We investigate oscillatory properties of the second order half-linear dynamic equation on a time scale with mixed derivatives (r(t)Φ(x∆))∇ + c(t)Φ(x) = 0, Φ(x) = |x|p−2x, p > 1. In particular, we establish the Roundabout theorem which relates oscillatory properties of this equation to the solvability of the associated Riccati-type dynamic equation and to the positivity of the corresponding ener...

1 VISSIM roundabout models have been widely applied in practice to facilitate analyzing the 2 operational performance of roundabouts. To prepare a VISSIM roundabout model for analysis, 3 an essential prerequisite is to calibrate the model by adjusting parameters until real-world 4 roundabout operations are reproduced in the simulation model. Previous calibration research has 5 used qualitative ...

In this paper, the lane-changing time is considered in the cellular automata models for traffic flow. The lower the velocity of a vehicle, the longer the lane-changing time. The simulations are carried out in the two-lane system and the on-ramp system. When the lane-changing time is taken into account, the maximum flux per lane is reduced in the twolane system compared with the original two-lan...

A two-lane extension of a recently proposed cellular automaton model for traffic flow is discussed. The analysis focuses on the reproduction of the lane usage inversion and the density dependence of the number of lane changes. It is shown that the single-lane dynamics can be extended to the two-lane case without changing the basic properties of the model which are known to be in good agreement ...

Suppose a right triangle has edges A,B,C with corresponding lengths a, b, c. Suppose C is the hypotenuse. Let θ be the angle of the triangle formed by the edges A and C. From the definitions of trigonometric functions that we used in high school, cos θ = a/c and sin θ = b/c. Also, from an identity that we learned in high school, (cos θ) + (sin θ) = 1, so (a/c) + (b/c) = 1, i.e. a + b = c. Howev...

Abstract The high mobility of the population in Jakarta encourages creation mass transportation modes that can carry a large number passengers at one time. One them is construction LRT uses an elevated track. Due to limited land, pillar track was built ROW existing road. case Kelapa Gading median Boulevard Raya Road. This tract produces elongated space under rail line has potential construct gr...