monte carlo simulation in static modeltime plays no essential role the needle-dropping simulation used to estimate in this is an example of static simulation in dynamic modeltimeor some analogplays an essential role in the series of random walks simulated in the number of steps taken was used as surrogate for time in discrete modelthe values of pertinent variables are enumerablee they are integers in continuous modelthe values of pertinent variables range over non-enumerable setse the real numbers imagine analyzing the flow of traffic along highway we might choose to model each individual carin which case we have discrete model alternativelywe might choose to treat traffic as flowwhere changes in the flow can be described by differential equations this leads to continuous model in this examplethe discrete model more closely resembles the physical situation (nobody drives half carthough some cars are half the size of others)but is more computationally complex than continuous one in practicemodels often have both discrete and continuous components for exampleone might choose to model the flow of blood through the human body using discrete model for blood ( modeling individual corpusclesand continuous model for blood pressure