Simulation Of A Queuing System (A Case Study Of Imo State Transport Company ITC Owerri)

Project and Seminar Material for Computer Science and Computer Engineering

Simulation Of A Queuing System (A Case Study Of Imo State Transport Company ITC Owerri)


The project looked into the concept of simulation system that provides method of handling problems, which are difficult or costly to solve analytically. It is also allows the study or learning the behavior of the system. To text hypothesis and design a system that may be available for direct observation or experiment and by applying digital simulation to help find the solutions to problems relating to resources allocations to production of efficiency. The programming language to be used is visual basic become of its visual interface and familiarity of the language.

Table of Content

  • Title Page
  • Abstract
  • Table Of Content
  • List Of Tables
  • List Of Figures

Chapter One:


  • 1.0 Introduction
  • 1.1 Statement Of The Problem
  • 1.2 Objective Of The Study
  • 1.3 Significance Of The Study
  • 1.4 Scope And Limitations
  • 1.5 Background Of The Case Study
  • 1.6 Background Of Terms
  • 1.7 Definition Of Terms

Chapter Two:

Literature Review

  • 2.0 Introduction
  • 2.1 Types of Queues
  • 2.1.1 General Queue System
  • 2.1.2 Single Channel Queuing System
  • 2.1.3 Multi Channel Queuing System
  • 2.2 Objective of Queuing Theory
  • 2.3 The Queue Discipline
  • 2.4 Concept of Queues in Series
  • 2.5 Simulation
  • 2.6 Why Do We Use Simulation
  • 2.6.1 Types of Simulation
  • 2.6.2 Computers and Simulation
  • 2.6.3 Logic of Simulation
  • 2.6.4 Examples of Simulation
  • 2.7 Modeling
  • 2.8 Types of Model
  • 2.9 Simulation Languages

Chapter Three:

Research Methodology, System Investigation And Analysis

  • 3.0 Research Methodology
  • 3.1 System Investigation
  • 3.2 Analysis of Investigation
  • 3.3 Finding of the Investigation
  • 3.4 Organizational Structure
  • 3.5 Functions of Existing Personnel

Chapter Four:

System Design Implementation and Maintenance

  • 4.0 System Design
  • 4.1 Scope of Design
  • 4.2 Design Consideration
  • 4.3 Output And Form Specification
  • 4.4 Input Design
  • 4.5 File and Data
  • 4.5.1 Data Management
  • 4.5.2 File
  • 4.5.3 File Types
  • 4.6 Procedure of Accessing File
  • 4.7 Implementation
  • 4.7.1 Planning
  • 4.7.2 Acquisition
  • 4.7.3 Training
  • 4.7.4 Testing
  • 4.7.5 Documentation
  • 4.7.6 Operation
  • 4.8 Maintenance

Chapter Five:

Conclusion and Recommendation

  • 5.0 Conclusion
  • 5.1 Recommendation
  • References
  • Appendices

List of Tables

  • Table 2.0 Simulation Worksheet For Fig 6
  • Table 2.1 Simulation Worksheet With One Attendant
  • Table 3.0 Are You Married Or Single
  • Table 3.1 Is ITC Company Computerized
  • Table 3.2 How Many Branches Does ITC Have
  • Table 3.3 How Many Buses Do They Have
  • Table 3.4 How Do They Issue Ticket To Their Customer
  • Table 3.5 Do You Want Management To Computerize ITC
  • Table 3.6 Do You Think Computerizing This Company Will Increase Productivity
  • Table 4.0 Output And Form Specification

List of Figures

  • Fig 2.0 Symbol For Queuing Theory
  • Fig 2.1 Single Channel Single Stage Structure
  • Fig 2.2 Single Channel Multiple Stage Structure
  • Fig 2.3 Multiple Channel Queuing System
  • Fig 2.4 Queuing In Series
  • Fig 2.5 Simulation Logic
  • Fig 3.0 Examination Of Document
  • Fig 3.1 Pie-Chart Showing Marital Status
  • Fig 3.2 Pie Chart Showing Whether ITC Is Computerized
  • Fig 3.3 Pie Chart Showing Many Branches ITC Have
  • Fig 3.4 Pie Chart Showing How Many Buses ITC Have
  • Fig 3.5 Pie Chart Showing How ITC Issue Tickets
  • Fig 3.6 Pie Chart Showing Whether ITC Staff Want The Company Computerize
  • Fig 3.7 Pie Chart Showing Whether Computerizing Their Company Will Increase Productivity
  • Fig 3.8 Organizational Structure

Chapter One

1.0 Introduction

As the size of the world’s population increased so the number of queues and their queue length. In the business world, more customers mean more business transactions. Out of the many ways to attract customers, an efficient queuing system plays an important role as it reduces a customers waiting time. As a result, the shorter waiting time makes customer happy, and one thing for sure is that a happy customer will come back for business again. Queuing as the mathematical study of waiting times or queues. They study endless mathematical analysis of several related processes, including the arrival of the queue, waiting in the queue and being served by servers at the front of the queue.

Due to the advent of computer system over the years, has brought considerable changes to many areas of human endeavor. This technology has led to speed and accuracy of information that are processed with it. With the introduction of computer in almost all spheres of life, cumbersome jobs are now done with a little time and energy. Our present day computers can be used in airlines reservation, transportation, and patient diagnosis, as an aid to the handicapped and in providing hospital information systems effectively.

Computer system described as an electronic device that accepts data as input, process the data and brings, output as information.. Its uses are not overlooked in the area of simulation. Simulation, which is the process of experimenting or using a model and noting the results, which occur, It is used in a technique referred to as the computer assisted instructions. This has made computers to be continuously ground with scientists, engineers, medical expert, and businessmen and in transportation, industries, science and education.

Developing a simulation is often a highly complex mathematical process. Initially a set of rules, relationship and operating procedures are specified along with other variables, Example identifying the objectives of the simulation, identifying the input variables. Distinguish between controlled and non-controlled variables etc. the interactions of these event new rules, which further evolved as the simulation procedures. Simulation implementation ranges from paper and pencil and board game production of situations to complex computer aided interactive systems. As a technique for instructions, simulation allows students to deal in realistic way with vital concern. The use of computers can be employed in simulation of queuing system. Simulation involves representing aspect of business that can be manipulated by a computer by trying various alternatives on the simulation model. With the computer results in the real world can be accurately determined. For instance if a simulation model for investment practices has been developed various investment strategies can be tried to ascertain, which has the likelihood of success.

The term queue as line up of individual, waiting to be served is found in transport like people waiting to purchase tickets for their journey, in banks, supermarkets, hospitals, offices, restaurants etc. this constitutes one important and particular application of the queuing theory. By analyzing these situations to find average waiting-times, arrival rates etc. help can be obtained for making decisions available at particular times of day in order to process customers faster or whether more queuing spaces are needed.

Imo Transport Company (ITC) has several terminals; their processes are not computerized. Tickets are issued to customers on payment, job are done manually. Their queuing system can be stimulated; this is with the help of models that are computerized. This will go a long way to facilitating efficiency and aid at proper satisfaction to its customers.

1.1 Statement of the Problem

There are many factors that lead to the investigation or study of this system, queuing is an important issue that need to be resolved in Imo state transport company’s operation. Some of the problems that motivate the research to study of this system include:

  1. Time wasting
  2. Idle time at service facility
  3. Dissatisfaction encounter in the company as a result of queue
  4. To allocate resources according to encourage customers satisfaction

1.2 Objective of the Study

Basically simulation is the imitation representation of the behavior of a dynamic system (capture expostulation) by that of another system namely a computer base mode.

Therefore the objective of this study include amongst others:

  1. To test hypothesis and to design or experiment with system that may not yet be available for direct observation or experiment
  2. By applying digital simulation to help find solutions to problems relating resources allocations to production schedule.
  3. To achieve an economic balance between the cost of service and the cost associated with the wait required for the service.
  4. To provide adequate but not excessive service facility. This is because if too much facility is provided, the service facility will be often idle. And if too little service is provided, it will lead to excessive waiting cost. Which shall lead to customer’s frustration and loss of goodwill.

1.3 Significance of the Study

The significance of this study cannot be overemphasized owing to the various areas in which it is applied. The study of stimulation by the use of model in getting results in the world, which can be more accurately determined, Its significance can also be seen in the following reasons:

  1. The study will go a long way to understand complex interaction of physical or social environmental factors.
  2. The flexibility of the study is provided because it is easier, less costly and safer to change a representative of a system than to change the system itself.
  3. One of the major significance of this study is to provide an adequate but not excessive service faculty. This is because if too service facility is provided, the service facility will often be idle and if too little service is provided it will lead to excessive waiting costs in terms of customers frustration and less of good will
  4. This study will save cost in terms of time and money
  5. With the use of simulation model, the risk involved in working on the real system is avoided.
  6. The complexity of the real life system demands a representative model will ease the understanding of the model

1.4 Scope and Limitation

The research is basically limited to the case study of Imo state transport company. The simulation of queuing system in this aspect is limited to queuing in transportation. Manipulation of a simulation system concerns the acceptance of input and generation of output.

1.5 Background of the Case Study

Imo state transport company formally called Imo Transport Corporation is a limited liability company incorporated under the companies Act of 1968, the company commenced transport business in August 1988, the same month it was commissioned.

On inception in August 1988, the company’s “fleet” size was 20 vehicles made up of 10 nos 0365, 42 seater Mercedes Benz buses and 10 nos. 17 seater J-5 buses distributed over nine operational routes. The main objective of the company is to provide transport and allied services in the stave and beyond at an affordable rate.

1.6 Background of the Study

The research is faced with the basis of transportation. The company is an establishment with over fourthy two (42) branches Andover two hundred (200) buses serving as the background of the study. The research is faced towards different services as well as effective use of the available resources.

1.7 Definition of Terms


Simulation is the process of experimenting or using a model and noting the results, which occur. It can also be defined as the imitation of some real things, state of affairs or process.


A model is any representation (physical or abstract) of a real thing, event or circumstance.


Queuing is the mathematical study of waiting times or queues.

Input Process:

This is the manner in which units arrive at the queuing system.

Calling Population:

This is the probability distribution of time between successive arrivals

Service Facility:

This describes how customers are served and how they leave the queue system.

First Come First Serve:

(FCFS) services are rendered to customers in the order in which they joined the queue.

Last Come Last Serve:

(LCFS) services are rendered to customers in the reverse order in which they enter the queue.


There is no order in which customers are served.

Computer Stimulation:

This is an attempt to model a real life or hypothetical situations on a computer so that it can be studied to show how the system works.


Computer is an electronic device that accepts data as input and processes it to give information as its output. It has been describe by several authors to mean several thing example:

Ndukwe (2005) windows based application packages described computer as a robot, an idiot, a magic machine etc. the author defined computer as an electronic device operating under stored-programme concept that accept data as input, processes the data and produces result as output.

Okafor (2006) file design, organization and management said that efficient file/data management requires the use of a computer database, which implies that computer is needed in this research work for record of the system.

Chapter Five

Conclusion and Recommendation

5.0 Conclusion

It is very important that at the end of every work done, conclusion must follow to help one understand the clear objective, while such work is being carried out. Towards the development and realization of this project work, after through investigation and analysis of the current system in Imo state transport company, It could be concluded that computerizing the firm by the introduction of simulation models which are computer aided will go along way towards achieving the aims and objectives for which the organization/ establishment was set up.

It could be also concluded that simulation will help towards the effective use of limited resources. More so, this project is open for further development and more exploration into the area not thus study as the need arise and new innovation enumerate to meet the changing society.

5.1 Recommendation

This project will be fulfilled if the following recommendation are adopted:

  1. Introduction of computer
  2. Training of staff and personnel on short-term awareness course on computer so as to acquire the basic computer knowledge
  3. Lectures should be given on the type of computers to purchase, type of software to be acquired and mode of acquisition.

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