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Performance Evaluation When: Wed. 2:20pm~5:10pm Where: Room 107 Instructor: 周承復 –Office hours: by appointment –www.csie.ntu.edu.tw/~ccf –E-mail: ccf@csie.ntu.edu.twccf@csie.ntu.edu.tw –Class web page and TA will be announced by this weekend TBD
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Reading Reference Reference books: –Queueing systems (vol. I & II); Kleinrock –Analytical Performance Modeling for Computer Systems; Y.C. Tay –Prob., Stochastic process., and Queueing Theory; Randy Nelson. –Combinatorial Optimization: Algorithms and Complexity; Christos. H. Papadimitriou and Kenneth Steiglitz Paper reading & presentation
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Grading Tentative Hw & Paper presentation : 35% class attendance (participation): 5-10% Midterm (1 or 2 times): 20-25% Term projects: 35-40% (1-2 members)
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Projects 1 st programming project: –Discrete Time Event Simulator (in c, c++) Term project
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Objective An intro. to techniques and tools –Construct and analyze a model (or by simulations) for computer and communication systems designs. Example –Internet, wireless communication, operating system, parallel and distributed system, database system, programming languages….
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Objective paper reading –Server: Hardware Architecture, Operating Systems –Network –Database Management Term Project –Analytic model –Simulation (or Emulation) –Measurement (or Implementation)
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Outline Introduction Probability review Discrete Time Event Simulator Stochastic Processes Elementary queueing theory –M/M/1, M/M/1 variants –M/G/1, M/G/1 variants, and Priority Queue Intermediate queueing theory –Bounding techniques –Matrix Geometric solutions: high-dimensional MC
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Outline (cont.) Average Value and Fluid approximation Open and close system –equilibrium decomposition –bottleneck analysis –flow equivalence Linear Programming (ILP, or Non-Linear Programming)
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What is the course used for ?
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Single Server System A single-server system has a capacity C R is the average rate of the demanded work What is the stable condition for this system?
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Single Queue vs. Multi-Queue Consider a system has K servers For a customer, which design is better? –Each server has its own queue –All K servers share a single queue
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System Design If you want to upgrade your system, you will do –Buying k single servers with each has capacity C –Buying a single sever with capacity kC
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Waiting in the Bus Station The inter-arrival time dist. for a bus is exponential dist. with mean 10 min John has arrived at the bus station for 5 min, so how long has he waited for till the next bus comes?
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Priority Queue Consider a non-preemptive system and two customer classes A and B, with respective arrival and service rate a, a, and b, b, b < a. If we want to design a system with the avg. delay for a customer is small, which class should have higher priority
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More Examples !
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TCP Model –J. Padhye, V. Firoiu, D. Towsley, and J. Kurose. Modeling TCP throughput: a simple model and its empirical validation. In Proc. SIGCOMM, 303–314, September 1998. –Renewal theory, prob. Based approach
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TCP Model –Vishal Misra, Wei-Bo Gong, and Don Towsley, Stochastic Differential Equation Modeling and Analysis of TCP-Window size Behavior, ACM SIGMETRICS 1999. –Fluid models, Stochastic differential equation
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BitTorrent –D. Qiu and R. Srikant. Modeling and performance analysis of BitTorrent-like peer- to-peer networks. In Proc. SIGCOMM, 367– 378, 2004. –Fluid Model, steady-state analysis
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802.11 –Giuseppe Bianchi, Performance Analysis of the IEEE 802.11 Distributed Coordination Function, Selected Areas in Communications, IEEE Journal on, Vol. 18, No. 3. (March 2000), pp. 535-547, –DTMC based approach
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Personal Comm. System –Yi-Bing Lin, Seshadri Mohan, Anthony Noerpel, Queueing Priority Channel Assignment Strategies for PCS Hand-Off and Initial Access, In Vehicular Technology, IEEE Transactions on, Vol. 43, No. 3. (1994), pp. –CTMC, probability, poisson process
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P2P streaming –Yipeng Zhou, Dah Ming Chiu, John C.S. Lui, A Simple Model for Analyzing P2P Streaming Protocols, IEEE International Conference on Network Protocols (19 October 2007), pp. 226- 235 –probability
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Distributed Protocols –I. Gupta. On the design of distributed protocols from differential equations. In Proc.ACM Symposium on Principles of Distributed Computing (PODC), 216–225, July 2004 –Epidemic model : differential eqn.
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Database System –P.A.Bernstein,A.Fekete,H.Guo,R.Ramakrishnan, and P. Tamma, Relaxed currency serializability for middle-tier caching and replication. In Proc. ACM SIGMOD Int. Conf. Management of Data, 599–610, June 2006. –Bottlenecks and flow equivalence
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Storage System –Q. Zhu, Z. Chen, L.Tan, Y. Zhou, K. Keeton, and J.Wilkes. Hibernator: helping disk arrays sleep through the winter. In Proc. ACMSymp. Operating Systems Principles (SOSP), 39(5):177–190, October 2005 –Integer Linear Programming
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NEW ISSUES
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Cloud Computing Resource Allocation and Markets –Online Auctions in IaaS Clouds: Welfare and Profit Maximization with Server Costs Xiaoxi Zhang etl. –An Online Auction Framework for Dynamic Resource Provisioning in Cloud Computing Weijie Shi etl.
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BIG Data Analytics Machine Learning and Crowdsourcing –An Online Learning Approach to Improving the Quality of Crowd-Sourcing Yang Liu etl. –Learning to Rank: Regret Lower Bound and Efficient Algorithms Richard Combes etl.
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Social Network Ads and Information Dissemination –Social Network Monetization via Sponsored Viral Marketing Parinya Chalermsook etl. –Collecting, Organizing, and Sharing Pins in Pinterest: Interest-driven or Social-driven? Jinyoung Han etl. –Filter & Follow: Do Social Media Encourage Efficient News Curation? Avner May
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Topics for Next Week Course
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Probability Review Probability Conditional probability Statistical independent Theorem of total Probability Bayes’ Theorem Random Variable
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