Chapter 5. (M/M/s/K Model). Leia is responsible for 8 computers in the IT offices in a small business called DataWish. Each computer runs on anaverage for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distributionto the "arrival" of each computer for service and an exponential distribution to the actual service provided, answer the following questions:a. The arrival rate would beunits per week and the service rate would beunits per week.b. Calculate the following operating characteristics for the M/M/s/K system:Utilization Factor (p)%Performance MeasuresPO (probability that sytemis empty)L (average units inunitssystem)La (average units waitingin queue)unitsW (average time in theweekssystem)Wq (average time in thequeue)weeksc. If we assign a cost of waiting as $500 per week per computer and $800 per week of hiring Leia, what is the Total Time Cost per week cost ofservicing the machines?dollarsd. If DataWish decides to hire another individual to help Leia, what would the new Total Time Cost per week be?dollars.

Given data: Arrival time = 3 weeksService time = 0.5 weeks *as per guideline first…

Answered: Chapter 5. (M/M/s/K Model). Leia is…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section7.5: Facility Location Models

Problem 27P

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