Modeling the Time to Work Part 1 We have created a simplified representation of a trip to work that we will model with either MATLAB or Python. The simplified situation we have created is illustrated in figure 3.4. We start our trip from our home on the northern area of the map. We get to the first intersection and then can follow one of two routes. The local route turns left and then follows local and major streets before getting to our work destination. The highway route turns right and then picks up the local Interstate for part of the trip. Notice that each of the street segments are numbered. The segments are defined by interruptions in flow by a stop sign or traffic light or by a change of street or direction. Table 3.3 shows each of the street segments, the type of street and the segment length. Table 3.3 Street Types and Lengths Street Segment Type Length (feet) Local 1325 Major 716 Major 2800 Major 3052 Major 2995 Major 1839 Major 1725 Local 707 Major 2340 10 Freeway 10235 11 Major The time to traverse each street segment can be derived by dividing the length, in the appropriate units, by the speed limit for that type of roadway. In addition, at each intersection, we need to add some additional time associated with the traffic control devices at that intersection. The starting assumptions we will use in the model are summarized in Table 3.4. Table 3.4 Initial Model Assumptions Item Assumption Local Street Speed 25 mph Major Street Speed 40 mph Normal Freeway Speed 55 mph Congested Freeway Speed 18 mph Stop sign delay 30 seconds Traffic light delay 2 minutes Left onto major road delay 2.5 minutes