大气是人类和一切生物赖以生存的必需条件。大气质量的优劣,对人体健康和 整个生态系统都有着直接的影响。人类又通过各种生产和生活活动影响和改变着大 气环境,使其质量恶化,甚至造成严重的大气污染事件

Consider a stick of length 1. Let XI and X2 be independent random variables denoting two points n the stick at which we break the stick into three pieces. We assume that X1 and X2 are uniformly distributed over the interval

Lecture Outline Introduction to queuing systems Conceptual representation of queuing systems Codes for queuing models Terminology and notation Little's Law and basic relationships Birth-and-death processes The M/M/1 queuing system State transition diagrams Steady-state probabilities

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

two -Server- Hypercube” Queueing Model Distinguishable servers Different workloads(due to geography) Can appear with or without queueing With-- usually FCFS Without--usually means a backup contract service is in place

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

Ambulance always returns home with each service; standard M/G/1 applies a But suppose we have an emergency repair vehicle that travels directly from one customer to the next?

There Are Three Things Important When Buying a House: Location Location Location

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

Quiz #1: October 29 Open book, 85 minutes (start 10: 30) Chapter 4 coverage: Sections 4.1through 4.7 (inclusive); Section 4.9 (skim through 4.9.4) Review Problem Set 3 Review some old quizzes