SIMULATION OF A QUEUING SYSTEM
(A CASE STUDY OF IMO STATE TRANSPORT COMPANY ITC OWERRI)
  Abstract
 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
 CHAPTER ONE: INTRODUCTION
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:
INTRODUCTION
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:
a.             To test hypothesis and to design or experiment with system that may not yet be available for direct observation or experiment
b.             By applying digital simulation to help find solutions to problems relating resources allocations to production schedule.
c.             To achieve an economic balance between the cost of service and the cost associated with the wait required for the service.
d.             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:
i.              The study will go a long way to understand complex interaction of physical or social environmental factors.
ii.             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.
iii.            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
iv.            This study will save cost in terms of time and money
v.             With the use of simulation model, the risk involved in working on the real system is avoided.
vi.            The complexity of the real life system demands a representative model will ease the understanding of the model