Advanced Technique for MRM multiresolution models

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Advanced Technique for MRM (multi-resolution
models)
Paper Number 01S-SIW-053 25-30 March 2001
Satoshi SEKINE TOSHIBA CorporationTokyo,
JAPAN81-(0)42-340-6418satoshi.sekine_at_toshiba.co
.jp
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Contents

• Introduction
• Background and Objectives
• Methodology
• Apply to the traffic simulation
• Prototype
• Conclusion and Future works

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Introduction

• Multi-resolution model(MRM) is simulation model
  which has various kind of resolution.

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Background and Objectives

• MRM simulation is very useful to evaluate huge
  and complex systems
• Many research and development about MRM.
• But, few study about the method to determine the
  resolution of models.
• This paper presents a framework to decide the
  resolution of models.

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Methodology

• Entity-level model high resolution
• Accurate conclusion
• Much time to calculate and computer resources
• Aggregate model low resolution
• Inaccurate conclusion
• Save the time to calculate and computer
  resources.
• We have to decide an adequate resolution of
  models to analyze the system.

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Framework

• Select the simulation model according to the
  conditions or the state variables.

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Select models

• Examples of Condition to select the simulation
  model
• Position or area in Simulation space.
• Time or period in Simulation time.
• The specific state variables of simulation
  models.
• We can also change the resolution of models
  dynamically.

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Apply to the traffic simulation

• Aggregate models represent a party of several
  vehicles or a flow.
• Entity-level models represent individual vehicle
  and its behavior or the relationship.

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Aggregate model

• Block density model
• Divide the road (link) as small parts (blocks).
• The traffic flow closely to a fluid.
• Define the Q-K relationship of traffic quantity
  and block density.
• Calculate the traffic flow based on the Q-K
  relationship and preservation law of traffic.

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Block density model

• Calculate the traffic between blocks based on the
  Q-K relationship and preservation law of traffic

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Entity-level model

• Road and vehicle model
• Represents the vehicle controller and dynamics
• Includes state variables such as position,
  velocity
• Switch the velocity and head to head distance
  control.

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Aggregation and disaggregation

• Aggregation
• The density of block
• Traffic quantity at the exit of block
• Disaggregation
• The number of vehicle
• The vehicle velocity
• Vehicles running on the block with equal distance

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Prototype configuration

• Prototype simulator to verify to the proposed MRM
  simulation system.
• Class configuration.
• MrmSim, Field, Block, Vehicle
• Implemented as an applet of Java language.

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Prototype GUI

• Gray color represents the aggregate model.
• White background represents the entity-level
  model.
• A vertical short dash is a vehicle.
• Buttons which control the simulation execution.

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Two simulation examples

• We show two examples of traffic simulation by the
  prototype simulator.
• Case 1
• Simulation model is selected according to the
  vehicle position.
• Case 2
• Simulation model is selected according to the
  block density.

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Simulation case1

• Selecting according to the vehicle position

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Simulation case2

• Selecting according to the traffic density

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Conclusion

• The MRM simulation system which determine the
  resolution of the models according to state
  variables of simulation objects or environment
  situations.
• Application to the traffic simulation and the
  prototype of simple traffic simulator
• Show two examples of simulation which verify the
  usefulness of this method.

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Future works

• Investigation to the more complex traffic
  networks
• Analyze the amount of calculation and computer
  resources concretely
• Application to another fields.

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Contacts
Satoshi SEKINE TOSHIBA CorporationSystem
Integration Technology Center 3-22,
Katamachi Fuchu,TokyoJAPANPhone
81-(0)42-340-6418Facsimile 81-(0)42-340-6013E
-mail satoshi.sekine_at_toshiba.co.jp
Makoto KANOU makoto.kanou_at_toshiba.co.jp
Akira HIGASHIDEakira.higashide_at_toshiba.co.jp
Michihiko OGATA miki.ogata_at_toshiba.co.jp