Markov Chain Simulation

Based on this week’s model, and the Markov simulation website, https://www.zweigmedia.com/RealWorld/markov/markov.html, create a model in Simio to represent 4 possible states of a process. Impersonate the objects used in the model to resemble the process illustrated with the help of the symbols. Bring a small narrative of the process.

Simio Model

I created a simulation of a kitchen process which has 4 stations; Table, Sink, Stove, and Microwave. I created a transition matrix data table and assigned each station object a row in the table. Each of the 16 connectors reference the transition matrix for their weight.

Here is a picture of the overall model layout.

Overall Model
Overall Model

No Microwave Station

Using the transition matrix data table made it easy to try various scenarios. Here are the results where I configured the transition matrix to not allow the Microwave station.

Transition Matrix No Microwave
Transition Matrix No Microwave
Results No Microwave
Results No Microwave

As expected, the process did not use the Microwave station.

Simulation Results

I created a second simulation after updating the transition matrix as follows.

Transition Matrix
Transition Matrix

Based on this matrix, I expected the Sink station to be the most used and the Microwave station to be used the least. The final results I received from my simulation met my expectations of the process.

Results
Results

I also ran the same transition matrix on the Markov Chain website to see if I received similar ratios.

Web Simulation
Web Simulation

The values are similar enough to believe that my simulation is working properly.