A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers per hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity is three customers: two waiting and one being served. What is the probability that the server is busy at a typical point in time? If needed, round your answer to a whole percentage.The excel formula breaks the answer down to 0.8769. However 0.87 or 1% is showing as wrong answer. InputsUnit of timehourArrival rate3customers/hourService rateNumber of servers2customers/hourCalculate steady-statequantitiesMaximum customers in system3customersMaximum queue length2customersOutputsSteady-state probabilitiesSummary measuresPn0 0.12311 0.1846Expected number in system1.985customersExpected number in queue1.108customersExpected time in system1.132hours2 0.2769Expected time in queue0.632hours3 0.4154Entering ratePercentage who don't wait in queue1.754customers/hour12.3%Probability server is busy0.8769 * CENGAGE MINDTAPQ Search thisWeek 7: Chapter 12 HomeworkAssignment: Week 7: Chapter 12 HomeworkAssignment Score: 83.33%SaveSubmit Assignment for GradingQuestions wapms06h.ch12.24« Question 3 of 31.Check My WorkSpreadsheeteBookThe following problem is based on the limited queue and limited source models in the Limited Queue Template.xlsm and Limited Source Template.xlsm files.A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers per hour arrive at the facility (interarrivaltimes are assumed to be exponential). The system capacity is three customers: two waiting and one being served.a. On average, how many potential customers enter the system each hour?needed, round your answer to one decimal digit.1.7b. What is the probability that the server is busy at a typical point in time? If needed, round your answer to a whole percentage.1" Hide FeedbackPartially Correct

The given model is M/M/1/GD/3 - Mean arrival rate (λ)=3 customers/hr Mean service rate (μ)=2…

A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers per hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity is three customers: two waiting and one being served. What is the probability that the server is busy at a typical point in time? If needed, round your answer to a whole percentage. The excel formula breaks the answer down to 0.8769. However 0.87 or 1% is showing as wrong answer.

A service facility consists of one server who can serve an average of two customers per hour (service times are exponential). An average of three customers per hour arrive at the facility (interarrival times are assumed to be exponential). The system capacity is three customers: two waiting and one being served. What is the probability that the server is busy at a typical point in time? If needed, round your answer to a whole percentage. The excel formula breaks the answer down to 0.8769. However 0.87 or 1% is showing as wrong answer.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 51P

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