2. Consider a queuing system with a Poisson input and exponential service times. Suppose there is one server and the expected service time is exactly one minute. Compare Ls for the cases where the mean arrival rate is 0.5, 0.9 and 0.99 customers per minute, respectively. Do the same for Lq, Ws, Wq and P(W>5) or the probability of waiting time in the system. Öperations ResearchASSIGNMENT NO.9 (Queueing Theory)1. The jobs to be performed on a particular machine arriveaccording to a Poisson input process with a mean rate oftwo per hour. Suppose that the machine breaks down andwill require 1 hour to be repaired. What is the probabilitythat the number of new jobs that will arrive during this timeis: (2a) Zerob) twoc) five or more?2. Consider a queuing system with a Poisson input andexponential service times. Suppose there is one server andthe expected service time is exactly one minute. CompareLs for the cases where the mean arrival rate is 0.5, 0.9 and0.99 customers per minute, respectively. Do the same forLq, Ws, Wq and P(W>5) or the probability of waiting timein the system.

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Consider a queuing system with a Poisson input and exponential service times. Suppose there is one server and the expected service time is exactly one minute. Compare Ls for the cases where the mean arrival rate is 0.5, 0.9 and 0.99 customers per minute, respectively. Do the same for Lq, Ws, Wq and P(W>5) or the probability of waiting time in the system.

Consider a queuing system with a Poisson input and exponential service times. Suppose there is one server and the expected service time is exactly one minute. Compare Ls for the cases where the mean arrival rate is 0.5, 0.9 and 0.99 customers per minute, respectively. Do the same for Lq, Ws, Wq and P(W>5) or the probability of waiting time in the system.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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