Homework3 - Stanford University Management Science and...

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Stanford University Management Science and Engineering MS&E 260 Fall 2016 Homework #3 1/1 MS&E 260: Introduction to Operations Management HOMEWORK #3 Due October 24, 2016 1. (45 pts) In each part, compare the two queuing systems described mathematically. Specifically, compare the utilization of, average waiting times of, and the average number of people in the systems. Also, give a brief description of the practical differences between the two systems (i.e. if you’re a business deciding on which system to use, what might be some additional considerations?). For question c, you can give a qualitative comparison only. a. (15 pts) The first queuing system is two M/M/1 (one server) systems: two single queues (mean customer arrival rate of λ to each queue and mean service rate of each server μ). The second is an M/M/1 (single server) system with a single queue; customers arrive at mean rate 2λ, but the mean service rate of the server is 2μ.
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