Final contract report benefits estimates of highway capital improvements with uncertain parameters


Table 8. Sample Input Data for the NOVA District Projects



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Table 8. Sample Input Data for the NOVA District Projects





Project ID

Jurisdiction

Construction cost

(thousand $)

2090001

Arlington

14,000

2090002

Arlington

18,000

2090003

Arlington

11,000

2090005

Arlington

18,000

The lower and higher values of maintenance cost and other lifecycle costs over the project life are estimated for each project using the input data and input parameters. For example, Table 9 shows the undiscounted and discounted values of the life-cycle cost for the sample of projects shown in Table 8.
Table 9. Undiscounted and Discounted Life-Cycle Costs for the NOVA District Projects



Project ID

Undiscounted Life-Cycle Cost

Discounted Life-Cycle Cost

Low

High

Low

High

2090001

$2,333,333

$9,800,000

$1,355,325

$5,820,207

2090002

$3,000,000

$12,600,000

$1,742,560

$7,483,123

2090003

$1,833,333

$7,700,000

$1,064,898

$4,573,020

2090005

$3,000,000

$12,600,000

$1,742,560

$7,483,123

The low and high estimates of the present value of the capital cost are developed for each project. The range associated with the present value of the project capital costs depends on the range of construction time associated with that project. Table 10 shows lower and higher estimates of an undiscounted combination of capital, maintenance and other life-cycle cost for the sample of projects shown in Table 8.


Table 10. Total Cost Estimates for the NOVA District Projects

Project ID


Capital + maintenance +other life-cycle costs

Low

High

2090001

$16,683,333

$24,976,000

2090002

$21,450,000

$32,112,000

2090003

$13,108,333

$19,624,000

2090005

$21,450,000

$32,112,000

Overall, the cost estimation model can provide a systematic approach for incorporating life-cycle cost estimates to the cost-benefit analysis of road improvements and can be used in future research.


RESULTS
Overview
A case study of the Northern Virginia district demonstrates an application of above methodology and provides results in several sections: crashes avoided, travel time savings, reduced vehicle operating costs, emissions avoided, and heavy truck traffic.
There are 53 total candidate projects for Northern Virginia district with costs ranging from $2 million to $130 million. The input data collected for this district is shown in Table 11. Each project is labeled by its ID number. The input parameters shown in the table are road type, length of the project, 2004 volume-to-capacity ratio during peak period, 2004 AADT, crash rate, number of heavy trucks per day and total cost of the project.
In interpreting the results, it is important to note some common assumptions on which results are based. For example, the lifetime of each project is considered to be 25 years. It is assumed that project implementation will cause reduction in volume-to-capacity ratio in a uniform range between 10% and 50%. Roadway length influenced by the project, l is considered to be five times the length of the project. The proportion of traffic that occurs during the peak period, is fixed at 25% of AADT. These values can be changed as required in the prototype prioritization software.
Table 11. Northern Virginia Input Data


ID

Road

type

Project length

(miles)

2004

V/C ratio

2004

AADT

Crashes per 100 million VMT

# Heavy trucks per day

Total Cost

(thousand $)

2090001

U6D

0.91

1.24

76,213

88.92

1,451

14,000

2090002

U6D

1.37

1.64

70,000

101.48

1,400

18,000

2090003

U6D

0.40

0.6

27,220

541.37

272

11,000

2090005

U6D

1.08

1.22

32,073

255.54

321

18,000

2090007

U6D

0.64

1.41

66,326

313.1

663

7,000

2090009

U6D

0.47

1.1

74,976

135.19

1,500

10,000

2090011

U6D

0.83

0.94

34,878

703.35

1,046

13,000

2090012

U6D

0.22

0.8

29,675

578

890

4,000

2090013

U4

0.40

0.98

14,564

232.81

146

5,000

2090014

U4

1.99

0.62

16,225

385.66

487

20,000

2090015

U4D

0.07

1.66

26,228

652.8

525

2,000

2090016

U4D

1.72

1.04

33,500

808.07

1,005

16,400

2090018

U4D

0.23

0.96

33,500

481.12

1,005

5,000

2090019

U4D

1.02

1.15

14,000

391.28

467

14,000

2090020

U4D

1.17

0.72

15,355

468.61

461

12,000

2090025

U6D

8.80

1.56

61,082

184.73

1,222

130,000

2090026

U8D

2.23

1.22

68,460

532.61

3,423

54,000

2090027

U6D

1.92

1.04

36,840

458

1,105

20,000

2090028

U8D

0.52

0.89

50,694

574.67

2,535

10,000

2090029

U6D

1.38

1.33

50,655

585.41

2,533

22,000

2090030

U6D

2.67

1.75

60,697

286.9

3,035

28,500

2090032

R4D

0.70

0.57

15,451

57

310

12,000

2090033

U6D

5.53

1.12

39,181

245.13

1,567

65,000

2090036

U8D

0.82

2.05

69,679

184.54

2,090

14,000

2090037

U6D

3.27

1.15

58,615

282.93

1,758

40,000

2090040

U6D

12.57

1.2

37,828

182.89

1,135

130,000

2090045

U6D

3.09

2.02

61,000

198.29

1,725

40,000

2090046

U6D

0.87

1.04

53,000

294.85

530

15,000

2090047

U8D

0.87

1.6

77,094

552.82

771

15,000

2090048

U6D

4.96

1.4

47,541

243.37

475

60,000

2090049

U4

0.81

1.23

30,507

84.22

305

8,000

2090053

U6D

7.27

1.59

54,000

427.72

1,620

90,000

2090055

U4

0.50

1.28

35,000

300

700

4,000

2090056

U6D

2.36

0.98

36,222

555.45

1,811

30,000

2090057

U4D

2.35

1.8

25,605

190.04

768

23,000

2090100

U6D

5.05

0.97

39,116

305.17

391

65,000

2090069

U6D

12.00

1.23

36,500

457

933

32,600

2090070

U6D

8.00

1.23

36,500

227

2,190

80,000

2090072

R4D

4.20

0.46

15,670

127.9

940

30,000

2090073

U6D

3.50

1.32

29,112

297.75

2,329

28,000

2090074

U6D

2.13

1.64

50,000

303.64

2,500

40,000

2090076

U6D

0.80

1.32

59,000

513

4,720

125,000

2090077

U4D

0.64

0.26

7,173

855

645

8,000

2090083

U6D

1.78

1.32

33,573

446.48

2,016

28,200

2090085

U6D

1.28

0.32

5,550

185

500

12,000

2090062

R6D

2.38

1.09

48,000

78

2,400

50,000

2090XXX

R6D

2.87

0.83

62,000

279

3,100

50,000

2090101

R6D

5.29

0.58

39,278

117.9

3,142

130,000

2090102

U8D

5.61

1.07

61,004

137.99

1,220

100,000

N1

R4D

4.25

1.64

50,000

156.74

1,500

115,000

N2

R4D

5.60

1.62

85,107

156.74

851

60,000

N3

R4D

4.00

1.54

95,182

156.74

3,807

7,000

N4

R4D

5.30

1.54

95,182

156.74

3,807

50,000


Crashes Avoided
Lower, higher and median values of benefit-cost ratio due to crashes avoided are calculated. Figure 1 provides graphical presentation of the results from the analysis of the benefits of crashes avoided. Each horizontal bar in the graph starts at the lower value of benefit-cost ratio and ends at the higher value. The vertical mark on each bar represents median estimate. The bars are labeled by their associated project ID. The graph highlights which projects have the highest benefit-cost ratio, where the monetized benefits are based upon the anticipated crashes avoided.
Figure 2 is a comparison of the number of crashes to the benefit-cost ratio. The projects located toward the top right of the figure have more crashes per year and higher vehicle miles traveled. The size of the bubble corresponds to the median estimate of benefit-cost ratio. In general, the projects in the lower left tend to have smaller benefit-cost ratios as compared to the projects located in the upper right.
Figure 3 shows the results of the cost-effectiveness calculation of crashes avoided per dollar. This graph is related to Figure 1 in that the ordering of the candidate projects is the same.


Figure 1. Benefit-Cost Ratio for the Crashes Avoided


Figure 2. Comparison of Number of Crashes to the Benefit-Cost Ratio



Figure 3. Cost Effectiveness Analysis for the Crashes Avoided
Table 12 provides the top five candidate projects using two different prioritization rules: the benefit-cost ratios for crash avoidance, and the current crash rate based scoring rule associated with safety goal used by VDOT. The project 2090016 is the only common project among the top five projects generated by both the prioritization rules.



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