In highly dynamic systems (such as wireless mobile ad-hoc networks, robotic swarms, vehicular networks, etc.) connectivity does not necessarily hold at a given time but temporal paths, or journeys, may still exist over time and space, rendering computing possible; some of these systems allow waiting (i.e., pauses at intermediate nodes, also referred to as store-carry-forward strategies) while o...

This paper investigates a discrete-time system with Markov modulated batch Bernoulli process (MMBP) inputs, general service times, and a finite capacity waiting room (queue). The FIFa and space priority service rules are considered. The main motivation for studying this type of queue is its potential applicability to time-slotted communication systems in broadband ISDN (B-ISDN). Applying the su...

Motivated by queueing systems with heterogeneous parallel servers, we consider a class of structured multidimensional Markov processes whose state space can be partitioned into two parts: a finite set of boundary states and a structured multidimensional set of states, exactly one dimension of which is infinite. Using separation of variables, we show that the equilibrium distribution, typically ...

We formulate and solve a physically-based, phase space kinetic equation for transport in the presence of trapping. Trapping is incorporated through a waiting time distribution function. From the phase-space analysis, we obtain a generalized diffusion equation in configuration space. We analyse the impact of the waiting time distribution, and give examples that lead to dispersive or nondispersiv...

A new martingale technique is developed to find formulas for the first two moments and generating function of the waiting time until one observes an element of a finite collection of patterns in a finite multi-state Markov chain.

Title: Environmental Correlates of Efficiency and Safety in Emergency Departments Funds: Academy of Architecture for Health Foundation (AAHF) Research Grant and Herman Miller Grant Period: January 2010 to October 2012 Collaborators: Herman Miller, Synurgy Healthcare Solutions Location: Four emergency departments in large US hospitals Findings: 16 domains of physical design decisions influence s...

Title: Environmental Correlates of Efficiency and Safety in Emergency Departments Funds: Academy of Architecture for Health Foundation (AAHF) Research Grant and Herman Miller Grant Period: January 2010 to October 2012 Collaborators: Herman Miller, Synurgy Healthcare Solutions Location: Four emergency departments in large US hospitals Findings: 16 domains of physical design decisions influence s...

This paper presents a finite buffer renewal input single working vacation and vacation interruption queue with state dependent services and state dependent vacations, which has a wide range of applications in several areas including manufacturing, wireless communication systems. Service times during busy period, vacation period and vacation times are exponentially distributed and are state depe...