2014 MCM

Staff Control Number

For workplace use only

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31285

Problem Chosen

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2014 Statistical Contest in Modeling (MCM) Summary Linen

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Type a summary of your outcomes on this web page. Do not consist of

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Simulation-based Evaluation and Intelligent

Improvement of Transferring Lane Control

In this conventional paper, we expose NaSch version which is depending on Cellular Automata as well as build Model I and Version II with the base from the single-lane style to reproduce the road status. By simulating these two models and studying the overall performance of the offered rule in light and weighty traffic correspondingly, we bring the following two conclusions: fewer lanes are used fully in light traffic as compared to heavy targeted traffic; too many lanes are not necessary instead 4 are enough. We also assess the tradeoffs between visitors flows and safety and assert which the traffic flow can be low if the speed restriction is over-low, but over-high speed constraint do not means a higher traffic flow. Short secure distance does make sense to get improving the traffic flow because the speed level becomes high. Meanwhile, in addition, it means low safety level, which is harmful in reality.

All of us compare each of our multi-lane designs following Keep-Right-Except-To-Pass Rule (short for KRETP) with designs following prevalent lane-changing guidelines. We find KRETP Rule not effective to promote better the flow of visitors in long work but it does work when there are not so many vehicles. An index called Individual's Passing Efficiency Average (short for IPEA) is defined with which we are able to measure the use ratio of the highest velocity of cars. Models with KRETP Secret have the top IPEA meaning it works pretty well in this feature.

With a straightforward change of orientation, the models that we build could be carried for the situations with vehicles driven on the left. If perhaps more circumstances, like the effect of dominant hands, are taken into consideration, some added requirements are needed.

All of us design a lot of algorithms to serve as the intelligent program to control the car transportation. Reproduce Anneal Arithmetic Method can easily improve the traffic flow during the starting time video poker machines and offers high traffic in long manage. But this kind of algorithm will take too much time to compute and the IPEA is definitely not rewarding. An carried away algorithm, which includes an acceptable IPEA, can promote the traffic flow nearly as high as the Reproduce Anneal Arithmetic Method. Inside our opinion, this greedy protocol is a appropriate choice to get the smart system to perform global control on automobile transportation.

Staff # 31285

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Contents

1

Introduction....................................................................... three or more

2

Past work.................................................................... four 2 . 1 Single-lane Version.............................................................

4

2 . 2 Multi-lane Model..............................................................

four

3

Restatement and Examination of the Trouble.......................... 5

some

The Basic Presumption........................................................ 6

a few

Model................................................................................. eight 5. you NaSch Style....................................................................

8

your five. 2 Improved Model I.............................................................

8

a few. 3 Superior Model II............................................................ 10

six

Model Ruse and Research......................................... 11 6th. 1 Style II.......................................................................... 10 6. two Comparison between Effects of Several rules...

References: [1] Nagel K, Schreckenberg M. A cellular automaton model for freeway traffic[J]. Diary de Body I, 1992, 2(12): 2221-2229.

[3] Statistical Models[M]. HIGHER EDUCATION PRESS, 1993.

Subject and Complicated Systems, 1998, 5(3): 793-800.

[8] Wolfram S. Theory and applying cellular automata[J]. 1986.

[11] Nagel K, Wolf D E, Wagner S, et approach. Two-lane traffic rules intended for cellular automata: A systematic approach[J]. Physical Review Electronic, 1998, 58(2): 1425.

[14] Bertsimas M, Tsitsiklis M. Simulated annealing[J]. Record Science, 1993:

10-15.