On Waiting-time Distributions in Priority Queues when Service Orientation Times Occur |
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according assumed assumptions busy cycle busy period COAA completion consider continues CORNE CORNELL CORNELL CORNELL LIBRARY CORNELL UNIVERSITY CÛAA customer arriving customer of type defined definition departure derivation described determined discipline distribution function duration elements equation expected express FOUNDED Gaver given Hence idle period independent initial instant interruptions Laplace-Stieltjes transform Lemma Let us denote LIBRARY long-run idle probability low-priority customer Markov matrix means N(TO N₁(t noted obtained occur orientation Poisson process positive possibility preemptive present priority problem queueing random variables recurrent refer respectively result rule semi-Markov sequence served server server oriented setup single starting Statistics Substituting successive t)e-Apt term terminate Theorem thesis type A customer UNIVER UNIVERSITY CORNELL values waiting waiting-time distribution zero ΑΑ оо