Applications in Traffic and Transportation Engineering

The following traffic and transportation examples are solved efficiently in this chapter, on the cell-object-oriented spreadsheet platform. Readers are encouraged to browse the classical solution procedures in the cited sources (from which the questions are excerpted, and often extended). Students and researchers are also encouraged to obtain the solutions by other means, e.g., MATLAB, MathCad, R, Python, proprietary MCS software, etc. EXAMPLE 6.1 The probability of driving time from one city to another EXAMPLE 6.2 Probability of vehicles turning left (or right) using the binomial distribution EXAMPLE 6.3 Design the length of left-turn lane for car arrivals by the Poisson distribution EXAMPLE 6.4 Probability of under-designed length of left-turn lane EXAMPLE 6.5 Probability of a car crashing into another car in front that brakes suddenly EXAMPLE 6.6 Two vehicles in a traffic flow, with extended realistic complexity EXAMPLE 6.7 Correlated sensitivity exhibited by positively correlated speed V B and distance S EXAMPLE 6.8 FORM, MVFOSM, SORM, IS and MCS applied to the two-vehicle example EXAMPLE 6.9 Multiple regression of the safe stopping distance (S) for vehicles on level roads EXAMPLE 6.10 Probability of pavement failure under axle load applications EXAMPLE 6.11 Importance sampling and direct MCS for the pavement durability example EXAMPLE 6.12 Choosing the best route through five towns amid uncertain driving durations EXAMPLE 6.13 Probability of traffic congestion EXAMPLE 6.14 Probability of traffic congestion, comparing different methods EXAMPLE 6.15 RBD of traffic capacity for a target reliability against congestion EXAMPLE 6.16 Probability of arriving at a destination on time EXAMPLE 6.17 Alternative procedure for performance involving single lognormal variate EXAMPLE 6.18 Required travel time from RBD-via-FORM EXAMPLE 6.19 Distinguishing negative from positive reliability index