### Understanding Single Server Queue Systems#### Queue System OverviewThe diagram shown illustrates a single server queue system, specifically a G/G/1/N/K queuing system where \(N>3\) and \(K>3\). This type of system consists of:- **G/G/1**: General arrival and service time distribution with a single server.- **N**: Represents the maximum number of customers that can be in the system.- **K**: Represents the capacity of the system.#### Graph AnalysisThe graph depicts the number of customers in the system over a period of time:- **X-axis (t)**: Time intervals from 0 to 10.- **Y-axis (N(t))**: Number of customers in the system.The graph exhibits a step-like pattern, indicating periods where the number of customers remains constant, followed by sudden changes (either increases or decreases) at specific intervals.Key Observations:- At \(t = 0\), the system starts with 1 customer.- The number of customers varies between 1 and 3 throughout the time intervals.- There are notable time points where the number of customers increases to 3, then decreases back to 1, showing patterns typical of queue dynamics (e.g., arrivals and departures).#### Problem Statements and Multiple-Choice Questions1. **Average Number of Customers in the System** What is the average number of customers in the system? Options: - A. 10.0 - B. 5.0 - C. 0.5 - D. 1.4 - E. 2.02. **Average Number of Customers in the Queue** What is the average number of customers in the queue? Options: - A. 3.0 - B. 5.0 - C. 1.4 - D. 0.5 - E. 1.0#### Explanation:- **Average Number of Customers in the System**: To find the average, consider the values indicated in the graph and the amount of time the system spends at each level of occupancy. Calculate the mean of these values. - **Average Number of Customers in the Queue**: Similarly, review the periods the system spends with different numbers of customers waiting in the queue and compute the average.

The given problem pertains to a single server queueing system denoted as [G/G/1/N/K], where N…

Answered: Given the Figure below, represents a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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QUESTION 5 A survey was given to a group of students that asked about which sports they liked. Of the 65 students surveyed, 30 students liked both soccer and basketball, 40 students liked basketball, and 20 students like only soccer but not basketball. a) Complete the table by filling in the blank boxes. i k e BESKG4 a k e b a ||| DICC d n Like Soccer Didn't Like Soccer Click Save and Submit to save and submit. Click Save All Answers to save all answers. MacBook Air Total I Save A
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3. 1,-6, 36,-216, .. a. = (-6)" geometric, a =-7776, a. %3D 1296, a, = (-6)"-1 , = (-6)"- b. geometric, a, n-1 С. arithmetic, a , =-7776, a %3D d. arithmetic, a, = 1296, a, = (-6)"

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