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Quan-Lin Li

  1. Super-Exponential Solution in Markovian Supermarket Models: Framework and Challenge.

    Tue, 06/07/2011 - 15:01 — SomNambul
    Authors: Quan-Lin Li
    Subjects: Networking and Internet Architecture
    Abstract

    Marcel F. Neuts opened a key door in numerical computation of stochastic
    models by means of phase-type (PH) distributions and Markovian arrival
    processes (MAPs). To celebrate his 75th birthday, this paper reports a more
    general framework of Markovian supermarket models, including a system of
    differential equations for the fraction measure and a system of nonlinear
    equations for the fixed point.

  2. A Matrix-Analytic Solution for Randomized Load Balancing Models with Phase-Type Service Times.

    Tue, 01/25/2011 - 16:01 — SomNambul
    Authors: Quan-Lin Li, Yang Wang, John C.S. Lui
    Subjects: Networking and Internet Architecture
    Abstract

    In this paper, we provide a matrix-analytic solution for randomized load
    balancing models (also known as \emph{supermarket models}) with phase-type (PH)
    service times. Generalizing the service times to the phase-type distribution
    makes the analysis of the supermarket models more difficult and challenging
    than that of the exponential service time case which has been extensively
    discussed in the literature.

  3. Doubly Exponential Solution for Randomized Load Balancing Models with Markovian Arrival Processes and PH Service Times.

    Tue, 09/28/2010 - 15:01 — SomNambul
    Authors: Quan-Lin Li
    Subjects: Discrete Mathematics
    Abstract

    In this paper, we provide a novel matrix-analytic approach for studying
    doubly exponential solution of randomized load balancing models (also known as
    the supermarket models) with Markovian arrival processes (MAPs) and PH service
    times. We describe the supermarket model as a system of differential vector
    equations, and obtain a close-form solution: doubly exponential structure, for
    the fixed point of the system of differential vector equations.

  4. Doubly Exponential Solution for Randomized Load Balancing Models with General Service Times.

    Tue, 08/24/2010 - 15:02 — SomNambul
    Authors: Quan-Lin Li
    Subjects: Discrete Mathematics
    Abstract

    In this paper, we provide a novel and simple approach to study the
    supermarket model with general service times.

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