We consider a feedback finite fluid queue with downward jumps, where the net flow rate and the jump size for the fluid are controlled by a background Markov chain with a finite state space. The finite means that the fluid queue has a finite buffer. The feedback means that the transition structure of the background process may change when the buffer content becomes empty or full. In this paper, ...

We consider a status update system consisting of two independent sources and one server in which packets each source are generated according to the Poisson process served an exponentially distributed service time. derive moment generating function (MGF) age information (AoI) for by using stochastic hybrid systems (SHS) under existing source-aware packet management policies we term self-preempti...

planar d-bar integral equation is one of the inverse scattering solution methods for complex problems including inverse conductivity considered in applications such as electrical impedance tomography (eit). recently two different methodologies are considered for the numerical solution of d-bar integrals equation, namely product integrals and multigrid. the first one involves high computational ...

A congestion avoidance scheme allows a network to operate in the region of low delay and high throughput. Such scheme prevent a network from entering in to congested state. RED(Random Early Detection), is one such congestion avoidance mechanism used for effectively control of congestion. In RED, router uses only the average queue size, as a congestion indicator and the average queue length is i...

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...

Waiting in long queue is undesirable due to which in some practical situations customers become impatient and leave the system. In such cases providing additional servers can reduce long queue. This investigation deals with multi-server queueing system with additional servers and discouragement. The customers arrive in poisson fashion and are served exponentially by a pool of permanent and addi...

Modern computer systems are based on a wide variety of software servers, such as web servers, application servers, database servers, and mail servers. The typical software architecture of such servers includes a set of processes or threads that serve requests submitted to the server. Requests that arrive at the server and find all threads busy, are placed in a queue. Threads that are busy execu...

In this work, we calculate the limit distribution of the total cost incurred by splitting a tree selected at random from the set of all finite free trees. This total cost is considered to be an additive functional induced by a toll equal to the square of the size of tree. The main tools used are the recent results connecting the asymptotics of generating functions with the asymptotics of...