A note on the pseudoconservation laws for cyclic service systems with limited service disciplines

A cyclic service system with the limited service discipline, where up to a fixed number k of messages can be served at each visit to each queueing station is presented. This limit may be utilized in exhaustive or gated mode. A pseudoconservation law is derived for the exhaustive form of limited service, and a derivation is provided for the gated form of limited service.<
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