Question: Question 34: Show me how to solve this question step by step. It's given in example A part of the simulation table for a single-channel

Question 34: Show me how to solve this question step by step.

Question 34: Show me how to solve this question

It's given in example

A part of the simulation table for a single-channel queue that serves customers on a first-in-first-out (FIFO) basis is given below. a) Complete the missing entries in the simulation table. b) What is the average waiting time for a customer? c) What is the probability that a customer has to wait in the queue? d) What is the average service time? e) What is the average time a customer spends in the system? f) What is the maximum time in the system for the customers? g) What is the total idle time of the server? TS (a) Time Customer Interarrival Waiting Time Spends in Idle Time of Custome Time Arrival Time Service Time Time Service in Queue Time Service System Server r (Minutes) (Clock) (Minutes) Begins (Clock) (Minutes) Ends (Clock) (Minutes) (Minutes) ID IAT AT ST SB WQ SE IT 1 1 0 0 5 0 0 0 5 5 2 6 6 9 6 0 151 9 3 6 12 7 15 3 22 10 0 0 4 12 24 6 24 0 30 6 2 5 8 32 6 32 0 38 6 2 6 6 7 39 10 39 0 49 10 1 Total = 43 3 3 Average = (d) 7.167 (b) 0.5 (e) 7.667 (g) (c) 1/6 = 0.167 (f) max = 10 46

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