Operations Research Models and Methods / Computation

Markov Process


Simulate

This option simulates the Markov Process using the simulated data. Using the Start button allows entry of the initial state. The simulation proceeds with sets of 20 transitions. Both time for the transition and the new state are simulated using the random numbers obtained from the Excel internal random number generator. The More button provides additional sets of 20 transitions. The Chart buttons constructs graphs of the various quantities. The simulation illustrates the dynamic nature of the stochastic process.


Simulation data is collected and displayed on this worksheet with the tables illustrated below. The value rate and present worth measures are obtained from the last line of the simulation. The state frequency shows the proportion of the steps that have the system in the several states of the system. The time frequency shows the proportion of time that the system spends in the states. These proportions are generally not equal because different states have different average residence times.



Operations Research Models and Methods
by Paul A. Jensen and Jon Bard, University of Texas, Copyright by the Authors