CAE419_Midterm_exam 2_Fall-2015-Formula sheet.doc

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CAE419 Exam 2 Formula Sheet Flow rate: Time mean speed: Space mean speed: Relationship of flow-density-speed: q = k.u s Greenshields model : Poisson Model Poisson distribution: P(n ≥ k) = 1- P(n < k) M P(n ≥ k) for M-periods = П P(n ≥ k) i=1 Freeway Capacity Analysis Free flow speed: FFS = BFFS – F LW – F LC – F N - F ID (mph) Flow rate: Peak hour factor: (LW- Lane width; LC-Lateral clearance; N- No. of lanes; and ID- Interchange density) 1 E P 1 E P 1 1 f 4 V V PHF i LOS for c v c v or f f N PHF V v R R T T HV 15 i j p p HV p P(n) is probability of having n vehicles arrive in time t, λ is arrival rate (veh/unit time) . | n e t n P t n If k = 0, u s = u f ; free flow speed If u s = 0, k = k j , jam density u s,m = u f /2, k m = k j /2, q max = u s,m . k m = u f k j /4 j f s j f s k k k u k u q k k u u 2 1
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  • Spring '14
  • ZongzhiLi

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