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Report submitted in fulfilment of the requirements for Bachelor of Science (Hons.) Management Mathematics

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UNIVERSITI TEKNOLOGI MARA

ASSIGNMENT MODEL APPROACH FOR PLANNING AND ALLOCATING

GOVERNMENT TENDERS

Muhammad Hafiz Bin Abd Hamid

Report submitted in fulfilment of the requirements for Bachelor of Science (Hons.) Management Mathematics

Faculty of Computer and Mathematical Sciences

NOVEMBER 2018

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STUDENT'S DECLARATION

I certify that this report and the research to which it refers are the product of my own work and that any ideas or quotation from the work of other people, published or otherwise are fully acknowledged in accordance with the standard referring practices of the discipline.

………

MUHAMMAD HAFIZ BIN ABD HAMID 2016635818

NOVEMBER 30, 2018

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v

ABSTRACT

In this research, the concept of assignment problem was applied to solve a problem for government department (Jabatan Kerja Raya Perak) which had difficulty is assigning six different tender projects to six different contractors. In this research, tenders projects called as 1, 2, 3, 4, 5 and 6 while contractors called as A, B, C, D. E and F. Based on the data collected, an assignment method known as Hungarian Method was used to solve the problem in obtaining optimal solution. Optimal assignments of the tender projects to the contractors were obtained for the Jabatan Kerja Raya Perak. The results showed that tender projects 1, 2, 3, 4, 5 and 6 should be assigned to contractors F, A, D, B, C and E respectively. The research find that the total optimal cost to be expended on all tender projects was RM 15,040,000 which was lesser than the actual cost.

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vi

TABLE OF CONTENTS

CONTENTS PAGE

SUPERVISOR’S APPROVAL ii

DECLARATION iii

ACKNOWLEDGEMENT iv

ABSTRACT v

TABLE OF CONTENTS vi

LIST OF FIGURES viii

LIST OF TABLES ix

LIST OF ABBREVIATIONS x

CHAPTER ONE: INTRODUCTION

1.1 Background of the Study 1

1.2 Problem Statement 3

1.3 Objective of the Study 4

1.4 Scope of the Study 4

1.5 Significance of the Study 5

1.6 Summary 5

CHAPTER TWO: LITERATURE REVIEW

2.1 Assignment model 6

2.2 Application of Assignment Model 7

2.3 Previous Study on Government Tenders 11

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vii

CHAPTER THREE: RESEARCH METHODOLOGY

3.1 Method of Data Collection 13

3.2 Mathematical Statement of the Problem 13

3.3 Solution of the Assignment Model 15

CHAPTER FOUR: RESULTS AND DISCUSSIONS

4.1 Introduction 20

4.2 Data Collection and Analysis 20

4.3 Results 27

4.4 Summary 27

CHAPTER FIVE: CONCLUSIONS AND RECOMMENDATIONS

5.1 Introduction 28

5.2 Conclusions 28

5.3 Recommendations 29

REFERENCES 30

APPENDICES 32

Referensi

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