Consider a single-server queueing system with arrival and service details as: Interarrival times 3 2 6 2 4 5 Service times 25 5845 Prepare simulation table using Event Scheduling / Time Advance Algorithm for the given data. Stop simulation when the clock reaches 20. In the simulation table, include the following: 1) B: Cumulative Busy Time 2) MQ: Cumulative Maximum number of Customers in Queue 3) F: Cumulative number of Customers who spent more than 3 minutes in the system.

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### Queueing System Simulation Overview

**Consider a single-server queueing system** with the following parameters:

- **Interarrival Times:** 3, 2, 6, 2, 4, 5
- **Service Times:** 2, 5, 5, 8, 4, 5

**Objective:** Prepare a simulation table using the Event Scheduling / Time Advance Algorithm for the provided data.

**Simulation Termination Condition:** Stop the simulation when the clock reaches 20.

**Data to Include in the Simulation Table:**

1. **B: Cumulative Busy Time**
   - Track the total time the server is occupied.
   
2. **MQ: Cumulative Maximum Number of Customers in Queue**
   - Record the peak number of customers waiting in line.
   
3. **F: Cumulative Number of Customers Who Spent More Than 3 Minutes in the System**
   - Count how many customers experience a total time (waiting + service) greater than 3 minutes.

This exercise is designed to help understand the dynamics of queueing systems and learn how to implement a basic simulation using standard algorithms.
Transcribed Image Text:### Queueing System Simulation Overview **Consider a single-server queueing system** with the following parameters: - **Interarrival Times:** 3, 2, 6, 2, 4, 5 - **Service Times:** 2, 5, 5, 8, 4, 5 **Objective:** Prepare a simulation table using the Event Scheduling / Time Advance Algorithm for the provided data. **Simulation Termination Condition:** Stop the simulation when the clock reaches 20. **Data to Include in the Simulation Table:** 1. **B: Cumulative Busy Time** - Track the total time the server is occupied. 2. **MQ: Cumulative Maximum Number of Customers in Queue** - Record the peak number of customers waiting in line. 3. **F: Cumulative Number of Customers Who Spent More Than 3 Minutes in the System** - Count how many customers experience a total time (waiting + service) greater than 3 minutes. This exercise is designed to help understand the dynamics of queueing systems and learn how to implement a basic simulation using standard algorithms.
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