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Showing 1 to 5 of 5 for “"heavy-traffic limit"”.

  1. Heavy Traffic Limit Theorems for the Closed Lu -Kumar Network

    We also prove a functional central limit theorem for Markov additive processes. This theorem is used to produce the heavy traffic limit theorem for the queue length process in the subcritical case.

    uiuc Repository record for Heavy Traffic Limit Theorems for the Closed Lu -Kumar Network (opens in a new tab)

  2. Resource Allocation for Quality of Service in a Heterogeneous Network

    … which can do so. In the proof we use the fluid limit technique, along with a separation of time scales argument. Namely, the proof of the desired property of a ""conventional"" fluid limit involves a study of a different fluid limit on a ""finer"" time scale. Further, we show that in a heavy …

    uiuc Repository record for Resource Allocation for Quality of Service in a Heterogeneous Network (opens in a new tab)

  3. Asymptotic Analysis and Performance-based Design of Large Scale Service and Inventory Systems

    … dissertation, I use many-server and conventional heavy-traffic limit theory to derive asymptotically optimal capacity decisions, giving the desired level of delay and availability performance with minimum investment. The results provide near-optimal solutions and insights to otherwise analytically …

    duke Repository record for Asymptotic Analysis and Performance-based Design of Large Scale Service and Inventory Systems (opens in a new tab)

  4. Many-Server Queues with Time-Varying Arrivals, Customer Abandonment, and non-Exponential Distributions

    This thesis develops deterministic heavy-traffic fluid approximations for many-server stochastic queueing models. The queueing models, with many homogeneous servers working independently in parallel, are intended to model large-scale service systems such as call centers and health care systems. …

    columbia-diss Repository record for Many-Server Queues with Time-Varying Arrivals, Customer Abandonment, and non-Exponential Distributions (opens in a new tab)