PPT-Queueing theory and

Internet congestion control Damon Wischik UCL Mark Handley UCL Gaurav Raina Cambridge IIT Madras A little bit about me I did a PhD in mathematics at Cambridge and I continued there afterwards as a research fellow. At each of the stations a service is provided that takes up time Workpieces approach the stations and are processed immediately if the server is idle Otherwise the workpieces line up in the buffer in front of a station and wait to receive service Ap 1 Introduction Todays computer systems are more complex more rapidly evolving and more essential to the conduct of business than those of even a few years ago The result is an increasing need for tools and techniques that assist in understanding the bonaldfrancetelecomcom Abstract rich class of communication netw orks can be ep esented as queueing netw orks with statedependent arri al rates and ser vice rates pr vide necessary and suf64257cient conditions or such queueing netw orks to be insensi We now turn our attention to closed networks Closed Queueing Models Closed networks are extremely important for computer systems modeling because they capture the notion of interactivity in the system In an open network customers simply arrive recei Queueing. Theory. Math 319. Prof. Andrew Ross. Eastern Michigan University. What is . Queueing. Theory?. A queue = a line of people or things waiting to be served. Queueing. Theory: ways of predicting how long the line or the wait will be, or deciding on how many servers to have. Theory. Average person spends almost 6 months of their lifetime in queues;. . 3 days a year.. Examples of Queues. What’s the longest you’ve waited in line for something?. Has anybody left a queue early because it was taking too long?. )()()(1100tPqtPdttdP (1) 1211[(1)]()()()()dPtqnpPtqnpPtPtλ Performance Scaling . and Algorithmic Challenges. Instructor: Yuan Zhong; . yz2561@columbia.edu. Class: . Mudd. 627, MW 2:40 – 3:55pm. Office hour: Fri 4 – 6pm; . Mudd. 344 (or by appointment). Junxian Huang. 1. . Feng. . Qian. 2. Yihua. Guo. 1. . Yuanyuan. Zhou. 1 . . Qiang. Xu. 1. Z. . Morley Mao. 1 . . Subhabrata. Sen. 2. Oliver . Spatscheck. 2. 1. Hakim Weatherspoon. Associate Professor, . Dept. of Computer Science. CS 5413: High Performance Computing and Networking. March 6, 2017. buffering when arrival rate via switch exceeds output line speed. A Scalable Architecture to Approximate Fair Bandwidth Allocations in High Speed Networks. Ion . Stoica. , Scott . Shenker. , and . Hui. Zhang. SIGCOMM’98, Vancouver, August 1998. subsequently. IEEE/ACM Transactions on Networking 11(1), 2003, pp. 33-46.. 2. Overview. Basic definitions and metrics. Examples of some theoretical models. Operations -- Prof. Juran. 3. Basic Queueing Theory. A set of mathematical tools for the analysis of probabilistic systems of customers and servers. . Operations Management. Queues. In England, they don’t ‘wait in line,’ they ‘wait on queue.’. So the study of lines is called queueing theory.. Cost-Effectiveness. How much money do we lose from people waiting in line for the copy machine?. Dr. Ron . Lembke. Everyone is Just Waiting. Everyone is just waiting. People Hate Lines. Nobody likes waiting in line. Entertain them, keep them occupied. Let them be productive: fill out deposit slips, etc. (Wells Fargo).