Abstract
The linear space filling or “parking” problem is extended to allow sequential parking of cars of random length along a curb and to invoke parking rules that utilize a termination probability for rejecting curb spaces shorter than some cars. The latter innovation permits interpretation of termination as being analogous to blocking of interstices in the multi-dimensional particle packing problem. Parking densities are determined by numerical solution of integral equations as functions of the parameters of the car length distribution function. Some verification of a conjecture made by Lewis and Goldman, that the density of packed particulate materials is an increasing function of coefficient of variation, is provided in the one dimensional case for specified families of three
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.