Burning Cars in a Parking Lot

Parking Cars of Different Sizes

We extend the notion of parking functions to parking sequences, which include cars of different sizes, and prove a product formula for the number of such sequences. 1 The result. Parking functions were first introduced by Konheim and Weiss [5]. The original concept was that of a linear parking lot with n available spaces, and n cars with a stated parking preference. Each car would, in order, at...

From Parking Lot to Paradise.

Reversible polydisperse parking lot model.

We use an improved reversible parking lot model to study the compaction of vibrated polydisperse media. The particle sizes are distributed according to a truncated power law. We introduce a self-consistent desorption mechanism with a hierarchical initialization of the system. In this way, we approach densities close to unity. The final density depends on the polydispersity of the system as well...

Record dynamics in the parking-lot model.

We present an analytical and numerical study of the parking lot model (PLM) of granular relaxation and make a connection to the aging dynamics of dense colloids. As we argue, the PLM is a Kinetically Constrained Model which features astronomically large equilibration times and displays a characteristic aging behavior on all observable time scales. The density of parked cars displays quasi-equil...

Semi-automatic Parking System Recognizing Parking Lot Markings

This paper describes a semi-automatic parking system, which can designate target position by recognizing parking lot markings. Driver is able to designate or refine the target position by drag&drop based novel user interface. Peak pair detection and clustering in Hough space recognize marking lines. Specially, one-dimensional filter in Hough space is developed to incorporate a priori knowledge ...