贝叶斯网(例子打印机系统诊断模型)

Designing a computer system diagnosis model

打印机故障诊断模型
总结
package cn.edu.gdut.ppl.figaro.test

import com.cra.figaro.algorithm.factored.VariableElimination
import com.cra.figaro.language._
import com.cra.figaro.library.compound._



/**
  * Created by HuGuodong on 2017/12/20.
  */

object PrinterProblem {

  val printerPowerButtonOn = Flip(0.95)
  val tonerLevel = Select(0.7 -> 'high, 0.2 -> 'low, 0.1 -> 'out)
  val tonerLowIndicatorOn =
    If(printerPowerButtonOn,
      CPD(tonerLevel,
        'high -> Flip(0.2),
        'low -> Flip(0.6),
        'out -> Flip(0.99)),
      Constant(false))
  val paperFlow = Select(0.6 -> 'smooth, 0.2 -> 'uneven, 0.2 -> 'jammed)
  val paperJamIndicatorOn =
    If(printerPowerButtonOn,
      CPD(paperFlow,
        'smooth -> Flip(0.1),
        'uneven -> Flip(0.3),
        'jammed -> Flip(0.99)),
      Constant(false))
  val printerState =
    Apply(printerPowerButtonOn, tonerLevel, paperFlow,
      (power: Boolean, toner: Symbol, paper: Symbol) => {
        if (power) {
          if (toner == 'high && paper == 'smooth) 'good
          else if (toner == 'out || paper == 'out) 'out
          else 'poor
        } else 'out
      })

  val softwareState = Select(0.8 -> 'correct, 0.15 -> 'glitchy, 0.05 -> 'crashed)

  val networkState = Select(0.7 -> 'up, 0.2 -> 'intermittent, 0.1 -> 'down)

  val userCommandCorrect = Flip(0.5)

  val numPrintedPages = RichCPD(userCommandCorrect, networkState,
      softwareState, printerState,
      (*, *, *, OneOf('out)) -> Constant('zero),
      (*, *, OneOf('crashed),*) -> Constant('zero),
      (*, OneOf('down), *, *) -> Constant('zero),
      (OneOf(false), *, *, *) -> Select(0.3 -> 'zero, 0.6 -> 'some, 0.1 -> 'all),
      (OneOf(true), *, *, *) -> Select(0.01 -> 'zero, 0.01 -> 'some, 0.98 -> 'all))

  val printsQuickly = Chain(networkState, softwareState,
    (network: Symbol, software: Symbol) =>
      if (network == 'down || software == 'crashed)
        Constant(false)
      else if (network == 'down || software == 'crashed)
        Flip(0.5)
      else Flip(0.9))

  val goodPrintQuality = CPD(printerState,
    'good -> Flip(0.95),
    'poor -> Flip(0.3),
    'out -> Constant(false))

  val printResultSummary =
    Apply(numPrintedPages, printsQuickly, goodPrintQuality,
      (pages: Symbol, quickly: Boolean, quality: Boolean) =>
        if (pages == 'zero) 'none
        else if (pages == 'some || !quickly || !quality) 'poor
        else 'excellent)

  def step1() {
    val answerWithNoEvidence = VariableElimination.probability(printerPowerButtonOn, true)
    println("Prior probability the printer power button is on = " + answerWithNoEvidence)
  }

  def step2() {
    printResultSummary.observe('poor)
    val answerIfPrintResultPoor = VariableElimination.probability(printerPowerButtonOn, true)
    println("Probability the printer power button is on given a poor result = " + answerIfPrintResultPoor)
  }

  def step3() {
    printResultSummary.observe('none)
    val answerIfPrintResultNone = VariableElimination.probability(printerPowerButtonOn, true)
    println("Probability the printer power button is on given empty result = " + answerIfPrintResultNone)
  }

  def step4() {
    printResultSummary.unobserve()
    printerState.observe('out)
    val answerIfPrinterStateOut = VariableElimination.probability(printerPowerButtonOn, true)
    println("Probability the printer power button is on given " + "out printer state = " + answerIfPrinterStateOut)

    printResultSummary.observe('none)
    val answerIfPrinterStateOutAndResultNone = VariableElimination.probability(printerPowerButtonOn, true)
    println("Probability the printer power button is on given out printer state and empty result = " + answerIfPrinterStateOutAndResultNone)
  }

  def step5() {
    printResultSummary.unobserve()
    printerState.unobserve()
    val printerStateGoodPrior = VariableElimination.probability(printerState, 'good)
    println("Prior probability the printer state is good = " + printerStateGoodPrior)

    tonerLowIndicatorOn.observe(true)
    val printerStateGoodGivenTonerLowIndicatorOn = VariableElimination.probability(printerState, 'good)
    println("Probability printer state is good given low toner indicator = " + printerStateGoodGivenTonerLowIndicatorOn)
  }

  def step6() {
    tonerLowIndicatorOn.unobserve()
    val softwareStateCorrectPrior = VariableElimination.probability(softwareState, 'correct)
    println("Prior probability the software state is correct = " + softwareStateCorrectPrior)

    networkState.observe('up)
    val softwareStateCorrectGivenNetworkUp = VariableElimination.probability(softwareState, 'correct)
    println("Probability software state is correct given network up = " + softwareStateCorrectGivenNetworkUp)
  }

  def step7() {
    networkState.unobserve()
    printsQuickly.observe(false)
    val softwareStateCorrectGivenPrintsSlowly = VariableElimination.probability(softwareState, 'correct)
    println("Probability software state is correct given prints slowly = " + softwareStateCorrectGivenPrintsSlowly)

    networkState.observe('up)
    val softwareStateCorrectGivenPrintsSlowlyAndNetworkUp = VariableElimination.probability(softwareState, 'correct)
    println("Probability software state is correct given prints slowly and network up = " + softwareStateCorrectGivenPrintsSlowlyAndNetworkUp)
  }

  def main(args: Array[String]) {
    step1()
    step2()
    step3()
    step4()
    step5()
    step6()
    step7()
  }
}

Prior probability the printer power button is on = 0.95
Probability the printer power button is on given a poor result = 1.0
Probability the printer power button is on given empty result = 0.8692071435134426
Probability the printer power button is on given out printer state = 0.6551724137931032
Probability the printer power button is on given out printer state and empty result = 0.6551724137931032
Prior probability the printer state is good = 0.39899999999999997
Probability printer state is good given low toner indicator = 0.23398328690807801
Prior probability the software state is correct = 0.8
Probability software state is correct given network up = 0.7999999999999999
Probability software state is correct given prints slowly = 0.6594360086767895
Probability software state is correct given prints slowly and network up = 0.5517241379310345

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