Refer to: Managerial Decision Modeling with Spreadsheets 3rd (MDM3) Section 9.4

Question

Refer to: Managerial Decision Modeling with Spreadsheets 3rd (MDM3) Section 9.4 Single-Server Queuing System with Poisson Arrvals & Exponential Service Times (M/M/1 Model) Arnold's Muffler Shop Example: Operating Characteristic Equations pg 377 For all these questions, show your math work on paper, scan and submit However you should submit a document with your discussion points. 1. What is Kendall's Notation for Arnold's Muffler Shop Example? Explain your answer 2. What is the average arrival rate?: What is the average service rate? 3. Calculate on paper, by hand, the characteristic equation ( 9 .. 3 ), what does this number mean to you? Is it important? 4. Calculate on paper, by hand, the characteristic equation(94) What does this number mean to you? Is it important? 5. Calculate on paper, by hand, the characteristic equation (9 5). What does this number mean to you? Is it important? 6, Calculate on paper, by hand, the characteristic equation ( 9·-6), what does this number mean to you? Is it important? 7. Calculate on paper, by hand, the characteristic equation (97). What does this number mean to you? Is it important? 8. Calculate on paper, by hand, the characteristic equation (98). What does this number mean to you? Is it important? 9. Calculate on paper, by hand, the characteristic equation (99). What does this number mean to you? Is it important? Compare your results against the results for Arnold's Muffler Shop obtained using "ExcelModules"

Explanation / Answer

Ans 1 Kendall's notation M/M/1 (2/3/1) (Arrival rate/Service rate/No of servers) Comment Ans 2 Arrival rate A 2 Service rate S 3 Ans 3 U Utilization ratio U=A/S 0.66667

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