PPT-Queueing Theory

Operations Prof Juran 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 . 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 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?. Instructor: Roch Guerin (. guerin@wustl.edu. ). Office hours: Mon & Wed 4:00-5:00pm in Bryan 509. TA: . Junjie. Liu (. junjie.liu@wustl.edu. ). Office hours: TBD. Classes: Tuesday & Thursday 10:00-11:30am in . )()()(1100tPqtPdttdP (1) 1211[(1)]()()()()dPtqnpPtqnpPtPtλ Summer (Xia) Hu. Sean Barnes. Bruce Golden. University of Maryland, College Park. 1. Jul. 31 2015. Emergency Department (ED) Crowding. 2. Critical challenge . to operational . efficiency. Increase in ED visits, decrease in ED number . Supplementary discussions. From . Taha’s. Book. Pure birth model. We only allow random arrivals. No departures..  . Recall Poisson distribution:. Let . X. be the number of arrivals that take place during a specified time unit (e.g., one minute). 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. 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. . OPERATING SYSTEMS. SCHEDULING. 5: CPU-Scheduling. 2. What Is In This Chapter?. This chapter is about how to get a process attached to a processor.. It centers around efficient algorithms that perform well.. 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?. (Part 1). Nikhil Bansal (TU Eindhoven). Adam Wierman (Caltech). Scheduling. Competitive Analysis . Queueing. Relative. to best . Absolute. guarantees . Worst case . inputs . 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). of Queues and Networks. Yoni . Nazarathy. Swinburne University of Technology, Melbourne.. Based on collaborations with . . Ahmad Al . Hanbali. , Daryl Daley, . Michel . Mandjes. ,. Gideon Weiss and Ward Whitt.