aivika-0.1: examples/MachRep3.hs

-- It corresponds to model MachRep3 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.
--
-- Variation of models MachRep1, MachRep2. 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, and she is not summoned
-- until both machines are down. We find the proportion of up time. It
-- should come out to about 0.45.

import Random
import Control.Monad
import Control.Monad.Trans

import Simulation.Aivika.Dynamics

upRate = 1.0 / 1.0       -- reciprocal of mean up time
repairRate = 1.0 / 0.5   -- reciprocal of mean repair time

specs = Specs { spcStartTime = 0.0,
                spcStopTime = 1000.0,
                spcDT = 1.0,
                spcMethod = RungeKutta4 }
        
exprnd :: Double -> IO Double
exprnd lambda =
  do x <- getStdRandom random
     return (- log x / lambda)
     
model :: Dynamics (Dynamics Double)
model =
  do queue <- newQueue
     
     -- number of machines currently up
     nUp <- newRef queue 2
     
     -- total up time for all machines
     totalUpTime <- newRef queue 0.0
     
     repairPerson <- newResource queue 1
     
     pid1 <- newPID queue
     pid2 <- newPID queue
     
     let machine :: DynamicsPID -> DynamicsProc ()
         machine pid =
           do startUpTime <- liftD time
              upTime <- liftIO $ exprnd upRate
              holdProc upTime
              finishUpTime <- liftD time
              liftD $ modifyRef' totalUpTime 
                (+ (finishUpTime - startUpTime))
                
              liftD $ modifyRef' nUp $ \a -> a - 1
              nUp' <- liftD $ readRef nUp
              if nUp' == 1
                then passivateProc
                else do n <- resourceCount repairPerson
                        when (n == 1) $ reactivateProc pid
              
              requestResource repairPerson
              repairTime <- liftIO $ exprnd repairRate
              holdProc repairTime
              liftD $ modifyRef' nUp $ \a -> a + 1
              releaseResource repairPerson
              
              machine pid

     runProc (machine pid2) pid1 starttime
     runProc (machine pid1) pid2 starttime
     
     let system :: Dynamics Double
         system =
           do x <- readRef totalUpTime
              y <- stoptime
              return $ x / (2 * y)
     
     return system
  
main =         
  do a <- runDynamics1 model specs
     print a