42 research outputs found

    The M/G/k

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    Insensitivity of generalized semi-markov processes evolving in a random environment

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    The theory of insensitivity within generalized semi-Markov processes is extended to cover the case where such a process evolves in a random environment; that is, when the decay rates and transition probabilities are functions of the state of an extraneous environmental process. © 1991, Operational Research Society Ltd

    A generalization of symmetric queues

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    Well known insensitivity results for symmetric queues are extended to the case where the relevant parameters are functions of the numbers of customers of various types present in the queue. © 1998 Elsevier Science B.V

    The symmetric M/G/k loss system with heterogeneous servers

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    For an M/G/k loss system having non-identical servers and customers of various types showing server preferences, the equilibrium distribution of busy servers is derived and it is shown to be insensitive to the form of the service requirement distributions. Copyright © 1996 Elsevier Science Ltd
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