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From page 73...
... 73 P A R T 2 DEScRiPtion of thE MEthoD While the data-driven method shows promise, additional validation is required for the underlying theories, method, and test applicant results. Suggestions for further research are presented in this section.
From page 74...
... 74 C H A P T e R 5 The objectives of the L35B project are to • Select and defend a value or range of values for travel time reliability for the Maryland State Highway network. • Use the value of travel time reliability (VOR)
From page 75...
... 75 the state of Maryland are reported. Analysis performed on the results of this application are presented and models to relate the travel time reliability ratio and average travel time, as well as 95th percentile travel time and average travel time, are calibrated.
From page 76...
... 76 Background Before details of the proposed approach are presented, some background is provided on the relationship between travel time and travel cost, the role of random utility in classic discrete choice analysis, and definitions of travel time and travel time reliability values based on the existence of a utility concept. In addition, two different approaches to travel time reliability valuation based on the travel time insurance analogy are presented.
From page 77...
... 77 and its variability (a measure of unreliability) are regarded as sources of disutility.
From page 78...
... 78 However, in the case of the additive linear utility function Equation 6.6, this equality will be exact. Note that the certainty-equivalent addition to average travel time (X)
From page 79...
... 79 is the sum of the utility of the initial consumption at Point A and the traveler's expectation of the discounted (with factor b) utility of consumption at the end of the trip at Point B as shown in Equation 6.17.
From page 80...
... 80 In this project, option pricing theory is adopted to determine the value of travel time reliability (VOR)
From page 81...
... 81 The reported application is based on the option-theoretic concept, which is a well-documented and comprehensively studied topic in the field of finance. While this is an innovative and bold application of a mature concept from finance into transportation economics, it has been met with criticism by some.
From page 82...
... 82 Methodology The methodology proposed to value travel time reliability based on option theory is described in this chapter. The proposed method is based on an analogy of a travel time insurance policy.
From page 83...
... 83 1 1 2 1 2 (7.8) 2 q q a t′ = − = − − σ    σ     ∆     Then, it can be shown that over any T time units (T = nDt)
From page 84...
... 84 1 0.82 0.18 (7.18) q′ = − ≅ Also, the expectation and variance of log-travel times at any time step (T = nDt)
From page 85...
... 85 at the destination compared with the preferred time of arrival PTA are introduced in a linear-additive form to specify trip utility. Of course, this is a simple specification of the utility in which trip costs and additional terms are ignored.
From page 86...
... 86 the wages lost, impacts of schedule disruptions, and negative reactions by other parties involved (e.g., boss at work, teacher at school, friends and relatives)
From page 87...
... 87 p and 1 - p, respectively. The middle branch is a rescaled version of the top branch where all travel times are expressed in unit time scale.
From page 88...
... 88 Summary Table 8.1 summarizes the reliability valuation method described in previous chapters. For data input, the method uses field measurements of travel time in the form of an ordered data set (time series)
From page 89...
... 89 Table 8.1. Summary of the Proposed Travel Time Data-Driven Method for Estimating VOR/RR Step Description Input Travel time series (time ordered data set)
From page 90...
... 90 Table 8.4. Forward Time Binary Tree Construction (a 5 5%, s 5 10%, Dt 5 2, t(0)
From page 91...
... 91 Table 8.5. Recursive Reliability Valuation (a 5 0.05, b 5 1, r 5 0%, Dt 5 2, E(t)
From page 92...
... 92 Value of Reliability Savings Quantification In classic utility-based reliability valuation, using the reliability ratio concept (Equation 6.5) , value of travel time reliability (VOR)
From page 93...
... 93 Therefore, substituting the option-based reliability value into the reliability cost estimate (Equation 9.5) will result in the following simple expression: = ×RC (9.11)
From page 94...
... 94 Corridor Methodology Example Applications In this chapter the application of the proposed methodology using real-world cases is presented. Five major corridors in the state of Maryland are selected for the analysis.
From page 95...
... 95 Source: Map data ©2014 Google. Figure 10.1.
From page 98...
... 98 0 5 10 15 20 25 30 35 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Average Travel Time (Minute)
From page 99...
... 99 0 10 20 30 40 50 60 70 0 10 20 30 40 50 60 70 80 90 100 Y = –0.291+1.320X R2= 0.971 Average Travel Time (Minute)
From page 100...
... 100 Figure 10.8. Estimated versus observed reliability ratios.
From page 101...
... 101 References: Part 2 1. Ben-Akiva, M., and S
From page 103...
... 103 Background on Stochastic Processes Brownian Motion and Wiener Process Robert Brown (1773–1858) was an early nineteenth-century botanist who studied the jittery motion of small grains of pollen in water under a microscope.
From page 104...
... 104 It should be noted that the latter property holds for every time step size. For instance, over a time step T (equal in size to n smaller time steps)
From page 105...
... 105 the end of each time interval that person takes a step up or down from his current position with certain probabilities. Expanding on the same idea, and starting from the man's initial position on the ladder (x0)
From page 106...
... 106 The mean and variance of the increments of this process are, respectively, ( )
From page 107...
... 107 And the variance of x(t) is given by ( )
From page 108...
... 108 Therefore, the first step to test the hypothesis is to form a series of increments of the natural logarithm of the series {x}: log log log , 1,2, .
From page 109...
... 109 Details on Corridor Examples This appendix provides further details on corridor examples presented in this report. For each corridor, a comprehensive description of standard traffic message channel (TMC)
From page 110...
... 110 Table E.1. Summary Details of Corridors Reported Highway Direction Number of TMC Segments Length (mi)
From page 113...
... 113 Table E.3. TMC Segment Definitions on Southbound I-95 Corridor TMC Roadnumber Firstname County Direction Miles 110N04424 I-95 I-695/Exit 49 BALTIMORE SOUTHBOUND 0.924333 110-04423 I-95 I-195/MD-166/Exit 47 BALTIMORE SOUTHBOUND 1.249014 110N04423 I-95 I-195/MD-166/Exit 47 BALTIMORE SOUTHBOUND 0.663158 110-04422 I-95 I-895/Exit 46 HOWARD SOUTHBOUND 0.727535 110N04422 I-95 I-895/Exit 46 HOWARD SOUTHBOUND 0.449024 110-04421 I-95 MD-100/Exit 43 HOWARD SOUTHBOUND 2.200626 110N04421 I-95 MD-100/Exit 43 HOWARD SOUTHBOUND 0.804464 110-04420 I-95 MD-175/Exit 41 HOWARD SOUTHBOUND 0.971372 110N04420 I-95 MD-175/Exit 41 HOWARD SOUTHBOUND 0.754504 110-04419 I-95 MD-32/Exit 38 HOWARD SOUTHBOUND 1.902851 110N04419 I-95 MD-32/Exit 38 HOWARD SOUTHBOUND 0.658187 110-04418 I-95 MD-216/Exit 35 HOWARD SOUTHBOUND 1.950575 110N04418 I-95 MD-216/Exit 35 HOWARD SOUTHBOUND 1.035439 110-04417 I-95 Howard/Prince George's Co Line (Laurel)
From page 114...
... 114 Figure E.5. Travel time correlations on southbound I-95 corridor: left, AM peak period; right, PM peak period.
From page 115...
... 115 Table E.4. TMC Segment Definitions on Northbound I-270 Corridor TMC Roadnumber Firstname County Direction Miles 110+04103 I-270 MD-187/Old Georgetown Rd/Exit 1 MONTGOMERY NORTHBOUND 1.080863 110P04103 I-270 MD-187/Old Georgetown Rd/Exit 1 MONTGOMERY NORTHBOUND 0.767429 110+04104 I-270 I-270 MONTGOMERY NORTHBOUND 0.08246 110P04104 I-270 I-270 MONTGOMERY NORTHBOUND 0.519118 110+04105 I-270 Montrose Rd/Exit 4 MONTGOMERY NORTHBOUND 1.138529 110P04105 I-270 Montrose Rd/Exit 4 MONTGOMERY NORTHBOUND 0.523902 110+04106 I-270 MD-189/Falls Rd/Exit 5 MONTGOMERY NORTHBOUND 0.956645 110P04106 I-270 MD-189/Falls Rd/Exit 5 MONTGOMERY NORTHBOUND 0.3496 110+04107 I-270 MD-28/Montgomery Ave/Exit 6 MONTGOMERY NORTHBOUND 0.530738 110P04107 I-270 MD-28/Montgomery Ave/Exit 6 MONTGOMERY NORTHBOUND 0.44281 110+04108 I-270 Shady Grove Rd/Exit 8 MONTGOMERY NORTHBOUND 1.468555 110P04108 I-270 Shady Grove Rd/Exit 8 MONTGOMERY NORTHBOUND 0.490285 110+04109 I-270 I-370/Sam Eig Hwy/Exit 9 MONTGOMERY NORTHBOUND 0.393781 110P04109 I-270 I-370/Sam Eig Hwy/Exit 9 MONTGOMERY NORTHBOUND 0.574049 110+04110 I-270 MD-117/Exit 10 MONTGOMERY NORTHBOUND 1.228819 110P04110 I-270 MD-117/Exit 10 MONTGOMERY NORTHBOUND 0.019512 110+04111 I-270 MD-124/Quince Orchard Rd/Exit 11 MONTGOMERY NORTHBOUND 0.419818 110P04111 I-270 MD-124/Quince Orchard Rd/Exit 11 MONTGOMERY NORTHBOUND 0.403289 110+04112 I-270 Middlebrook Rd/Exit 13 MONTGOMERY NORTHBOUND 2.074047 110P04112 I-270 Middlebrook Rd/Exit 13 MONTGOMERY NORTHBOUND 0.212208 110+04113 I-270 MD-118/Exit 15 MONTGOMERY NORTHBOUND 0.477794 110P04113 I-270 MD-118/Exit 15 MONTGOMERY NORTHBOUND 0.648307 110+04114 I-270 Father Hurley Blvd/Exit 16 MONTGOMERY NORTHBOUND 0.28137 110P04114 I-270 Father Hurley Blvd/Exit 16 MONTGOMERY NORTHBOUND 0.635444 110+04115 I-270 MD-121 MONTGOMERY NORTHBOUND 2.170053 110P04115 I-270 MD-121 MONTGOMERY NORTHBOUND 0.220597 110+04116 I-270 MD-109/Exit 22 MONTGOMERY NORTHBOUND 3.841557 110P04116 I-270 MD-109/Exit 22 MONTGOMERY NORTHBOUND 0.216185 110+04117 I-270 MD-80/Exit 26 FREDERICK NORTHBOUND 3.499849 110P04117 I-270 MD-80/Exit 26 FREDERICK NORTHBOUND 0.175235 110+04118 I-270 MD-85/Exit 31 FREDERICK NORTHBOUND 4.713754 110P04118 I-270 MD-85/Exit 31 FREDERICK NORTHBOUND 0.526637 110+04119 I-270 I-70/US-40 FREDERICK NORTHBOUND 0.386697 110P04119 I-270 I-70/US-40 FREDERICK NORTHBOUND 1.014187 110+10532 I-270 Montrose Rd MONTGOMERY NORTHBOUND 0.325862 110P10532 I-270 Montrose Rd MONTGOMERY NORTHBOUND 0.523902 110+10533 I-270 MD-189/Great Falls Rd MONTGOMERY NORTHBOUND 0.956645 110P10533 I-270 MD-189/Great Falls Rd MONTGOMERY NORTHBOUND 0.3496 (continued on next page)
From page 117...
... 117 Figure E.8. Travel time correlations on northbound I-270 corridor: left, AM peak period; right, PM peak period.
From page 118...
... 118 Table E.5. TMC Segment Definitions on Southbound I-270 Corridor TMC Roadnumber Firstname County Direction Miles 110N04119 I-270 I-70/US-40 FREDERICK SOUTHBOUND 0.828202 110-04118 I-270 MD-85/Exit 31 FREDERICK SOUTHBOUND 0.85225 110N04118 I-270 MD-85/Exit 31 FREDERICK SOUTHBOUND 0.512904 110-04117 I-270 MD-80/Exit 26 FREDERICK SOUTHBOUND 4.835362 110N04117 I-270 MD-80/Exit 26 FREDERICK SOUTHBOUND 0.162993 110-04116 I-270 MD-109/Exit 22 MONTGOMERY SOUTHBOUND 3.554346 110N04116 I-270 MD-109/Exit 22 MONTGOMERY SOUTHBOUND 0.173619 110-04115 I-270 MD-121 MONTGOMERY SOUTHBOUND 3.446906 110N04115 I-270 MD-121 MONTGOMERY SOUTHBOUND 0.219727 110-04114 I-270 Father Hurley Blvd/Exit 16 MONTGOMERY SOUTHBOUND 2.257981 110N04114 I-270 Father Hurley Blvd/Exit 16 MONTGOMERY SOUTHBOUND 0.720016 110-04113 I-270 MD-118/Exit 15 MONTGOMERY SOUTHBOUND 0.350407 110N04113 I-270 MD-118/Exit 15 MONTGOMERY SOUTHBOUND 0.622332 110-04112 I-270 Middlebrook Rd/Exit 13 MONTGOMERY SOUTHBOUND 0.487799 110N04112 I-270 Middlebrook Rd/Exit 13 MONTGOMERY SOUTHBOUND 0.276896 110-04111 I-270 MD-124/Quince Orchard Rd/Exit 11 MONTGOMERY SOUTHBOUND 1.934977 110N04111 I-270 MD-124/Quince Orchard Rd/Exit 11 MONTGOMERY SOUTHBOUND 0.256141 110-04110 I-270 MD-117/Exit 10 MONTGOMERY SOUTHBOUND 0.624072 110N04110 I-270 MD-117/Exit 10 MONTGOMERY SOUTHBOUND 0.277579 110-04109 I-270 I-370/Sam Eig Hwy/Exit 9 MONTGOMERY SOUTHBOUND 0.70591 110N04109 I-270 I-370/Sam Eig Hwy/Exit 9 MONTGOMERY SOUTHBOUND 0.920231 110-04108 I-270 Shady Grove Rd/Exit 8 MONTGOMERY SOUTHBOUND 0.404345 110N04108 I-270 Shady Grove Rd/Exit 8 MONTGOMERY SOUTHBOUND 0.419134 110-04107 I-270 MD-28/Montgomery Ave/Exit 6 MONTGOMERY SOUTHBOUND 1.353658 110N04107 I-270 MD-28/Montgomery Ave/Exit 6 MONTGOMERY SOUTHBOUND 0.456915 110-04106 I-270 MD-189/Falls Rd/Exit 5 MONTGOMERY SOUTHBOUND 0.62836 110N04106 I-270 MD-189/Falls Rd/Exit 5 MONTGOMERY SOUTHBOUND 0.574422 110-04105 I-270 Montrose Rd/Exit 4 MONTGOMERY SOUTHBOUND 0.662475 110N04105 I-270 Montrose Rd/Exit 4 MONTGOMERY SOUTHBOUND 0.538567 110-04104 I-270 I-270 MONTGOMERY SOUTHBOUND 1.321096 110N04104 I-270 I-270 MONTGOMERY SOUTHBOUND 0.191081 110-04103 I-270 MD-187/Old Georgetown Rd/Exit 1 MONTGOMERY SOUTHBOUND 0.241165 110N04103 I-270 MD-187/Old Georgetown Rd/Exit 1 MONTGOMERY SOUTHBOUND 0.808069 110-04102 I-270 I-495/MD-355 MONTGOMERY SOUTHBOUND 1.091365 110-10538 I-270 MD-124/Montgomery Village Ave MONTGOMERY SOUTHBOUND 0.290132 110N10538 I-270 MD-124/Montgomery Village Ave MONTGOMERY SOUTHBOUND 0.302498 110-10537 I-270 MD-117/W Diamond Ave MONTGOMERY SOUTHBOUND 0.577716 110N10537 I-270 MD-117/W Diamond Ave MONTGOMERY SOUTHBOUND 0.277579 (continued on next page)
From page 120...
... 120 Figure E.11. Travel time correlations on southbound I-270 corridor: left, AM peak period; right, PM peak period.
From page 121...
... 121 Table E.6. TMC Segment Definitions on Clockwise (Inner Loop)
From page 124...
... 124 Table E.7. TMC Segment Definitions on Counterclockwise (Outer Loop)
From page 127...
... 127 Table E.8. TMC Segment Definitions on Northbound MD-295 Corridor TMC Roadnumber Firstname County Direction Miles 110+04265 MD-295 US-50/MD-201/Kenilworth Ave PRINCE GEORGE'S NORTHBOUND 0.319213 110+04266 MD-295 MD-202 PRINCE GEORGE'S NORTHBOUND 0.902521 110P04266 MD-295 MD-202 PRINCE GEORGE'S NORTHBOUND 0.186731 110+04267 MD-295 MD-450 PRINCE GEORGE'S NORTHBOUND 0.09756 110P04267 MD-295 MD-450 PRINCE GEORGE'S NORTHBOUND 0.456294 110+04268 MD-295 Riverdale Rd PRINCE GEORGE'S NORTHBOUND 1.176062 110P04268 MD-295 Riverdale Rd PRINCE GEORGE'S NORTHBOUND 0.48842 110+04269 MD-295 I-495/I-95 PRINCE GEORGE'S NORTHBOUND 1.818714 110P04269 MD-295 I-495/I-95 PRINCE GEORGE'S NORTHBOUND 0.555034 110+04270 MD-295 MD-193 PRINCE GEORGE'S NORTHBOUND 0.242284 110P04270 MD-295 MD-193 PRINCE GEORGE'S NORTHBOUND 0.18555 110+04271 MD-295 Goddard Rd PRINCE GEORGE'S NORTHBOUND 0.828948 110P04271 MD-295 Goddard Rd PRINCE GEORGE'S NORTHBOUND 0.29212 110+04272 MD-295 Powder Mill Rd PRINCE GEORGE'S NORTHBOUND 1.605635 110P04272 MD-295 Powder Mill Rd PRINCE GEORGE'S NORTHBOUND 0.471518 110+04273 MD-295 MD-197/Exit 11 PRINCE GEORGE'S NORTHBOUND 1.121006 110P04273 MD-295 MD-197/Exit 11 PRINCE GEORGE'S NORTHBOUND 0.711814 110+04274 MD-295 Arundel/Prince George's Co Line (Laurel)
From page 130...
... 130 Table E.9. TMC Segment Definitions on Southbound MD-295 Corridor TMC Roadnumber Firstname County Direction Miles 110-04503 MD-295 I-895/Harbor Tunnel Trwy BALTIMORE SOUTHBOUND 1.873956 110N04503 MD-295 I-895/Harbor Tunnel Trwy BALTIMORE SOUTHBOUND 0.051638 110-04502 MD-295 I-695 ANNE ARUNDEL SOUTHBOUND 0.813164 110N04502 MD-295 I-695 ANNE ARUNDEL SOUTHBOUND 0.408819 110-04501 MD-295 Nursery Rd ANNE ARUNDEL SOUTHBOUND 0.669745 110N04501 MD-295 Nursery Rd ANNE ARUNDEL SOUTHBOUND 0.555532 110-04500 MD-295 I-195 ANNE ARUNDEL SOUTHBOUND 0.568705 110N04500 MD-295 I-195 ANNE ARUNDEL SOUTHBOUND 0.752888 110-04499 MD-295 MD-100 ANNE ARUNDEL SOUTHBOUND 2.189689 110N04499 MD-295 MD-100 ANNE ARUNDEL SOUTHBOUND 0.830688 110-04498 MD-295 MD-175 ANNE ARUNDEL SOUTHBOUND 1.666906 110N04498 MD-295 MD-175 ANNE ARUNDEL SOUTHBOUND 0.609345 110-04497 MD-295 Canine Rd ANNE ARUNDEL SOUTHBOUND 1.222791 110N04497 MD-295 Canine Rd ANNE ARUNDEL SOUTHBOUND 0.30113 110-04496 MD-295 MD-32 ANNE ARUNDEL SOUTHBOUND 0.058474 110N04496 MD-295 MD-32 ANNE ARUNDEL SOUTHBOUND 0.791104 110-04495 MD-295 MD-198 ANNE ARUNDEL SOUTHBOUND 1.138902 110N04495 MD-295 MD-198 ANNE ARUNDEL SOUTHBOUND 0.463937 110-04494 MD-295 Arundel/Prince George's Co Line (Laurel)
From page 133...
... 133 Table E.10. TMC Segment Definitions on Northbound US-29 Corridor TMC Roadnumber Firstname County Direction Miles 110+05898 US-29 Cherry Hill Rd/Randolph Rd MONTGOMERY NORTHBOUND 1.58022 110P05898 US-29 Cherry Hill Rd/Randolph Rd MONTGOMERY NORTHBOUND 0.508678 110+05899 US-29 Fairland Rd MONTGOMERY NORTHBOUND 0.539624 110P05899 US-29 Fairland Rd MONTGOMERY NORTHBOUND 0.059841 110+05900 US-29 Briggs Chaney Rd MONTGOMERY NORTHBOUND 0.453622 110P05900 US-29 Briggs Chaney Rd MONTGOMERY NORTHBOUND 0.598781 110+05901 US-29 Greencastle Rd MONTGOMERY NORTHBOUND 0.754193 110+05902 US-29 MD-198/Sandy Spring Rd MONTGOMERY NORTHBOUND 0.93123 110P05902 US-29 MD-198/Sandy Spring Rd MONTGOMERY NORTHBOUND 0.648679 110+06887 US-29 Dustin Rd MONTGOMERY NORTHBOUND 0.373896 110P06887 US-29 Dustin Rd MONTGOMERY NORTHBOUND 0.306909 110+05241 US-29 Howard/Montgomery County Line HOWARD NORTHBOUND 0.474066 110+05242 US-29 Old Columbia Rd HOWARD NORTHBOUND 0.569762 110P05242 US-29 Old Columbia Rd HOWARD NORTHBOUND 0.050209 110+05243 US-29 MD-216 HOWARD NORTHBOUND 0.778987 110P05243 US-29 MD-216 HOWARD NORTHBOUND 0.392103 110+05244 US-29 Johns Hopkins Rd/Exit 15 HOWARD NORTHBOUND 0.416027 110P05244 US-29 Johns Hopkins Rd/Exit 15 HOWARD NORTHBOUND 0.616864 110+05245 US-29 MD-32/Exit 16 HOWARD NORTHBOUND 1.020028 110P05245 US-29 MD-32/Exit 16 HOWARD NORTHBOUND 0.840444 110+05246 US-29 Brokenland Pkwy/Exit 18 HOWARD NORTHBOUND 0.839449 110P05246 US-29 Brokenland Pkwy/Exit 18 HOWARD NORTHBOUND 0.673908 110+05247 US-29 MD-175 HOWARD NORTHBOUND 1.152759 110P05247 US-29 MD-175 HOWARD NORTHBOUND 0.609531 110+05248 US-29 MD-108 HOWARD NORTHBOUND 0.480466 110P05248 US-29 MD-108 HOWARD NORTHBOUND 0.654334 110+05249 US-29 MD-100/Exit 22 HOWARD NORTHBOUND 0.450826 110P05249 US-29 MD-100/Exit 22 HOWARD NORTHBOUND 0.615745 110+05250 US-29 MD-103 HOWARD NORTHBOUND 0.045052 110P05250 US-29 MD-103 HOWARD NORTHBOUND 0.44573 110+05251 US-29 US-40 HOWARD NORTHBOUND 0.628484 110P05251 US-29 US-40 HOWARD NORTHBOUND 0.822858 110+05252 US-29 I-70 HOWARD NORTHBOUND 0.457599 110P05252 US-29 I-70 HOWARD NORTHBOUND 0.859458
From page 136...
... 136 Table E.11. TMC Segment Definitions on Southbound US-29 Corridor TMC Roadnumber Firstname County Direction Miles 110N05252 US-29 I-70 HOWARD SOUTHBOUND 0.868904 110-05251 US-29 US-40 HOWARD SOUTHBOUND 0.629913 110N05251 US-29 US-40 HOWARD SOUTHBOUND 0.59207 110-05250 US-29 MD-103 HOWARD SOUTHBOUND 0.729959 110N05250 US-29 MD-103 HOWARD SOUTHBOUND 0.529495 110-05249 US-29 MD-100/Exit 22 HOWARD SOUTHBOUND 0.027342 110N05249 US-29 MD-100/Exit 22 HOWARD SOUTHBOUND 0.651041 110-05248 US-29 MD-108 HOWARD SOUTHBOUND 0.478789 110N05248 US-29 MD-108 HOWARD SOUTHBOUND 0.563983 110-05247 US-29 MD-175 HOWARD SOUTHBOUND 0.355254 110N05247 US-29 MD-175 HOWARD SOUTHBOUND 0.764136 110-05246 US-29 Brokenland Pkwy/Exit 18 HOWARD SOUTHBOUND 1.297297 110N05246 US-29 Brokenland Pkwy/Exit 18 HOWARD SOUTHBOUND 0.462197 110-05245 US-29 MD-32/Exit 16 HOWARD SOUTHBOUND 0.866977 110N05245 US-29 MD-32/Exit 16 HOWARD SOUTHBOUND 0.905442 110-05244 US-29 Johns Hopkins Rd/Exit 15 HOWARD SOUTHBOUND 0.941483 110N05244 US-29 Johns Hopkins Rd/Exit 15 HOWARD SOUTHBOUND 0.724801 110-05243 US-29 MD-216 HOWARD SOUTHBOUND 0.76165 110N05243 US-29 MD-216 HOWARD SOUTHBOUND 0.383777 110-05242 US-29 Old Columbia Rd HOWARD SOUTHBOUND 0.250114 110N05242 US-29 Old Columbia Rd HOWARD SOUTHBOUND 0.095447 110-05241 US-29 Howard/Montgomery County Line HOWARD SOUTHBOUND 0.645697 110-06887 US-29 Dustin Rd MONTGOMERY SOUTHBOUND 0.419569 110N06887 US-29 Dustin Rd MONTGOMERY SOUTHBOUND 0.360847 110-05902 US-29 MD-198/Sandy Spring Rd MONTGOMERY SOUTHBOUND 0.422428 110N05902 US-29 MD-198/Sandy Spring Rd MONTGOMERY SOUTHBOUND 0.296843 110-05901 US-29 Greencastle Rd MONTGOMERY SOUTHBOUND 1.23379 110-05900 US-29 Briggs Chaney Rd MONTGOMERY SOUTHBOUND 0.788743 110N05900 US-29 Briggs Chaney Rd MONTGOMERY SOUTHBOUND 0.273789 110-05899 US-29 Fairland Rd MONTGOMERY SOUTHBOUND 0.705289 110N05899 US-29 Fairland Rd MONTGOMERY SOUTHBOUND 0.032313 110-05898 US-29 Cherry Hill Rd/Randolph Rd MONTGOMERY SOUTHBOUND 0.596233 110N05898 US-29 Cherry Hill Rd/Randolph Rd MONTGOMERY SOUTHBOUND 0.564728 110-05897 US-29 MD-650/New Hampshire Ave MONTGOMERY SOUTHBOUND 1.555923

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