2. Frank Underwood is able to install new mufflers for his customers needing this service arrive at theshop. Frank Underwood uses three workers for his work, i.e., m=3. All the workers have same servicerate. The hourly service rate of an individual worker and the hourly arrival rate of the gustomers canbe obtained from the equation. x3 - x² – 69x +189 = 0. It is known that the hourly service rate of anindividual worker is less than the hourly customer arrival rate. The process follows assumptions ofM/M/m model. Now answer the following questions|a) What is the arrival rate of the customers (2) and service rate of an individual worker (H).2 (Clearlywrite down the equation in the form of factors before writing the final solutions)b) What is the probability of no customer in the system, i.e., (Pa)?c) What is the average number of customers in the queue (La)d) What is the average time a customer spends waiting in the queue (W (in hours)?e) What is the utilization rate (Q)

Please note that as per guidelines, the first 3 subparts are solved. Factorize the given equation to…

Answered: 2. Frank Underwood is able to install…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.4: Important Queueing Relationships

Problem 6P

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