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EE4E,M.Sc. C Programming

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The ACO algorithm has proved to be an effective approach with performances close to optimal Travelling Salesman Problem Ants distribute an amount of pheremone on ... – PowerPoint PPT presentation

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Title: EE4E,M.Sc. C Programming


1
EE4E,M.Sc. C Programming
  • Assignment Introduction

2
Assignment Introduction
  • Aims/Objectives
  • To produce a C implementation of the ANT colony
    optimisation algorithm (ACO)
  • To apply to the travelling salesman problem

3
ANT algorithms
4
ANT algorithms
  • Ants are practically blind but they still manage
    to find their way to and from food. How do they
    do it?
  • These observations inspired a new type of
    algorithm called ant algorithms (or ant systems)
  • These algorithms are very new (Dorigo, 1996) and
    is still very much a research area

5
ANT algorithms
  • Ant systems are a population based approach. In
    this respect it is similar to genetic algorithms
  • There is a population of ants, with each ant
    finding a solution and then communicating with
    the other ants

6
ANT algorithms
  • Real ants can find the shortest path to a food
    source by laying a pheromone trail
  • The ants which take the shortest path, lay the
    largest amount of pheromone per unit time
  • Positive feedback reinforces this behaviour and
    more ants take the shortest path resulting in
    more pheromone being laid

7
Travelling Salesman Problem
  • Classic discrete optimisation problem
  • Salesman needs to visit all cities just once and
    return back home

8
Travelling Salesman Problem
  • N cities -gt (N-1)! routes
  • Currently TSPs involving 1000s cities are being
    studied
  • You should restrict your algorithm to problems
    with lt100 cities!
  • The ACO algorithm has proved to be an effective
    approach with performances close to optimal

9
Travelling Salesman Problem
  • Ants distribute an amount of pheremone on each
    part of its route in inverse proportion to the
    length of the route
  • Doesnt quite mimic the behaviour of real ants!
  • Typically the number of ants number of cities
  • After every iteration t (all ants complete their
    routes), the pheremone trails are updated and new
    ants are generated

10
Travelling Salesman Problem
  • In practice, applying ACO to TSP is a compromise
    between reinforcing previous ant behaviour and
    exploring new solutions
  • Probabilistic decisions
  • Pheromone evaporation

11
Implementation
  • Use any convenient programming platform
  • Think about presentation of results and user
    interfaces
  • Console based I/O ok but GUIs more flexible and
    user friendly
  • Important to separate out ANT-based classes and
    the problem domain (TSP) classes so that either
    can be used separately

12
Assessment
  • Programming report (deadlines are on the handout)
  • Follow closely the marking pro-forma
  • The report should contain discussions about
    object orientation, code re-useability, object
    interaction, algorithm performance and
    comparisons (close to optimal?)
  • A formal design discussion is not expected but
    informal class/object diagrams and pseudo-code
    should be used

13
Assessment
  • Include with your report your software with
    enough information to allow me to run it
  • Maybe include a user guide
  • I will base the marks partly on the observed
    functionality
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