An exact analysis of the multi-class M/M/k priority queue with partial blocking

A. Sleptchenko, A. Van Harten, M. C. Van der Heijden

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    6 Scopus citations


    We consider a multi-server queuing model with two priority classes that consists of multiple customer types. The customers belonging to one priority class customers are lost if they cannot be served immediately upon arrival. Each customer type has its own Poisson arrival and exponential service rate. We derive an exact method to calculate the steady state probabilities for both preemptive and nonpreemptive priority disciplines. Based on these probabilities, we can derive exact expressions for a wide range of relevant performance characteristics for each customer type, such as the moments of the number of customers in the queue and in the system, the expected postponement time and the blocking probability. We illustrate our method with some numerical examples.

    Original languageBritish English
    Pages (from-to)527-548
    Number of pages22
    JournalStochastic Models
    Issue number4
    StatePublished - 2003


    • Loss systems
    • Markov processes
    • Multi-class
    • Priority queues


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