Outline Background and Definitions Shortest path Minimum spanning tree Introduction to Travelling Salesman Problem and Chinese Postman Problem

Single Tree center problem G is a tree. e i=1. 2..m are the end vertices

Birth-and-Death Queuing Systems 1. m parallel, identical servers. 2. Infinite queue capacity. 3. Whenever users are in system (in queue plus in service) arrivals are Poisson at rate of an per unit of time. 4. Whenever n users are in system, service completions are Poisson at rate of un per unit of time. 5. FCFS discipline

Lecture Outline A fundamental result for queuing networks State transition diagrams for Markovian queuing systems and networks: example Analysis of systems with dynamic demand and service rates Qualitative behavior of dynamic systems

Open book, 85 minutes(start 10: 30) Chapter 4 coverage: Sections 4.1through 4.7 (inclusive); Section 4.(skim through .9.4)[Up to lecture of 10/22] Review Problem Set 3 Review some old quizzes Prof. Barnett: Quiz review today

Air Safety: End of the Golden Age? First-World aviation has become so safe that a passenger who takes a domestic jet flight every day would on average go 36,000 years before succumbing to a fatal crash. But certain aerial dangers that were practically absent from the First World in the 1990s might be poised for a resurgence (Among these hazards are terrorism, mid-air collisions, and ground collisions. We explore recent data about the mortality risk of air travel, and discuss the prospects for the years ahead Arnold barnett

Suppose that two aerial routes--one Eastbound and one Northbound--cross at an altitude of 35,000 feet at junction(Figure 1). In the absence of air-traffic control, the times at which eastbound planes would arrive at the junction would reflect a Poisson process with parameter(per minute)

Crofton's Method Let X1 and X2 be independent random variables that are uniformly distributed over the interval [o, a]. We are interested in computing E[ -X2l]. For instance, in an urban setting, X1 and X2 may denote the location of an accident and the location where an emergency vehicle is currently parked in a road segment of length a, respectively In this case, we want to know the distance

一、矿井排水设备的任务和分类 1、矿水 (1)矿水来源 涌入矿井的水统称为矿水。矿水主要来源于地面水和地下水

一、掘进机 一般按使用范围和结构特征进行。 按截割岩石的硬度系数分:煤巷掘进机(f≤4)、煤-岩巷掘进机(f≤6)、岩巷掘进机(f6);按断面大小分:大断面掘进机(大于8m2)、小断面掘进机(小于8m2);按工作机构截割工作面的方式分:部分断面掘进机、全断面掘进机