Example 3: Queueing system (2)

• Mathematical problem:
  • states and output values undefined at t = 1
  • more concrete:
    • several states and outputs at the same time
• Reality check:
  • signal transports and state changes need a small time delay
  • steps in event cascades happen at increasing times
  • problem for modeling
    • lots of unknown tiny parameters
• Extended Model in NSA-DEVS (Junglas 2020):
  • basic idea (Barros 2016)
    • use hyperreal numbers *R for time values
    • add infinitesimal delays for signal transport and state changes
  • often a default delay ε is sufficient almost everywhere
  • simulator has to be adapted accordingly
  • queueing example is easily adapted
    • delay of state change in queue has to be enlarged to guarantee correct order of events