrete
State of the system is viewed as changing at discrete points in time
An event is associated with each state transition
Events contain time stamp

Continuous
State of the system is viewed as changing continuously across time
System typically described by a set of differential equations


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