1) Consider the following interarrival and service times for the first 5 customers to a single server queuing system. Customer Number Interarrival Time (min) Service Time (min) 1 3 4 2 1 3 3 4 4 2 3 5 1 For the above table, the first customer arrives at t = 0. The interarrival time between customer 1 and 2 is 3 minutes, and the interarrival time between customer 2 and 3 is 1 minute. Suppose the simulation ends at t= 16 minutes. Based on the above information, compute the following (show the intermediate steps): 1. The average number of people in queue; 2. The average waiting time in system (time in queue + time in service); 3. The server utilization.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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1) Consider the following interarrival and service times for the first 5 customers to a
single server queuing system.
Customer Number
Interarrival Time (min)
Service Time (min)
1
4
2
1
3
3
5
4
4
2
3
5
1
For the above table, the first customer arrives at t
0. The interarrival time between customer 1
and 2 is 3 minutes, and the interarrival time between customer 2 and 3 is 1 minute. Suppose the
simulation ends at t= 16 minutes. Based on the above information, compute the following (show
the intermediate steps):
1. The average number of people in queue;
2. The average waiting time in system (time in queue + time in service);
3. The server utilization.
Transcribed Image Text:1) Consider the following interarrival and service times for the first 5 customers to a single server queuing system. Customer Number Interarrival Time (min) Service Time (min) 1 4 2 1 3 3 5 4 4 2 3 5 1 For the above table, the first customer arrives at t 0. The interarrival time between customer 1 and 2 is 3 minutes, and the interarrival time between customer 2 and 3 is 1 minute. Suppose the simulation ends at t= 16 minutes. Based on the above information, compute the following (show the intermediate steps): 1. The average number of people in queue; 2. The average waiting time in system (time in queue + time in service); 3. The server utilization.
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