16-Civ-B10 Traffic Engineering
Worked solutions to 13 past sittings (2013–2019), 89 questions. Pick a sitting, or start from a topic below.
- December 2019
- December 2018
- May 2018
- December 2017
- May 2017
- December 2016
- May 2016
- December 2015
- May 2015
- December 2014
- May 2014
- December 2013
- Undated paper
Topics across the sittings
Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.
- Crest Vertical Curves (6 sittings): December 2019 Q1 · May 2018 Q5 · May 2017 Q4 · May 2016 Q4 · December 2015 Q4 · Undated paper Q5
- Sight distance (5 sittings): December 2019 Q1 · May 2018 Q5 · December 2017 Q7 · December 2015 Q4 · Undated paper Q5
- Saturation Flow (4 sittings): December 2015 Q6 · May 2015 Q1 · December 2014 Q5 · May 2014 Q1
- Travel Time (4 sittings): May 2018 Q3 · December 2017 Q5 · May 2015 Q5 · Undated paper Q6
- Clearance Intervals (3 sittings): May 2015 Q1 · December 2014 Q5 · May 2014 Q1
- Flow Ratio (3 sittings): May 2015 Q1 · December 2014 Q5 · May 2014 Q1
- Moving-Vehicle Method for Volume (3 sittings): December 2017 Q5 · May 2015 Q5 · Undated paper Q6
- Capacity (2 sittings): December 2015 Q7 · May 2014 Q2
- Crest vertical curve design (2 sittings): December 2017 Q7 · December 2016 Q6
- Curves (2 sittings): December 2018 Q2 · December 2017 Q7
- Flows (2 sittings): December 2015 Q6 · December 2014 Q1
- Green splits (2 sittings): May 2017 Q7 · May 2014 Q2
- Moving-vehicle method (2 sittings): December 2018 Q4 · May 2018 Q3
- Moving-vehicle volume (2 sittings): December 2019 Q6 · December 2016 Q2
- Peak-hour factor (2 sittings): December 2014 Q6 · May 2014 Q6
Questions by sitting
December 2019
- Question 1: Crest vertical curves and sight distance
- Question 2: Webster signal design for a four-approach intersection
- Question 3: Definitions and discussion
- Question 4: M/M/1 queue at a single cashier
- Question 5: The same intersection with 10 % lower saturation flows and a 20 % higher PHF
- Question 6: Moving-vehicle (Wardrop) volume and travel-time study
- Question 7: D/D/1 deterministic queueing at a signal approach
December 2018
- Question 1: Definitions and discussion
- Question 2: Curves
- Question 3: Webster signal design
- Question 4: Moving-vehicle method
- Question 5: D/D/1 queueing at a signal approach
- Question 6: M/M/1 single cashier
- Question 7: Repeat Question 3 with three changes
May 2018
- Question 1: Definitions and discussion
- Question 2: Webster signal design for the four-leg intersection
- Question 3: Moving-vehicle method: volumes and travel times
- Question 4: D/D/1 queueing at a signalised approach
- Question 5: Sight distance and crest vertical curves
- Question 6: Single-channel queueing at a store cashier
- Question 7: Question 2 repeated with reduced saturation and pedestrian flows
December 2017
- Question 1: Definitions and discussion
- Question 2: Single-server queueing at a cashier
- Question 3: Webster signal design for a four-approach intersection
- Question 4: Sensitivity of the design to saturation flow and pedestrian volume
- Question 5: Moving-vehicle method for volume and travel time
- Question 6: Deterministic (D/D/1) queueing at a signalised approach
- Question 7: Curves: sight distance and crest vertical curve design
May 2017
- Question 1: Definitions and Discussion
- Question 2: Single-Channel Queueing at a Drive-Thru
- Question 3: Deterministic Queueing at a Bridge Lane Closure
- Question 4: Crest Vertical Curves and Stopping Sight Distance
- Question 5: Total Delay at a Signal Approach
- Question 6: Webster Signal Design for a Four-Leg Intersection
- Question 7: Critical Lanes, Left-Turn Adjustment and Green Splits
December 2016
- Question 1: Signal-Phasing, Cycling and Traffic-Count Terminology
- Question 2: Moving-Vehicle (Wardrop) Volume and Travel-Time Study
- Question 3: Webster Signal Design for a Four-Leg Intersection
- Question 4: Sensitivity of the Cycle to Saturation Flow and Pedestrian Demand
- Question 5: Single-Channel (M/M/1) Queueing at a Drive-Through
- Question 6: Curve Types and Crest Vertical Curve Design
- Question 7: Deterministic (D/D/1) Queueing at a Signalized Approach
May 2016
- Question 1: Definitions and Discussion
- Question 2: Single-Channel Queueing at a Customs Booth
- Question 3: Deterministic Queueing at a Lane Closure
- Question 4: Stopping Sight Distance and Crest Vertical Curves
- Question 5: Stopping Sight Distance on a Grade
- Question 6: Alternate Progression Systems in a Downtown Grid
- Question 7: Signalised-Intersection Capacity and Green Allocation
December 2015
- Question 1: Definitions in Traffic Engineering
- Question 2: Single-Channel Queue at a Bank Teller
- Question 3: Deterministic Queueing behind a Freeway Incident
- Question 4: Crest Vertical Curves and Sight Distance
- Question 5: Total Delay on a Signal Approach
- Question 6: Flows, Saturation Flow and Clearance at an Isolated Intersection
- Question 7: Signal Timing, Capacity and Delay for the Same Intersection
May 2015
- Question 1: Signalised Four-Legged Intersection — Arrival Flow, Saturation Flow, Clearance Intervals and Flow Ratio
- Question 2: Parking-Space Availability and a Toll-Booth Queue
- Question 3: Freeway Service Flow Rate at Level of Service C, and the Greenshields Flow–Density Curve
- Question 4: Deterministic Queueing at an Incident Bottleneck
- Question 5: Moving-Vehicle Method for Volume and Travel Time
- Question 6: Service Volumes on an Urban Freeway and Level of Service on a Rural Two-Lane Highway
- Question 7: Peak Hour Factor from Interval Counts, and Spot-Speed Statistics
December 2014
- Question 1: Instantaneous Stream Measurement — Flow, Density and the Two Mean Speeds
- Question 2: Greenshields Speed–Density Model by Least-Squares Regression
- Question 3: Poisson Arrivals and Negative-Exponential Headways
- Question 4: Parking-Space Availability as a Multi-Channel Queue
- Question 5: Signalised Intersection — Demand, Saturation Flow, Clearance Intervals and Flow Ratio
- Question 6: Peak-Hour Volume, Peak-Hour Factor and Design Flow Rate
May 2014
- Question 1: Intersection flows, saturation flow, clearance intervals and flow ratio
- Question 2: Cycle length, green splits, pedestrian check, capacity and delay
- Question 3: Overload probability, delay components, person delay and queue length
- Question 4: Multi-channel drive-in facility and Poisson arrivals at a toll plaza
- Question 5: Single-channel drive-up window with one and two servers
- Question 6: Peak-hour factor, controller types and a coordinated timing plan
December 2013
- Question 1: Poisson Arrivals and Negative Exponential Headways
- Question 2: Freeway Service Flow Rate and Signalised-Intersection Capacity
- Question 3: Mean Speeds and the Linear Speed–Density Relationship
- Question 4: Deterministic Queueing at an Incident Bottleneck
- Question 5: Statistical Significance of a Change in Mean Spot Speed
- Question 6: Volume and Travel Time by the Moving-Vehicle Method
- Question 7: Alternate-System Signal Progression in a Grid
Undated paper
- Question 1: Definitions and Discussion
- Question 2: Webster Signal Design for a Four-Leg Intersection
- Question 3: Effect of Higher Saturation Flows and Wider Approaches
- Question 4: Single-Server Queueing at a Campus Cashier
- Question 5: Sight Distance and Crest Vertical Curves
- Question 6: Moving-Vehicle Method for Volume and Travel Time
- Question 7: D/D/1 Queueing at a Signalised Approach