Abstract

In this paper, we consider two Palm measures P a, P d which are strictly stationary for the time se- quences {an}:=-~' {dn}:=-~ respectively, where {an} and {dn} are the time sequences of arrival times and of departure times respectively at a certain station in the given network. And we give a sufficient condition for two events B' and B to hold P a (B) = P d (B '). This result means that some statistics of a customer who arrives at the station in an equilibrium state can be evaluated by the measure P d, and we apply this result to obtain a ramification of the theory of Burke (3 J and Reich (11 J about tandem queues, and new properties of residual sojourn times in Jackson type networks etc.

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