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
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?
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
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
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)
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