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We consider a system with a single queue and multiple server pools of heterogenous exponential servers. The system operates under a policy that always routes a job to the pool with longest cumulative idleness among pools with available servers, in an attempt to achieve fairness toward servers. It is easy to find examples of a system with a fixed number of(More)
In the first part of this paper, we give two characterizations of the multiparameter Poisson process: one characterization of poisson process using the renewal property in the space R+, and the other one using the exponential distributions of random areas of rectangles. Finally, we generalize partly a characterization of the randommeasure associated with a(More)
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