Complementary and equivalence in finite source queueing models with spares

In this paper, the concepts of complementarity and equivalence in finite source queueing models with spares are formalized. The relationship between two finite source queueing models with spares is established. It is shown that all the well known relationships between queueing systems involving finite capacity and finite source are special cases of the more general results presented here. Relationships between arrival point probabilities and measures of performance for such related queueing systems are also derived.