| (!******************************************************
   Mosel User Guide Example Problems
   ================================= 
   file transport.mos
   ``````````````````
   Using dynamic arrays.
   
   (c) 2008 Fair Isaac Corporation
       author: S.Heipcke, 2001, rev. Dec 2009
*******************************************************!)
model Transport
 uses "mmxprs"
 declarations
  REGION: set of string                 ! Set of customer regions
  PLANT: set of string                  ! Set of plants
  DEMAND: array(REGION) of real         ! Demand at regions
  PLANTCAP: array(PLANT) of real        ! Production capacity at plants
  PLANTCOST: array(PLANT) of real       ! Unit production cost at plants
  TRANSCAP: dynamic array(PLANT,REGION) of real
                                        ! Capacity on each route plant->region
  DISTANCE: dynamic array(PLANT,REGION) of real
                                        ! Distance of each route plant->region
  FUELCOST: real                        ! Fuel cost per unit distance
  flow: dynamic array(PLANT,REGION) of mpvar    ! Flow on each route
 end-declarations
 
 initializations from 'transprt.dat'
  DEMAND
  [PLANTCAP,PLANTCOST] as 'PLANTDATA'
  [DISTANCE,TRANSCAP] as 'ROUTES'
  FUELCOST
 end-initializations
 
! Create the flow variables that exist
 forall(p in PLANT, r in REGION | exists(TRANSCAP(p,r)) ) create(flow(p,r))
 
! Objective: minimize total cost
 MinCost:= sum(p in PLANT, r in REGION | exists(flow(p,r))) 
            (FUELCOST * DISTANCE(p,r) + PLANTCOST(p)) * flow(p,r)
 
! Limits on plant capacity
 forall(p in PLANT) sum(r in REGION) flow(p,r) <= PLANTCAP(p)
! Satisfy all demands
 forall(r in REGION) sum(p in PLANT) flow(p,r) = DEMAND(r)
 
! Bounds on flows
 forall(p in PLANT, r in REGION | exists(flow(p,r))) 
  flow(p,r) <= TRANSCAP(p,r)
 
 minimize(MinCost)                       ! Solve the problem
! Solution printing
 writeln("Total Cost: ", getobjval) 
 forall(p in PLANT, r in REGION | exists(flow(p,r)) )
  writeln(p, " -> ", r,": ", flow(p,r).sol)
end-model
 |