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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Queueing systems 13 (1993), S. 5-40 
    ISSN: 1572-9443
    Keywords: Multiclass open queueing network ; Brownian system model ; reflected Brownian motion ; heavy traffic approximation ; heavy traffic scaling ; sojourn time distribution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This paper is concerned with Brownian system models that arise as heavy traffic approximations for open queueing networks. The focus is on model formulation, and more specifically, on the formulation of Brownian models for networks with complex routing. We survey the current state of knowledge in this dynamic area of research, including important open problems. Brownian approximations culminate in estimates of complete distributions; we present numerical examples for which complete sojourn time distributions are estimated, and those estimates are compared against simulation.
    Type of Medium: Electronic Resource
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