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Dtic Ada624083%3a Load Balancing In Stochastic Networks%3a Algorithms%2c Analysis%2c And Game Theory by Defense Technical Information Center
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1DTIC ADA624083: Load Balancing In Stochastic Networks: Algorithms, Analysis, And Game Theory
By Defense Technical Information Center
The classic randomized load balancing model is the so-called supermarket model, which describes a system in which customers arrive to a service center with n parallel servers according to a Poisson process with rate lamdba-n, where lamba is less than 1. Upon arrival, each customer samples d queues independently and uniformly at random before joining the shortest of those sampled. Customers are served according to a first-in first-out (FIFO) scheduling rule, and their service times are assumed to be mutually independent and exponentially distributed with unit mean mu = 1. Any ties that may occur are broken randomly. When d = 1, the model reduces to a system of n independent M/M/1 queues, for which it is a classical result that the stationary queue length distribution at a single queue is geometric with parameter lambda, and thus has an exponential decay rate. When d greater than or equal to 2, the model is not exactly solvable, but asymptotic results show that as n, the number of servers, goes to infinity, the limiting stationary distribution of a queue decays superexponentially. Moreover, the majority of this gain in performance is already obtained when d = 2. In particular, this shows that with just a slight increase in sampling cost, from d = 1 to d = 2, the performance is almost as good as in the case when all queues are sampled (that is, the Join-the-Shortest-Queue system where d = n). This phenomenon is referred to as the power of two choices, and this classic model is well studied.
“DTIC ADA624083: Load Balancing In Stochastic Networks: Algorithms, Analysis, And Game Theory” Metadata:
- Title: ➤ DTIC ADA624083: Load Balancing In Stochastic Networks: Algorithms, Analysis, And Game Theory
- Author: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA624083: Load Balancing In Stochastic Networks: Algorithms, Analysis, And Game Theory” Subjects and Themes:
- Subjects: ➤ DTIC Archive - BROWN UNIV PROVIDENCE RI - *GAME THEORY - *STOCHASTIC PROCESSES - ALGORITHMS - APPROXIMATION(MATHEMATICS) - DECAY - DIFFERENTIAL EQUATIONS - EXPONENTIAL FUNCTIONS - MATHEMATICAL MODELS - NETWORK ARCHITECTURE - OPTIMIZATION - PERFORMANCE(ENGINEERING) - POISSON EQUATION - PROBABILITY - QUEUEING THEORY - RANDOM VARIABLES - THRESHOLD EFFECTS
Edition Identifiers:
- Internet Archive ID: DTIC_ADA624083
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The book is available for download in "texts" format, the size of the file-s is: 27.01 Mbs, the file-s for this book were downloaded 66 times, the file-s went public at Tue Nov 06 2018.
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