tailieunhanh - Queueing Theory

In general we do not like to wait. But reduction of the waiting time usually requires extra investments. To decide whether or not to invest, it is important to know the e ect of the investment on the waiting time. So we need models and techniques to analyse such this course we treat a number of elementary queueing models. Attention is paid to methods for the analysis of these models, and also to applications of queueing models. Important application areas of queueing models are production systems, transportation and stocking systems, communication systems and information processing systems. Queueing models are particularly useful for the design of. | Queueing Theory Ivo Adan and Jacques Resing Department of Mathematics and Computing Science Eindhoven University of Technology . Box 513 5600 MB Eindhoven The Netherlands February 28 2002 Contents 1 Introduction 7 Examples . 7 2 Basic concepts from probability theory 11 Random variable. 11 Generating function. 11 Laplace-Stieltjes transform. 12 Useful probability distributions . 12 Geometric distribution. 12 Poisson distribution. 13 Exponential distribution. 13 Erlang distribution. 14 Hyperexponential distribution. 15 Phase-type distribution. 16 Fitting distributions . 17 Poisson process. 18 Exercises. 20 3 Queueing models and some fundamental relations 23 Queueing models and Kendall s notation. 23 Occupation rate. 25 Performance measures . 25 Little s law . 26 PASTA property . 27 Exercises. 28 4 M M 1 queue 29 Time-dependent behaviour. 29 Limiting behavior . 30 Direct approach. 31 Recursion . 31 Generating function approach . 32 Global balance principle . 32

• Toán học
• probability theory
• Random variable
• Generating function
• Geometric distribution
• Poisson distribution
• Exponential distribution
• Erlang distribution
• Lecture Probability Theory
• Lý thuyết xác suất
• Extinction Probability for Queues
• Extinction Probability for Martingales
• Axioms of Probability
• Conditional probability
• Properties of conditional probability
• statistical probability
• probability distributions
• probability densities
• combinatorics
• Probability and statistics for engineers
• Probability and statistics for scientists
• Probability and statistics
• Elements of probability
• Parameter estimation
• Descriptive statistics
• Fuzzy logic and probability functions
• Probability Distribution and Probability Density
• Continuous random variables
• Basic concepts and properties
• Binomial Random Variable Applications
• Conditional Probability Density Function
• Stirling’s Formula
• Lecture Probability & statistics
• Probability & statistics
• Tính toán và thông kê
• Discrete probability
• Standard deviation
• Bivariate probability
• Probability and mathematical statistics
• Mathematical statistics
• Probability of events
• Random variables
• Applied statistics and probability
• Discrete random variables
• Joint probability distributions
• A first course in probability
• Combinatorial analysis
• Jointly distributed random variables
• Probability random variables and stochastic processes
• Probability random variables
• Stochastic processes
• Probability variables
• Hypothesis testing
• Nonparametric hypothesis tests
• Basic probability
• Union event mutually exclusive
• Partitions bernoulli formula
• Continuous probability
• Continuous random variable
• Density function
• Convergence in the central limit theorem via Zolotarev probability metric
• The central limit theorem via Zolotarev probability metric
• Zolotarev probability metric
• Central limit theorem
• Lyapunov's condition
• Lecture Making hard decisions
• Making hard decisions
• Decision tool suite
• Probability basics
• Venn diagrams
• Probability formulas
• Lecture Discrete Mathematics I
• Discrete Mathematics I
• Bài giảng Toán rời rạc
• Probability rules
• andom variables
• Probability models
• Two Random Variables
• Joint probability density function
• Multiple Random Variables
• Hai biến ngẫu nhiên
• Ebook Probability and statistics for engineers
• Statistics for engineers
• Probability for engineers
• Data analysis
• Lecture Business statistics
• Bài giảng Thống kê doanh nghiệp
• Business statistics
• Continuous probability distributions
• Uniform probability distribution
• Normal probability distribution
• Fundamentals of probability for engineers
• Fundamentals of statistics for engineers
• Functions of random variables
• Probability spaces
• Moments
• Bayes theorem
• Conditional probability measures
• Probability measures
• financial models
• Limit theorems
• Probability of rainfall
• Rabi pulses
• Crop planning based on rainfall probability
• Crop planning based
• Rainfall probability