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)
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 modelsModel 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
DiscreteState 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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