COMP9334 Capacity Planning of Computer Systems and Networks Week 1A: Revision problems COMP9334 1 Question 1 • An important part of performance analysis is to model the workload. In this question, you will look at a very simple model and we will generalise it to a very well known model in performance analysis in the […]
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COMP9334: Capacity Planning of Computer Systems and Networks Course Review and Exam Info A/Prof Chun Tung Chou CSE, UNSW System performance is important Performance metrics: response time, waiting time, throughput, availability Performance is determined by: Workload System parameters You can estimate system performance, without building the actual system, by using queueing models Page 1 Performance
COMP9334 Capacity Planning for Computer Systems and Networks Week 4B: Discrete event simulation (1) COMP9334 1 Week 4A: Queues with general arrival & service time • Queueswithgeneralinter-arrivalandservicetimedistributions General Inter-arrivals time distribution Arrivals General service time distribution • M/G/1 queue • CancalculatedelaywiththeP-K formula • G/G/1 queue • Noexplicitformula,getaboundor approximation Departures T1,2021 COMP9334 2 Analytical methods for
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! Cover page COMP9334 – Capacity Planning of Computer Systems and Networks Term 1, 2021 SAMPLE Final Examination (Note: The following instructions are identical to what you will see in the final exam.) Instructions: 1. Time allowed: 2 hours and 15 minutes. 2. Answer all questions. 3. Marks available for each question are shown in
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COMP9334 Capacity Planning for Computer Systems and Networks Week 5B_1: Discrete event simulation (3). Comparing two systems. COMP9334 1 Discrete event simulations so far • You have learnt: • Howtowritesimulationprogram • Youknowyoucannotgetexactmeanresponsetimefrom simulation but you can get a confidence interval • Youcanreducethewidthoftheconfidenceintervalby • Simulate for longer • Increase the number of independent replications • Today,
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COMP9334: Capacity Planning of Computer Systems and Networks Week 9A: Optimisation (2): Integer programming COMP9334, Chun Tung Chou, 2021 Optimisation What have we covered so far? Formulation of linear programming (LP) problems Using AMPL to solve LP problems This lecture Different types of LP problems Formulation of integer programming (IP) problems Using AMPL to solve
COMP9334 Capacity Planning for Computer Systems and Networks Week 5B_2: Discrete event simulation (4): Generating random numbers COMP9334 1 This lecture • Discrete event simulation • Week4B:Howtostructurethesimulation • Weeks5A,5B_1:Statisticalanalysis • This lecture • Backgroundonrandomnumbersandhowtheyaregenerated • Howtogeneraterandomnumbersofanyprobabilitydistribution • Reproducibility • Motivation • ThePythonrandomlibrarycangeneraterandomnumbersfrom many probability distributions but sometimes you may need a distribution that the library
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#!/usr/bin/env python3 # -*- coding: utf-8 -*- “”” COMP9334 Capacity Planning This Python function simulate an M/M/1 queue with mean arrival rate lambda and service rate mu It outputs the mean response time There are 3 simulation parameters: 1. Arrival rate lambda 2. Service rate mu 3. Simulation time time_end “”” # Import import random
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COMP9334: Capacity Planning of Computer Systems and Networks Optimisation (3): Network flow The story so far Linear programming (LP) Real values for decision variables, linear in objective function, linear in constraints Large LP problems can be solved routinely Integer programming (IP) Some decision variables can only take integer values Some decision variables can only take
COMP9334 Capacity Planning for Computer Systems and Networks Week 5A: Discrete event simulation (2). Independent replications. Confidence interval. COMP9334 1 Week 4B • Two topics • Howtostructurediscreteeventsimulationofqueues • HowtousethePythonrandomlibrarytogeneraterandom numbers for inter-arrival and service times • You should be able to simulate • Manytypesofqueues • Single-server or multi-server • Different queueing disciplines • Manyinter-arrivaltimeandservicetimedistributions •
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