-- It corresponds to model MachRep2 described in document
-- Introduction to Discrete-Event Simulation and the SimPy Language
-- [http://heather.cs.ucdavis.edu/~matloff/156/PLN/DESimIntro.pdf].
-- SimPy is available on [http://simpy.sourceforge.net/].
--
-- The model description is as follows.
--
-- Two machines, but sometimes break down. Up time is exponentially
-- distributed with mean 1.0, and repair time is exponentially distributed
-- with mean 0.5. In this example, there is only one repairperson, so
-- the two machines cannot be repaired simultaneously if they are down
-- at the same time.
--
-- In addition to finding the long-run proportion of up time as in
-- model MachRep1, letâ€™s also find the long-run proportion of the time
-- that a given machine does not have immediate access to the repairperson
-- when the machine breaks down. Output values should be about 0.6 and 0.67.
import Control.Monad
import Control.Monad.Trans
import Simulation.Aivika.Trans
import Simulation.Aivika.IO
meanUpTime = 1.0
meanRepairTime = 0.5
specs = Specs { spcStartTime = 0.0,
spcStopTime = 1000.0,
spcDT = 1.0,
spcMethod = RungeKutta4,
spcGeneratorType = SimpleGenerator }
model :: Simulation IO (Results IO)
model =
do -- number of times the machines have broken down
nRep <- newRef 0
-- number of breakdowns in which the machine
-- started repair service right away
nImmedRep <- newRef 0
-- total up time for all machines
totalUpTime <- newRef 0.0
repairPerson <- newFCFSResource 1
let machine =
do upTime <-
liftParameter $
randomExponential meanUpTime
holdProcess upTime
liftEvent $
modifyRef totalUpTime (+ upTime)
-- check the resource availability
liftEvent $
do modifyRef nRep (+ 1)
n <- resourceCount repairPerson
when (n == 1) $
modifyRef nImmedRep (+ 1)
requestResource repairPerson
repairTime <-
liftParameter $
randomExponential meanRepairTime
holdProcess repairTime
releaseResource repairPerson
machine
runProcessInStartTime machine
runProcessInStartTime machine
let upTimeProp =
do x <- readRef totalUpTime
y <- liftDynamics time
return $ x / (2 * y)
immedProp =
do n <- readRef nRep
nImmed <- readRef nImmedRep
let x :: Double
x = fromIntegral nImmed /
fromIntegral n
return x
return $
results
[resultSource
"upTimeProp"
"The long-run proportion of up time (~ 0.6)"
upTimeProp,
--
resultSource
"immedProp"
"The proption of time of immediate access (~0.67)"
immedProp]
main =
printSimulationResultsInStopTime
printResultSourceInEnglish
model specs