Documentation.SBV.Examples.Optimization.VM

Solves a VM allocation problem using optimization features

Documentation

allocate :: Goal

The allocation problem. Inspired by: http://rise4fun.com/Z3/tutorialcontent/optimization#h25

• We have three virtual machines (VMs) which require 100, 50 and 15 GB hard disk respectively.
• There are three servers with capabilities 100, 75 and 200 GB in that order.

• Find out a way to place VMs into servers in order to

  • Minimize the number of servers used
  • Minimize the operation cost (the servers have fixed daily costs 10, 5 and 20 USD respectively.)

We have:

>>> optimize Lexicographic allocate
Optimal model:
  x11         = False :: Bool
  x12         = False :: Bool
  x13         =  True :: Bool
  x21         = False :: Bool
  x22         = False :: Bool
  x23         =  True :: Bool
  x31         = False :: Bool
  x32         = False :: Bool
  x33         =  True :: Bool
  noOfServers =     1 :: Integer
  cost        =    20 :: Integer

That is, we should put all the jobs on the third server, for a total cost of 20.