vii TABLE OF CONTENTS CHAPTER 1 2 TITLE PAGE DECLARATION ii DEDICATION iii AKNOWLEDGEMENTS iv ABSTRACK v ABSTRAK vi TABLE OF CONTENTS vii LIST OF TABLES xii LIST OF FIGURES xiii LIST OF ABBREVIATIONS xvi LIST OF SYMBOLS xx LIST OF APPENDICES xxiii INTRODUCTION 1 1.1 Overview 1 1.2 Background to the Research Problem 2 1.3 Problem Formulation 3 1.4 Research Objectives 3 1.5 Scope of the Study 4 1.6 Thesis Contributions 5 1.7 Research Relevance 5 1.8 Thesis Outline 6 LITERATURE REVIEW 7 2.1 Overview 7 2.2 Organization of the Literature Review 8 viii 2.3 2.4 2.5 Road Capacity 8 2.3.1 Significance 11 2.3.2 Passenger Car Equivalence Values 14 2.3.3 HCM Level of Service 14 2.3.4 Factors Influencing Road Capacity 16 Highway Capacity Estimation Methods 17 2.4.1 Observed headways 18 2.4.2 Observed Volume 21 2.4.2.1 Observed Extreme Methods 21 2.4.2.2 Expected Extreme Value Methods 22 2.4.2.3 Asymptotic Method 23 2.4.3 Observed Volume and Speed 25 2.4.4 Observed Volumes, Speeds and Densities 30 Highway Capacity Disturbances 31 2.5.1 Generalised Highway Capacity Disturbances 32 2.5.2 Typical Highway Capacity Disturbances in Malaysia 34 2.5.3 2.6 3 Highway Capacity Loss and Trapezoidal Flow Contraction. 34 Inclement Weather Conditions 37 2.6.1 Rainfall Intensities 37 2.6.2 Rainfall Measurements 38 2.7 Rainfall and Highway Capacity Relationships 39 2.8 Rainfall Induced Passenger Car Equivalent Values 41 2.9 Rainfall Induced Traffic Shock Waves 43 2.10 Summary 45 HIGHWAYS AND RAINFALL IN MALAYSIA 47 3.1 Overview of Road Development in Nigeria 47 3.2 Highway Design and Construction 50 3.2.1 Arterial Highway 52 3.2.2 Gravel and Earth Roads 53 3.2.3 Roadway Assumptions 54 ix 3.3 4 Highway Maintenance and Rehabilitation 55 3.3.1 Routine Maintenance 55 3.3.2 Recurrent Maintenance 55 3.3.3 Periodic Maintenance 56 3.3.4 Rehabilitation 56 3.4 Survey of Roadway Conditions in Malaysia 57 3.5 Rainfall in Malaysia 58 3.5.1 The Wind Flow 59 3.5.2 Temperature Distribution 59 3.5.3 Relative Humidity 60 3.5.4 Rainfall 61 3.6 Sources for Rainfall Data 61 3.7 Impact of Rainfall on Traffic 63 3.8 Summary 64 DATA COLLECTION 66 4.0 Overview 66 4.1 Research Methodology 67 4.2 Criteria for Selection 69 4.2.1 Rainfall Data 70 4.2.2 Highway Sections 70 4.3 4.4 Assessment of Selected Sites 71 4.3.1 Site FT001-Skudai-Pontian Highway 5 Johor State 71 4.3.2 Site FT002-Pontian-Skudai Highway 5 Johor State 74 4.3.3 Site FT003-Dungun-Terengganu 3 74 4.3.4 Site FT004-Terengganu-Dungun 3 74 Survey Methods Used in the Study 75 4.4.1 Sampling 75 4.4.2 Survey Site Coding 76 4.4.3 Survey Team and Equipment 77 4.4.3.1 Installation of the Tubes 78 4.4.3.2 Status of the Automatic Traffic Counter 80 4.4.3.3 Automatic Traffic Counter set up 80 x 4.4.3.4 Downloading Data from the Detector 81 4.4.3.5 Problems Encountered in Setup and Data 82 Collections 4.4.4 Layout of Typical Survey Site 85 4.4.5 Traffic Volume Surveys 85 4.4.6 Vehicles Speed Survey 85 4.4.7 Headway and Vehicle Gap Surveys 86 4.4.8 Rainfall Surveys 87 4.4.8.1 Rainfall Categories Used in the study 4.5 Appraisal of Sample Data and Analytical Methods 87 87 4.5.1 Appraisal of Sample Data for Pilot Test Site FT005 89 4.6 5 89 Summary 99 EMPIRICAL RESULTS 100 5.1 Overview 100 5.2 Empirical Results from Surveyed Sites 101 5.2.1 Site I: Skudai-Pontian 102 5.2.2 Site II: Pontian-Skudai 106 5.2.3 Site III: Dungun-Terengganu 110 5.2.4 Site IV: Terengganu-Dungun 113 Summary 117 5.3 6 4.5.2 Analytical Methods HIGHWAY CAPACITY ANALYSIS USING ARAHAN TEKNIK (77/86) 118 6.1 Overview 118 6.2 Establishing the Capacity for the Roadway Sections. 119 6.2.1 Site I: Peak Traffic 126 6.2.2 Site II: Pontian-Skudai 128 6.2.2.1 Off-peak Traffic 128 6.2.2.2 Peak Traffic 129 6.2.3 Site III: Dungun-Terengganu 6.2.3.1 Off-peak Traffic 131 131 xi 6.2.3.2 Peak Traffic 131 6.2.4 Site IV: Terengganu-Dungun 7 134 6.2.4.1 Off-peak Traffic 134 6.2.4.2 Peak Traffic 134 6.3 Model Coefficients 137 6.4 Road Capacity Loss Results 139 6.5 Summary 142 ESTIMATION OF MODIFIED PCE VALUES 144 7.1 Overview 144 7.2 Evaluation of Modified PCE Values Using Empirical Data 145 7.3 7.2.1 PCE Analysis for Dry Weather Conditions 146 7.2.2 PCE Analysis for Light Rain Condition 148 7.2.3 PCE Analysis for Moderate Rain Condition 150 7.2.4 PCE Analysis for Heavy Rain Condition 151 Comparison between the Modified PCE values, The Arahan Teknik and the Malaysian Highway Capacity Manual PCE 7.4 8 values. 152 Summary 155 APPLICATION OF MODIFIED PCE VALUES 157 8.1 Overview 157 8.2 Highway Capacities Using Modified PCEs’ 158 8.2.1 Site I: Modified PCE off-peak Traffic 159 8.2.2 Site II: Modified PCE off-peak Traffic 165 8.2.3 Site III: Modified PCE off-peak Traffic 166 8.2.4 Site IV: Modified PCE off-peak Traffic 167 8.3 Model Coefficients 168 8.4 Effect of Modified PCE on Highway Capacity 169 8.5 Implication for Traffic Shockwave Propagation 171 8.5.1 Shock wave Evaluation for Site I 173 8.5.2 Shock wave Evaluation for Site II 175 xii 9 8.5.3 Shock wave Evaluation for Site III 176 8.5.4 Shock wave Evaluation for Site IV 178 8.6 Shock Wave Implication under Rainfall 179 8.7 Summary 180 CONCLUSIONS 181 9.1 Overview 181 9.2 Summary of Findings based on Rainfall Conditions 182 9.3 Summary of Findings based on Road Capacity Loss Analy184 9.4 Synthesis of Evidences Obtained from Roadway Capacity 9.5 Loss and Rainfall Relationship 185 The Way Forward 186 REFERENCES APPENDICES 189 A-- D 195-210 xiii LIST OF TABLES TABLE NO. TITLE PAGE 2.1 Computed Capacity Probability using Product Limit Method 29 2.2 Rainfall Intensity Categorization 39 2.3 Standard Malaysian PCE Values in Arahan Teknik 45 3.1 Distribution of Federal Roads in Malaysia 48 3.2 Distribution of State Roads in Malaysia 49 3.3 Rain Gauge Stations under the Department of Irrigation and Drainage 62 3.4 Weather Radar Stations in Malaysia 63 4.1 Survey Summary Sheets 71 4.2 Survey Sites Summary Sheets 72 4.3 Vehicle Logging Information 82 4.4 Pilot Test Data for Site PT005 93 4.5 Summary of Critical Densities and Capacities 98 5.1 Summary of Features for the Survey Sites 101 5.2 Site I Traffic Volume and Speed per period (Off-Peak) 104 5.3 Site I Hourly Traffic Volume and Speed (Off-Peak) 104 5.4 Site I Traffic Volume and Speed per Period (Peak) 105 5.5 Site I Hourly Traffic Volume and Speed (Peak) 105 5.6 Traffic Composition at Site I 106 5.7 Site II Traffic Volume and Speed per period (Off-Peak) 107 5.8 Site II Hourly Traffic Volume and Speed (Off-Peak) 108 5.9 Site II Traffic Volume and Speed per Period (Peak) 108 5.10 Site II Hourly Traffic Volume and Speed (Peak) 109 5.11 Traffic Composition at Site II 109 xiii 5.12 Site III Traffic Volume and Speed per period (Off-Peak) 111 5.13 Site III Hourly Traffic Volume and Speed (Off-Peak) 111 5.14 Site III Traffic Volume and Speed per Period (Peak) 112 5.15 Site III Hourly Traffic Volume and Speed (Peak) 112 5.16 Traffic Composition at Site II I 113 5.17 Site IV Traffic Volume and Speed per period (Off-Peak) 114 5.18 Site IV Hourly Traffic Volume and Speed (Off-Peak) 115 5.19 Site IV Traffic Volume and Speed per Period (Peak) 115 5.20 Site IV Hourly Traffic Volume and Speed (Peak) 116 5.21 Traffic Composition at Site II I 116 6.1 Computed Flows and Densities (Dry and Off-Peak) for Site I 120 6.2 Computed Flows and Densities (Light and Off-Peak) for Site I 121 6.3 Computed Flows and Densities (Mod and Off-Peak) for Site I 121 6.4 Computed Flows and Densities (Heavy and Off-Peak) for Site I 122 6.5 Site I Summary of Existing and Predicted States for Off-Peak 127 6.6 Site I Summary of Existing and Predicted States for Peak 127 6.7 Site II Summary of Existing and Predicted States for Off-Peak 129 6.8 Site II Summary of Existing and Predicted States for Peak 130 6.9 Site III Summary of Existing and Predicted States for Off-Peak 132 6.10 Site III Summary of Existing and Predicted States for Peak 133 6.11 Site IV Summary of Existing and Predicted States for Off-Peak 135 6.12 Site IV Summary of Existing and Predicted States for Peak 135 6.13 Summary of Model Coefficients for Off-Peak Traffic 136 6.14 Summary of Model Coefficients for Peak Traffic 137 6.15 Off-Peak Results Summary for all Sites 140 7.1 PCE Evaluation for Dry Weather Condition 146 7.2 PCE Evaluation for Light Rain Condition 149 7.3 PCE Evaluation for Moderate Rain Condition 150 7.4 PCE Evaluation for Heavy Rain Condition 151 7.5 PCE Values for Study, Arahan Teknik and Malaysian Highway 7.6 Capacity Manual 152 Percent Differences between Study values and Arahan Teknik 152 xiv 7.7 Percent Differences between Study values and Malaysian Highway Capacity Manual 153 8.1 Modified Flows and Densities (Dry & Off-Peak) for Site 1 160 8.2 Modified Flows and Densities (Light Rain & Off-Peak) for Site I 161 8.3 Modified Flows and Densities (Mod. Rain & Off-Peak) for Site I 161 8.4 Modified Flows and Densities (Heavy Rain & Off-Peak) for Site I 162 8.5 Site I Highway Capacities Using Modified PCE Values for Off-Peak 165 8.6 Site II Highway Capacities Using Modified PCE Values for Off-Peak 167 8.7 Site III Highway Capacities Using Modified PCE Values for Off-Peak 168 8.8 Site IV Highway Capacities Using Modified PCE Values for Off-Peak 169 8.9 Summary of Model Coefficients for off-Peak Traffic (Modified PCE) 170 8.10 Summary of Road Capacity using Arahan Teknik and Modified PCE 171 8.11 Traffic States for Site I (Skudai-Pontian) 175 8.12 Traffic Shock Wave Propagation for Site I (Skudai-Pontian) 175 8.13 Traffic States for Site II (Pontian-Skudai) 176 8.14 Traffic Shock Wave Propagation for Site II (Pontian-Skudai) 177 8.15 Traffic States for Site III (Dungun-Terengganu) 178 8.16 Traffic Shock Wave Propagation for Site III (Dungun-Terengganu) 178 8.17 Traffic States for Site IV (Terengganu-Dungun) 179 8.18 Traffic Shock Wave Propagation for Site IV (Terengganu-Dungun) 179 xiii LIST OF FIGURES FIGURE NO. TITLE PAGE 2.1 Speed-Density Relationship of Fundamental Diagram 13 2.2 Flow-Density Relationship of Fundamental Diagram 13 2.3 Speed-Flow Relationship of Fundamental Diagram 14 2.4 Capacity and Weather Condition 18 2.5 Classification of Roadway Capacity Estimation Methods 20 2.6 Cumulative Distributions from Product Limit Method 30 2.7 Fundamental Diagram of Traffic for Normal and Rain Conditions 37 2.8 A Rain Gauge Station 40 2.9 Traffic Flow Shock wave 46 4.1 Flow Chart Showing the Logic of the Analytical Procedure 68 4.2 Skudai-Pontian Highway 5 Johor State 73 4.3 Dungun-Terengganu Highway 3 Terengganu State 73 4.4 Schematic Diagram of Survey Sites Along Federal Routes 3 and 5 76 4.5 Single Sensor Configuration 79 4.6 Two Sensor Configuration 79 4.7 Automatic Traffic Classifier 79 4.8 Accessories for ATC 79 4.9 Pneumatic Tube 79 4.10 Layout of Typical Survey Sites 85 4.11 Flow-Density for Pilot Test Data 90 4.12 Sample Worksheet for Data Processing in the Excel platform 92 4.13 Flow-Density Curve for Dry and Rainy Conditions 95 5.1 Site I Traffic Flow Profile 102 5.2 Site I Volume-Density Plot 103 5.3 Site II Traffic Flow Profile 106 xiii 5.4 Site II Volume-Density Plot 107 5.5 Site III Traffic Flow Profile 110 5.6 Site III Volume-Density Plot 110 5.7 Site IV Traffic Flow Profile 113 5.8 Site IV Volume-Density Plot 114 6.1 Schematic Evaluation Criteria 119 6.2 Flow-Density Relation between Dry and light Rain (Site I) 123 6.3 Flow-Density Relation between Dry and Moderate Rain (Site I) 123 6.4 Flow-Density Relation between Dry and Heavy Rain For Off- Peak Traffic (Site I) 6.5 Flow-Density Plots between Dry and Rainy Conditions for Peak Traffic (Site I) 6.6 132 Flow-Density Relation between Dry and Rainy Conditions for OffPeak Traffic (Site IV) 6.11 131 Flow-Density Relation between Dry and Rainy Conditions for Peak Traffic (Site III) 6.10 129 Flow-Density Relation between Dry and Rainy Conditions for OffPeak Traffic (Site III) 6.9 128 Flow-Density Relation between Dry and Rainy Conditions for Peak Traffic (Site II) 6.8 126 Flow-Density Relation between Dry and Rainy Conditions for OffPeak Traffic (Site II) 6.7 124 134 Flow-Density Relation between Dry and Rainy Conditions for Peak Traffic (Site IV) 135 6.12 Typical Roadway Capacity Loss 140 8.1 Flow-Density Plots between Dry and Light Rain Using Modified PCE Values 8.2 Flow-Density Plots between Dry and Moderate Rain Condition Using Modified PCE Values. 8.3 161 Flow-Density Plots between Dry and Heavy Rain Condition Using Modified PCE Values 8.4 160 Flow-Density Plots between Dry and Rainy Conditions 161 xiv Using Modified PCE Values. 8.5 Flow-Density Plots between Dry and Rainy Conditions Using Modified PCE Values. 8.6 164 165 Flow-Density Plots between Dry and Rainy Conditions Using Modified PCE Values. 167 8.7 Shock Wave Representation under Rainfall 170 8.8 Location of Existing Traffic State on Flow Diagram 171 8.8 Traffic Shock Wave Triangle 172 xv LIST OF ABBREVIATIONS ADT - Annual Daily Traffic ATC - Automatic Traffic Counter FD - Fundamental Diagram FHWA - Federal Highway Administration GQM - Generalised Queuing Model HCM - Highway Capacity Manual HGV - Heavy Goods Vehicle JKR - Jabatan Kerja Raya LGV - Light Goods Vehicle LOS - Level of Service MHA - Malaysian Highway Authority MMD - Malaysian Meteorological Department PC - Passenger Car PCE - Passenger Car Equivalent pdf - Probability Density Function SMS - Space Mean Speed SPM - Semi-Poisson Model SSD - Stopping Sight Distance TRB - Transportation Research Board TMS - Time Mean Speed UAP - Urban All-Purpose Road WMO - World Meteorological Organization xvi LIST OF SYMBOLS hm - Mean Traffic Stream Headway Hij - Headway of Vehicle Class i under condition j q - Flow or Volume k - Traffic Density v - Traffic Speed qc - Traffic Capacity F(x) - Cumulative Distribution Function f(x) - Probability Density Function R(t) - Reliability Function PCEi - Passenger Car Equivalent of vehicle Class i xvii LIST OF APPENDICES APPENDIX TITLE PAGE A Site I Macroscopic Traffic Data 195 B Site II Macroscopic Traffic Data 200 C Site III Macroscopic Traffic Data 205 D Site IV Macroscopic Traffic Data 210