• Media type: E-Article
  • Title: Periodic steady state of loss systems with periodic inputs
  • Contributor: Willie, Helmut
  • Published: Cambridge University Press (CUP), 1998
  • Published in: Advances in Applied Probability, 30 (1998) 1, Seite 152-166
  • Language: English
  • DOI: 10.1239/aap/1035227997
  • ISSN: 0001-8678; 1475-6064
  • Keywords: Applied Mathematics ; Statistics and Probability
  • Origination:
  • Footnote:
  • Description: The input of a multiserver loss system is assumed to be a periodic random marked point process which has, with probability one, infinitely many construction points. It is shown that, independently of the initial distribution, there exists a unique periodic process modeling the periodic steady-state behaviour of the loss system. In addition, practical sufficient conditions for the existence of enough construction points are derived.