交通规则论文

Байду номын сангаас Team #29084
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CONTENT
Introduction.............................................................................................................3 Background............................................................................................................. 3 Variables & Assumption......................................................................................... 4 Variables...............................................................................................................4 Assumption.......................................................................................................... 4 Performance of KREP Rule....................................................................................5 Overview..............................................................................................................5 Cellular automaton traffic flow model................................................................ 5 Moving step.......................................................................................................6 1.Updating all cars’ velocities....................................................................... 6 2.Updating all vehicles’ sites.........................................................................6 Lane changing steps......................................................................................... 6 1.Safe following distance (gaps)................................................................... 7 Safe following distance on the same lane.................................................. 7 Safe following distance in the different lane........................................... 10 2.Minimum velocity of the overtaking vehicle...........................................12 Optimization model for the minimum speed of overtaking vehicles...... 12 Lane-changing constraint...................................................................... 12 Overtaking constraint............................................................................ 13 Merging constraint.................................................................................13 Mathematical model.............................................................................. 14
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29084
Problem Chosen
Team Control Number
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Team #29084
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3. Lane-changing rules................................................................................ 14 1) the rules for first lane..........................................................................15 2) the rules for the second lane...............................................................15 3) The rules for the third lane................................................................. 15 Simulation and discussion on computer numeric............................................. 15 The flow and velocity......................................................................................16 Flow with the safety gaps and occupied rates............................................... 16 Keep Left unless Passing......................................................................................16 Performance in Intelligent Transportation System...............................................17 The model for the intelligent transportation system......................................... 17 Conclusion............................................................................................................ 18 Strengths and Weaknesses.................................................................................... 18 Strengths............................................................................................................ 18 Weaknesses........................................................................................................ 18 Reference.............................................................................................................. 18
A
2014 Mathematical Contest in Modeling (MCM) Summary Sheet (Attach a copy of this page to your solution paper.)
Summary
Traffic rules play a significant role in the transportation system which is part of human life. Therefore, it is necessary to study whether or not carrying out the rules can benefit the operation of traffic system. Keep-right-except-passing rule is adopted to manage the traffic in many countries. And we develop traffic flow models based on the cellular automaton theory to analyze the performance of this rule. Meanwhile, we propose improvement measurement based on the simulation results. To evaluate the performance of the rule as accurately as possible, we develop a cellular automata model combined with the requirements of safety and lane changing process. Besides, we simulate the relationship between flow density and velocity, safety gaps and occupied rates of lanes, and draw conclusions that Lane changing is the emphasis and difficulty of multi-lane freeway traffic flow, and we divide this process into two parts according to the situation of vehicle during changing lanes, on the same lanes and on the different lane. We respectively discuss the safety following distance without corner collision and side collision as well as velocity limits in the whole process of lane changing. For the case of keep-left-except-passing rule, we analysis the variation of lane changing rule and safety following distance in this circumstance, Based on this, we draw a conclusion that our solution can be carried over with a simple change of orientation. Intelligent transportation system Key words traffic flow, lane changing, overtaking rule, cellular automata