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airportTerminalExample_Excel

# airportTerminalExample_Excel - D dL/dt=lambda(t)mu(t...

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Airport Terminal Passenger Flow Problem Sample problem to demonstrate the solution to a first order differential equatio Differential equation in finite difference form dL/dt = lambda(t) - mu(t) Define lambda and mu where lambda(t) = demand function as a function of time lambda(t)  1500 if t< 1 mu(t) = service function (or supply) as a function of time 500 if t>= 1 L (t) = queue length as a function of time mu(t) 1000 if t<2 1500 if t>=2 Time  L (t) lambda(t) mu(t) lambda(t) - mu(t) (hours) Passengers Passengers/hr Passengers/hr Passengers/hr Hours Passengers 0.00 0 1500 1000 500 0.05 25 0.05 25 1500 1000 500 0.05 25 0.10 50 1500 1000 500 0.05 25 0.15 75 1500 1000 500 0.05 25 0.20 100 1500 1000 500 0.05 25 0.25 125 1500 1000 500 0.05 25 0.30 150 1500 1000 500 0.05 25 0.35 175 1500 1000 500 0.05 25 0.40 200 1500 1000 500 0.05 25 0.45 225 1500 1000 500 0.05 25 0.50 250 1500 1000 500 0.05 25 0.55 275 1500 1000 500 0.05 25 0.60 300 1500 1000 500 0.05 25 0.65 325 1500 1000 500 0.05 25 0.70 350 1500 1000 500 0.05 25 0.75 375 1500 1000 500 0.05 25 0.80 400 1500 1000 500 0.05 25 0.85 425 1500 1000 500 0.05 25 0.90 450 1500 1000 500 0.05 25 0.95 475 1500 1000 500 0.05 25 1.00 500 500 1000 -500 0.05 -25 1.05 475 500 1000 -500 0.05 -25 1.10 450 500 1000 -500 0.05 -25 1.15 425 500 1000 -500 0.05 -25 1.20 400 500 1000 -500 0.05 -25 1.25 375 500 1000 -500 0.05 -25 1.30 350 500 1000 -500 0.05 -25 1.35 325 500 1000 -500 0.05 -25 1.40

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• Fall '08
• KATZ
• Self number, lambda, Airport terminal, 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60 1.65 1.70 1.75 1.80 1.85 1.90 1.95 2.00 L

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