For a particular route, average the number of routes it is overlapped with throughout its entire length. State borders do NOT matter.
Simple example: I-393 is entirely overlapped with US 202 [1.00] and almost entirely overlapped with US 4 [.95], so its overlap average is 1.95.
More complex example: ME 100 (140 miles):
US 302 [.02]
ME 26 [.09]
US 202/ME 4 [2*.12]
US 202/ME 11 [2*.22]
US 202/US 201 [2*.01]
US 201 [.14]
ME 11 [.19]
US 2/ME 7 [2*.02]
US 2 [.16]
Overlap average of 1.34 (may not be quite exact).
Here are my two questions:
1. What route has the highest overlap average?
2. What is the longest route with an overlap average of at least 1?
Even if it doesn't fit either of these questions, you can still post the numbers you have found for any route. You can go outside the United States.
Want list: US 1, I-25, US 202, I-465
This is actually a reasonable concept, not pure trivia.
It'll be easier to calculate this way: add the mileage of each overlap and divide by the total mileage. So for US 23 (FL) (http://en.wikipedia.org/wiki/U.S._Route_23_in_Florida#Major_intersections), not counting unsigned 'inventory' state roads:
*US 17 0.84
*SR 228 0.84
*US 1 37.656-3.820=33.836
*US 301 (using US 1 mileage) 545.03-527.14=17.89
total 53.406
length 37.656
average 1.42 (if you count unsigned state roads it's 2.42)
I-465 is 52.79 miles long.
Its overlaps with:
I-74: 32.67 miles
US-31: 24.72
US-36: 24.65
US-40: 19.29
US-52: 22.36
US-421: 21.91
IN-37: 20.59
IN-67: 20.25
That averages out to be a whopping 3.53. Interestingly enough, there's a good nine miles on the northwest side that isn't overlapped with anything.
Is overlap different from multiplex at all?
Quote from: GCrites80s on February 11, 2015, 11:20:39 PM
Is overlap different from multiplex at all?
Not when dealing with highways.
I-76 (Eastern) - 434.87 mi total
- US 224 - 18.62 miles
- I-77 - 3.12 miles
- I-80 - 0.25 miles?
- I-70 - 85.9 miles
- US 1 - 0.72 miles
- US 30 - 0.31 miles
Total overlap = 108.92 miles
Overlap factor =
0.25US Route 22 - 647.45 miles
- US 27 - 0.17 miles
- US 52 - 0.17 miles
- US 127 - 0.17 miles
- US 42 - 0.33 miles
- Ohio 3 - 70.38 miles
- Ohio 561 - 0.10 miles
- Ohio 126 - 0.27 miles
- Ohio 123 - 1.73 miles
- Ohio 73 - 3.43 miles
- US 62 - 0.63 miles
- Ohio 56 - 2.2 miles
- Ohio 188 - 1.6 miles
- Ohio 37 - 3.6 miles
- Ohio 93 - 9.2 miles
- Ohio 60 - 0.3 miles
- Ohio 146 - 0.3 miles
- US 40 - 23.8 miles
- Ohio 209 - 0.3 miles
- Ohio 800 - 0.6 miles
- US 250 - 1.0 miles
- Ohio 151 - 1.2 miles
- Ohio 7 - 0.9 miles
- WV 2 - 0.2 miles
- US 30 - 21.7 miles
- I-376 - 24.3 miles
- US 19 - 0.4 miles
- US 19 Truck - 1.5 miles
- US 119 - 12.5 miles
- US 220 Bus - 1.3 miles
- PA 655 - 1.4 miles
- US 522 - 23.3 miles
- US 322 - 54.5 miles
- PA 343 - 0.8 miles
- I-78 (PA)- 42.99 miles
- I-78 (NJ)- 14.56 miles
- NJ 173 - 1.05 miles
- CR 523 - 0.19 miles
Total overlap - 323.07 miles
Overlap Factor =
0.50
Massachusetts, Interstates and US Routes -
Interstates 84, 90, 190, 290, 295, 395, 495 (0)
Interstate 91 (.056)
54.90 total miles
US 5 - .306
MA 2 - 2.741
Interstate 291 (0.649)
5.52 total miles
US 20 - 3.583
Interstate 391 (0.142)
5.160 total miles
MA 141 - 0.733
* As an aside, many things show 141 never joins I-391, anyone know for sure on this?
Interstate 93 (1.165)
46.25 total miles
US 1 - 18.603
MA 1A (unsigned) - 17.874
MA 3 - 11.090
MA 3A (unsigned) - 6.317
Interstate 95 (0.464)
90.82 total miles
US 1 - 2.576
US 3 - 1.688
MA 128 - 37.885
Interstate 195 (0.021)
39.33 miles
MA 24 - 0.840
US 1 (0.72)
86.2 total miles
I-93 - 18.603
I-95 - 2.576
MA 1A - 22.45
MA 3 - 11.090
MA 3A (unsigned) - 6.317
MA 129 - 1.0
US 3 (0.73)
35.70 total miles
I-95 - 1.688
MA 2 - 4.4
MA 2A - 1.7
MA 3A - 16.3
MA 16 - 1.8
MA 60 - 0.1
US 5 (0.51)
53.46 total miles
I-91 - 0.306
MA 10 - 26.10
MA 116 - 0.90
US 6 (0.2)
118.0 total miles
MA 6A (Unsigned) - 18.4
MA 28 - 4.7
MA 138 - 0.3
US 7 (0.27)
53.90 total miles
US 20 - 7.405
MA 2 - 2.4
MA 9 - 0.4
MA 23 - 1.5
MA 41 - 1.0
MA 102 - 0.3
MA 183 - 1.4
US 20 (0.123)
153.44 total miles
I-291 - 3.583
US 202 - 0.252
US 7 - 7.405
MA 8 - 5.176
MA 10 - 0.252
MA 12 - 1.211
MA 32 - 0.981
US 44 (0.03)
38.3 total miles
MA 3 - 1.2
MA 140 - 0.1
US 202 (0.37)
79.6 total miles
US 5 - 1.2
US 20 - 0.252
MA 2 - 8.3
MA 2A - 1.3
MA 10 - 14.5
MA 12 - 0.2
MA 21 - 1.0
MA 57 - 0.6
MA 68 - 1.4
MA 122 - 0.9
Feel free to check my math and the 391 thing. The math geek in me loved this.
Quote from: Cjzani on February 12, 2015, 12:58:50 PM
Massachusetts, Interstates and US Routes -
Interstates 84, 90, 190, 290, 295, 391, 395, 495 (0)
...
Interstate 391 (0.142)
5.160 total miles
MA 141 - 0.733[/s
* As an aside, many things show 141 never joins I-391, anyone know for sure on this?
FTFYI-391 and MA 141
do not overlap (http://goo.gl/maps/ESZPJ), Google Maps is incorrect.
OTOH there is an I-495/MA 140 overlap in Mansfield even though 141 utilized the C/D roads between Exits 11 & 12 (0.038 miles per Wiki).
Quote from: Cjzani on February 12, 2015, 12:58:50 PM
Interstate 95 (0.464)
90.82 total miles
US 1 - 2.576
US 3 - 1.688
MA 128 - 37.885
The first 128 mile marker (http://goo.gl/maps/zn6DF) north of the I-95 split is Mile 37.2.
Quote from: 1 on February 10, 2015, 04:51:49 PM
Simple example: I-393 is entirely overlapped with US 202 [1.00] and almost entirely overlapped with US 4 [.95], so its overlap average is 1.95.
I believe I-393 doesn't actually extend west from I-93, so its overlap average would be an even 2.0.
QuoteMore complex example: ME 100 (140 miles):
US 302 [.02]
ME 26 [.09]
US 202/ME 4 [2*.12]
US 202/ME 11 [2*.22]
US 202/US 201 [2*.01]
US 201 [.14]
ME 11 [.19]
US 2/ME 7 [2*.02]
US 2 [.16]
Overlap average of 1.34 (may not be quite exact).
Using wibbly-wobbly mileage from the Clinched Highway Mapping project:
More complex example:
ME 100 (139.92 miles):
US302 2.27 mi
ME9 0.09 mi
ME26 13.29 mi
US202/ME4/26 3*0.04=0.12 mi
US202/ME4 2*15.31=30.62 mi
US202/ME4/11 3*0.68=2.04 mi
US202/ME11 2*26.55=53.1 mi
ME135 0.13 mi
US202/ME11/17 3*4.31=12.93 mi
US201/202/ME17 3*0.69=2.07 mi
US201/202/ME9 3*0.59=1.77 mi
US201 18.11 mi
ME137Bus 0.87 mi
US201/ME11 2*3.11=6.22 mi
ME11/139 2*2.24=4.48 mi
ME11 23.93 mi
US2/ME7 2*3.44=6.88 mi
US2 24.14 mi
203.06 total overlap miles / 139.92 = 1.45
ME16: 91.83 PlexMiles / 186.3 total = 0.492
ME4 6.3 mi
ME27 22.6 mi
US201A/8 2*6.73=13.46 mi
US201 0.62 mi
ME15 11.66 mi
ME150 0.38 mi
ME6 34.55 mi
ME11 2.26 mi
ME9: 141.78 PlexMiles / 286.7 total = 0.495
ME4 0.46 mi
ME109 2.16 mi
US1 1.88 mi
ME208 5.42 mi
ME111 0.12 mi
US1 5.73 mi
ME22 1.57 mi
US302/ME100 2*0.09=0.18 mi
ME115 0.26 mi
ME136 0.38 mi
ME125 0.29 mi
ME196 0.82 mi
ME126 20.05 mi
US201 0.29 mi
ME27 0.22 mi
ME17 0.49 mi
US201/202/ME100 3*0.58=1.74 mi
US202 59.94 mi
ME3 10.72 mi
ME32 1.27 mi
ME137 7.32 mi
ME139 0.18 mi
ME220 2.99 mi
US1A 5.5 mi
US202 0.85 mi
ME15Bus 0.19 mi
ME178 3.96 mi
US1 6.8 mi
ME5: 60.91 PlexMiles / 115.86 total = 0.526
US1 0.91 mi
ME112 0.38 mi
US202/ME4 2*1.82=3.64 mi
ME11 0.14 mi
ME25 0.67 mi
ME117 6.06 mi
ME113 17.94 mi
US302 0.47 mi
ME35 12.62 mi
US2 12.33 mi
ME26 5.75 mi
ME3: 71.51 PlexMiles / 119.18 total = 0.600
US202/ME9 2*10.71=21.42 mi
ME32 1.27 mi
ME131 0.08 mi
US1 38.8 mi
ME15 4.41 mi
ME198 5.53 mi
ME11: 226.43 PlexMiles / 286.7 total = 0.790
US202 12.38 mi
ME109 6.14 mi
ME5 0.14 mi
ME113 1.46 mi
ME107 1.79 mi
ME114 9.19 mi
US302 0.47 mi
US302/35 2*0.91=1.82 mi
ME121 8.77 mi
US202/ME4/100 3*0.69=2.07 mi
US202/ME100 2*26.54=53.08 mi
ME135 0.13 mi
US202/ME17/100 3*7.55=22.65 mi
ME8/27 2*11.77=23.54 mi
ME8 3.11 mi
ME137 3.69 mi
ME104 1.34 mi
ME137Bus 0.73 mi
US201/ME100 2*3.11=6.22 mi
ME100/139 2*2.24=4.48 mi
ME100 23.93 mi
ME7 6.16 mi
ME43 15.82 mi
ME15 1.88 mi
ME6/16 2*2.27=4.54 mi
ME157 10.46 mi
ME159 0.44 mi
ME4: 132.91 PlexMiles / 167.1 total = 0.795
ME236 0.2 mi
ME9 0.47 mi
US202 36.34 mi
ME5 1.82 mi
ME117 1.73 mi
ME25 0.67 mi
US202/ME115 2*15.79=31.58 mi
US202/ME26A/115 3*0.45=1.35 mi
US202/ME26/100 3*0.05=0.15 mi
US202/ME100 2*15.3=30.6 mi
US202/ME11/100 3*0.69=2.07 mi
ME108 1 mi
ME17 5.74 mi
US2 7.75 mi
ME43 0.8 mi
ME27 3.03 mi
ME142 1.31 mi
ME16 6.3 mi
ME6: 169.78 PlexMiles / 205.31 total = 0.827
US201 16.3 mi
ME15 80.82 mi
ME16 34.55 mi
ME150 0.38 mi
ME11 2.26 mi
ME155 12.42 mi
ME116 10.97 mi
US2 12.08 mi
ME8: 59.02 PlexMiles / 51.56 total = 1.145
ME11/27 2*11.77=23.54 mi
ME11 3.11 mi
ME137 3.21 mi
US2/201A 2*0.4=0.8 mi
US201A 20.67 mi
ME43/148 2*0.48=0.96 mi
ME16 6.73 mi
US201A: 34.25 PlexMiles / 26.16 total = 1.309
US2 5.49 mi
ME8 21.07 mi
ME43/148 2*0.48=0.96 mi
ME16 6.73 mi
ME US202: 263.02 PlexMiles / 170.39 total = 1.544
ME11 12.38 mi
ME4A 3.83 mi
ME4 36.34 mi
ME5 1.83 mi
ME117 1.74 mi
ME25 0.67 mi
ME4/115 2*3.37=6.74 mi
ME4/26A/115 3*0.45=1.35 mi
ME4/26/100 3*0.05=0.15 mi
ME4/100 2*15.31=30.62 mi
ME4/11/100 3*0.68=2.04 mi
ME11/100 2*26.54=53.08 mi
ME135 0.12 mi
ME11/17/100 3*7.55=22.65 mi
US201/ME17/100 3*0.7=2.1 mi
US201/ME9/100 3*0.59=1.77 mi
ME9 59.94 mi
ME3 10.72 mi
ME32 1.27 mi
ME137 7.33 mi
ME139 0.19 mi
ME220 2.98 mi
I-395/ME15 2*0.73=1.46 mi
US1A/ME9 2*0.86=1.72 mi
ME US202: 263.02 PlexMiles / 170.39 total = 1.544
(See my last post)
NH US202: 87.07 PlexMiles / 93.99 total = 0.926
NH124 0.08 mi
NH101 0.2 mi
NH123 5.6 mi
NH31 2.33 mi
NH9 22.79 mi
US3 0.77 mi
I-393/US4 2*4.46=8.92 mi
US4/NH9 2*16.76=33.52 mi
NH9 4.78 mi
NH107 1.94 mi
NH126 0.2 mi
NH16 2.4 mi
NH11 3.54 mi
MA US202: 28.76 PlexMiles / 78.29 total = 0.367
MA10 14.21 mi
MA57 0.61 mi
US20 0.27 mi
US5* 1.15 mi
MA21 1.02 mi
MA122 0.94 mi
MA2 8.3 mi
MA2A 0.73 mi
MA68 1.32 mi
MA12 0.21 mi
*only southbound US202 overlaps US5. But it's counted here, because CHM. Yeah.
CT US202: 41.64 PlexMiles / 74.08 total = 0.562
US6 3.51 mi
I-84/US6/7 3*3.9=11.7 mi
US7 1.09 mi
US7 5.4 mi
CT67 0.5 mi
CT63 0.04 mi
CT4 0.13 mi
US44 5.27 mi
CT10 13.91 mi
CT189 0.09 mi
NY US202: 38.85 PlexMiles / 53.78 total = 0.722
NY59 0.06 mi
US9W 10.14 mi
US6 4.78 mi
US9 0.74 mi
NY35 9.92 mi
NY118 4.3 mi
NY22 4.99 mi
US6 3.92 mi
NJ US202:
Counting 5xx series routes: 19.13 PlexMiles / 79.76 total = 0.240
Not counting 5xx series routes: 15.68 PlexMiles / 79.76 total = 0.197
NJ31 5.81 mi
US206 7.16 mi
CR512 0.27 mi
CR525 0.13 mi
CR511 3.05 mi
NJ23 2.71 mi
PA US202: 9.65 PlexMiles / 58.84 total = 0.164
US322 7.84 mi
PA263 1.81 mi
DE US202: 7.39 PlexMiles / 12.57 total = 0.588
DE141 1.66 mi
I-95 5.73 mi
US202 nationally:
Counting NJ 5xx series routes: 495.51 PlexMiles / 621.7 total = 0.797
Not counting NJ 5xx series routes: 492.06 PlexMiles / 621.7 total = 0.791