Essay about Queing Theory and Its Application to Road Traffic Congestion

QUEUEING THEORY AS WELL AS APPLICATION

TO ROAD TRAFFIC CONGESTION

BY SIMPLY

CHIEDU NELSON CALED

PSC060774

TASK MANAGEMENT WORK SHOWN TO THE DEPARTMENT

OF MATHEMATICS, FACULTY OF PHYSICAL SCIENCE,

UNIVERSITY OF BENIN IN PARTIAL FULFILMENT OF

THE REQUIREMENT OF THE AWARD OF BACHELOR OF

SCIENCE (B. SC) (COMBINED HONOURS) DEGREE IN

STATISTICS AND COPMPUTER

NOVEMBER 2012.

CERTIFICATION

This can be to certify that this task was carried out by CHIEDU NELSON CALEB from the Department of Mathematics, Faculty of Physical Sciences, and University of Benin, Benin-City, Edo State, Nigeria.

______________________ _____________________

Osagiede Francis E. U, Ph level. D Prof. M. And. O Ikhile Project Director Head of Department

____________________ _____________________

DateDate

DEDICATION

This kind of project is usually affectionately focused on Jehovah Our god our heavenly father to get his treatment, protection, direction and his infinite mercy after me. My brothers and sisters amidst who are Wisdom, Naomi, Jubilee and Happiness for unending take pleasure in. And all others too numerous to mention in charge of giving me their support, counsel and encouragement.

ACKNOWLEDGEMENT

Writing and publishing any book is dependent more for the inspiration, guidance, help and interest by others. The task involved in executing and achieving the completion of a work of this kind is a intricate one. My own sincere gratitude goes to Jehovah God, whom gave me lifespan, the knowledge plus the wisdom throughout my academic pursuits I need to put on record the great patience, understanding and assistance that i receive via my task Supervisor Dr . Osagiede Francis E. U for his patience wonderful pain taking in going through the manuscript of the project. I also communicate of ardent gratitude to Engr. Oche Prince Patrick and to every who led directly or indirectly to the project operate. However , We am especially indebted for all my classes in the division of mathematics and pc science because of their moral support throughout the life long my studies amongst who are Doctor F. Ewere and the web host of others. May God offer you everything you heart wants in your work in life.

DESK OF ARTICLES

Title Page----------i

Certification ---------ii

Dedication ----------iii

Acknowledgement --------iv

Table of Content ---------v

Abstract ----------viii

CHAPTER 1

1 . 0Introduction --------1

1 . 1Background from the Study -------1

1 . 2Definition of Terms -------4

1 . 3 Poisson Distribution -------5

1 . some Exponential Distribution ------5

1 . 5Objectives from the Study-------8

1 . 6 Opportunity of the Study -------8

1 ) 7Relevance with the Study -------8

CHAPTER TWO

2 . 0 Literature Assessment -------9

installment payments on your 1Queue Behavior --------17

installment payments on your 2Queue Discipline --------18

installment payments on your 3Priority Self-discipline --------21

2 . 4 Targeted traffic Intensity and Idle Period -----22

installment payments on your 5 Arrival and Assistance Patterns ------23

CHAPTER 3

3. 0 Introduction --------27

3. you Continuous Random Variable ------27

3. two Probability Circulation of a Ongoing ----29

three or more. 3 Total Distribution Function -----30

several. 4 Normal Distribution -------32

3. five Poisson Division -------34

3. 6 Rapid Distribution ------37

3. 7 Input/ Arrival Distribution ------39

3. almost 8 Service Pieces -------40

several. 9 Assistance Facility --------40

3. 12 Service Syndication -------41

3. 11 Support Capacity --------41

3. 12 Assumptions --------42

3. 13 Notations ---------44

CHAPTER FOUR

4. 0 Introduction --------51

4. 1 Application of Queuing System/Case Analyze ----51

4. 3Source of information --------51

four. 4 Info Analysis --------54

CHAPTER...