TAILIEUCHUNG - Lecture Networking theory & fundamentals - Chapter 3

The following will be discussed in this chapter: Markov chains, discrete-time markov chains, calculating stationary distribution, global balance equations, detailed balance equations, birth-death process, generalized markov chains, continuous-time markov chains. | Lecture Networking theory & fundamentals - Chapter 3 TCOM 501: Networking Theory & Fundamentals Lecture 3 January 29, 2003 Prof. Yannis A. Korilis 1 3-2 Topics Markov Chains Discrete-Time Markov Chains Calculating Stationary Distribution Global Balance Equations Detailed Balance Equations Birth-Death Process Generalized Markov Chains Continuous-Time Markov Chains 3-3 Markov Chain Stochastic process that takes values in a countable set Example: {0,1,2, ,m}, or {0,1,2, } Elements represent possible “states” Chain “jumps” from state to state Memoryless (Markov) Property: Given the present state, future jumps of the chain are independent of past history Markov Chains: discrete- or continuous- time 3-4 Discrete-Time Markov Chain Discrete-time stochastic process {Xn: n = 0,1,2, } Takes values in {0,1,2, } Memoryless property: P{ X n +1 = j

• Quản trị mạng
• Networking theory
• Queueing Theory
• Lecture Networking theory
• Markov Chains
• Discrete time markov chains
• Global balance equations
• Packet networks
• Probability theory
• The poisson process
• Little’s Theorem
• Sojourn Times
• Time Averages
• Time reversal of Markov Chains
• Reversible markov chain
• Open jackson networks
• Network flows
• State dependent service rates
• Closed jackson networks
• Convolution algorithm
• Arrival theorem for closed networks
• Pollaczek khinchin formula
• Embedded markov chain
• Priority queueing
• Routing in data network
• Graph representation of a network
• Undirected graphs
• Processing delay
• Delay models
• Network layer
• Propagation delay
• Transmission delay
• Queueing delay
• Adavanced Java networking
• java programming
• java programming experience
• technical java programming
• java programming tutorial
• java programming document
• java programming theory
• Network Programming
• Distributed Computing
• networking API
• Web applications
• Web services
• Java Fundamentals
• Java Overview
• Data Streams
• Internet Addressin
• Datagram Protoco
• Control Protocol
• công nghệ thông tin
• tin học
• mạng
• internet
• web
• quản trị mạng
• theory of spread spectrum
• wireless optical communication system
• telecommunication materials
• fiber materials
• fiber construction
• fiber optic transmission lines
• telecommunication network management
• data transmission
• lý thuyết mạng
• mạng căn bản
• mạng máy tính
• hệ thống mạng
• mạng Lan