Electrons held in a queue

A Finite Capacity Priority Queue with Discouragement

In this paper we report on a study of a two level preemptive priority queue with balking and reneging for lower priority level. The inter-arrival and the service times for both levels follow exponential distribution. We use a finite difference equation approach for solving the balance equations of the governing queuing model whose states are described by functions of one independent variable. H...

Congestion Pricing: A Parking Queue Model

Drivers in urban neighborhoods who patrol streets, seeking inexpensive on-street parking create a significant fraction of measured traffic congestion. The pool of drivers patrolling at any time can be modeled as a queue, where ‘queue service’ is the act of parking in a recently vacated parking space and queue discipline is SIRO – Service In Random Order. We develop a queueing model of such driv...

Queue, queue, queue for care.

Electrons in a Shell

The spatial distribution of electrons inside an empty spherical shell with an impenetrable wall is considered. It is shown that with a large number N of non-relativistic electrons, the electrons are concentrated near the wall in a layer of thickness 5 / 3 5 / 2 5 / 1 ~ B a a N ⋅ ⋅ δ − , where a is the radius of the shell, and aB is the Bohr radius. In this brief note, we consider the spatial di...

A Finite Buffer Fluid Queue Driven by a Markovian Queue

We consider a finite buffer fluid queue receiving its input from the output of a Markovian queue with finite or infinite waiting room. The input flow into the fluid queue is thus characterized by a Markov modulated input rate process and we derive, for a wide class of such input processes, a procedure for the computation of the stationary buffer content of the fluid queue and the stationary ove...