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Project h. e.r.o. 265 pheniX Abstracted flow model We created the flow model in Figure Al to represent what we perceived as 9 routes from the coast of South Carolina to the interior of the state. Rectangles represent locations and ovals represent junctions. The arrows represent flow direction The flow assigned to various segments can be found in Table a1 Table al Flow rates by route and county Populati F rs/ mi Allendale lc Beaufort Colleton Charleston 446 3 17.6 155 Dorchester 158 214 Georgetown williamsburg Florence 344414 3 Marion 34 5.9 Merge Considerations We do not want congestion at merges, so we maintain a constant traffic density in a"merge zone. "Let A and b be the pre-merge flows and C be the post-merge outflow. Then we must have C=A+ B to avoid congestion.Project H.E.R.O. 265 Appendix Abstracted Flow Model We created the flow model in Figure A1 to represent what we perceived as 9 routes from the coast of South Carolina to the interior of the state. Rectangles represent locations and ovals represent junctions. The arrows represent flow direction. The flow assigned to various segments can be found in Table A1. Table A1. Flow rates by route and county. County Population Junction Flow (thousands) (cars/min) Jasper 17 1a 5.9 Hampton 19 1b 6.6 Allendale 11 1c 3.8 Beaufort 113 1a 17.1 2a 22 Colleton 38 2a 4.4 2b 4.4 3 4.4 Charleston 320 2b 2.6 3 29 4 17.6 26 51 5 5.5 6a 5.5 Dorchester 91 4 15.8 26 15.8 Berkeley 142 5 27.4 6a 21.4 Georgetown 55 6a 3 6b 16.1 Williamsburg 37 6a 3.5 6b 9.3 Florence 125 6b 4 7b 4 Horry 179 6b 4 7 51 8 33.4 Marion 34 7b 5.9 7a 5.9 Merge Considerations We do not want congestion at merges, so we maintain a constant traffic density in a ìmerge zone.î Let A and B be the pre-merge flows and C be the post-merge outflow. Then we must have C = A + B to avoid congestion
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