Dynamic Pricing Algorithm for HOT Lanes Using Smith Predictor
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Solution Overview
Problem
Existing dynamic pricing algorithms for High Occupancy Toll (HOT) lanes fail to effectively manage traffic congestion due to instability caused by time delays and traffic jams, leading to fluctuations in average speed and throughput.
Innovation Solution
A feedback-based dynamic pricing algorithm with an embedded controller is implemented, utilizing a Smith predictor and Proportional-Integral-Derivative (PID) controller with an anti-windup compensator to stabilize toll rate adjustments, combined with a driver behavior preference model to set toll rates in real-time based on traffic conditions and performance metrics.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If dynamic pricing algorithms are implemented to adjust toll rates in real-time, then traffic congestion management is improved, but system stability deteriorates due to time delays and traffic jams causing fluctuations in average speed and throughput
Solution Approach 1:
The patent implements a feedback-based dynamic pricing algorithm that continuously monitors traffic conditions (flow, speed, occupancy) and adjusts toll rates accordingly. The feedback control mechanism uses measured traffic parameters to modify pricing decisions, creating a closed-loop system that adapts to changing traffic conditions while maintaining stability through controlled response to feedback signals.
Solution Approach 2:
The patent transitions from static pricing to dynamic pricing where toll rates are continuously adjusted based on real-time traffic conditions. The system dynamically modifies pricing parameters according to measured traffic flow, speed, and occupancy levels, enabling adaptive congestion management that responds to changing system states rather than relying on fixed predetermined rates.
2Productivity
If toll rates are adjusted frequently to respond to traffic conditions, then congestion management effectiveness is improved, but system stability worsens due to fluctuations in average speed and throughput
Solution Approach 1:
The patent implements periodic measurement and adjustment cycles where traffic parameters are measured at regular intervals and toll rates are updated based on these periodic assessments. This structured periodic action prevents continuous erratic adjustments while still responding to traffic conditions, balancing responsiveness with system stability through rhythmic control cycles.
Solution Approach 2:
The patent applies partial adjustments to toll rates rather than maximum possible changes, modifying pricing by controlled amounts based on traffic condition deviations. This partial action approach prevents excessive toll rate fluctuations that could cause instability in average speed and throughput while still achieving congestion management objectives through cumulative incremental adjustments.
3Measurement precision
If measurement and data collection systems are expanded to improve pricing accuracy, then pricing precision is improved, but device complexity increases
Solution Approach 1:
The patent employs electronic toll collection systems that perform multiple functions: collecting toll payments, measuring traffic flow, monitoring vehicle speed, and detecting occupancy levels. This multi-functional universal system eliminates the need for separate dedicated measurement devices for each parameter, reducing overall system complexity while maintaining high measurement precision across all traffic parameters.
Solution Approach 2:
The electronic toll collection system automatically performs measurement and data collection functions without requiring separate manual measurement devices or additional infrastructure. The same transponders and readers used for toll collection also capture traffic parameters, making the system self-sufficient for both pricing and measurement needs while minimizing added complexity.
Data Source
AI summary
A method and system for providing a feedback based dynamic pricing algorithm with an embedded controller for a HOT (High Occupancy Toll) lane. An input-output transfer function of a vehicle flow with respect to a HOT lane can be obtained utilizing a simulation module. A feedback controller combined with, for example, a Smith predictor can be designed to avoid an unstable behavior due to a time delay in the HOT lane, a price regulation, and a large transient caused by an integral part of the controller due to traffic jams. A driver behavior preference model can be derived based on a relationship between a toll rate and several characteristics of the HOT lane and a general purpose lane. The feedback controller and the behavior preference model can then be implemented to set the toll rate in real-time in order to satisfy a desired performance metric.


