Need an expert in Capacity analysis to solve some problems

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PROBABILITY THEORY:

Outcomes and events, Definition of probability, Probability algebra, random variable, Jointly distributed random variables, memory less property of exponential and geometric distribution, important distributions, discrete distribution

STOCHASTIC PROCESS: Definition and basic notions, characterization of stochastic process, classification of stochastic process, ergodic processes, markov process, discrete time homogeneous markov chains, continuous time homogeneous markov chains, classification of states, ergodic chains and stationary distribution.

BASIC OF TRAFFIC MODELLING 1: Traffic description, point process, poison process, service process, internet traffic properties, step-by-step traffic modelling, exponential based time interval distribution, examples of modelling two moments fitting.

BASIC OF TRAFFIC MODELLING 2: Step-by-Step modelling procedure, example of traffic modelling using AR(1) Process.

BASIC DEFINITIONS AND RELATIONS IN QUEUING THEORY: Kendall's notation for queuing systems, arrival process, service time distribution , Little results , Basic results.

M/M/-/-/- SYSTEMS: Problem statements, state of the system, transient vs steady state distribution, M/M/1 queuing system, waiting time in M/M/C/K/N queuing system , notes on performance parameters in M/M/1 systems, delay distribution in M/M/C/K/N queues

Matlab and Mathematica Algoritme Statistikker Matematik Statistisk analyse

Projekt ID: #28815524

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