Commute Time Monte Carlo Simulation

Commute Time Monte Carlo Simulation

Simulate your commute time to estimate arrival confidence. Adjust the variables below and run the simulation. This is a direct Monte Carlo simulation, which repeatedly samples from the defined probability distributions to build a distribution of commute times.

The Commute Problem

We are calculating the time it takes to commute from home to the office.

Questions to Answer:

  • How much time do I need to allow in order to have 75% confidence that I will arrive on time?
  • How much time should I allow in order to have 99.5% confidence that I will arrive on time (on days that start with an important meeting)?

The Situation Details:

  • Drive 2 miles on a highway (Segment 1): 90% probability of averaging 65 MPH, 10% probability of averaging 20 MPH due to a traffic jam.
  • Intersection: Encounter a traffic light that is red for 90 seconds and green for 30 seconds.
  • Travel 2 more miles on a surface street (Segment 2): 70% probability of averaging 30 MPH, 10% probability of 20 MPH, 10% probability of 40 MPH, and 10% probability of a traffic jam taking 30 minutes for this segment.

Simulation Parameters

Segment 1: Highway

Intersection: Traffic Light

Segment 2: Surface Street

Segment 2 (cont.)