In this study the interaction between self-excited and paramet rically excited oscillations in two-degree-of-freedom systems with quadratic nonlinearities is investigated. The fundamental parametric resonance of the first mode and 3:1 internal resonance is considered, followed by 1:2 internal and parametric resonances of the second mode. The method of multiple time scales is applied to derive f...

This investigation deals with multi server queue with balking. The customers arrive in poisson fashion and independent of time, under the assumption that system is initially empty. The number of customers in the system is stochastically increasing and distributed in steady state (stationary state) as required. The expressions for the measure of the speed of convergence from transient state to s...

Numerical solutions obtained by the Meshless Local Petrov-Galerkin (MLPG) method are presented for two dimensional steady-state heat conduction problems. The MLPG method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. The penalty method is adopted to efficiently enforce the essential boundary co...

We compare the long-term, steady-state performance of a variant of the standard Dynamic Alternative Routing (DAR) technique commonly used in telephone and ATM networks, to the performance of a path-selection algorithm based on the “balanced-allocation” principle [3, 16]; we refer to this new algorithm as the Balanced Dynamic Alternative Routing (BDAR) algorithm. While DAR checks alternative rou...

Diiracting trees are an eeective and highly scalable distributed-parallel technique for shared counting and load balancing. This paper presents the rst steady-state combinatorial model and analysis for diiracting trees, and uses it to answer several critical algorithmic design questions. Our model is simple and suuciently high level to overcome many implementation speciic details, and yet as we...

We analyze the feedback loop in Tele-Graffiti, a cameraprojector based remote sketching system which we recently developed. We derive the gain through the feedback loop and the final images that will be viewed by the users of the system. We then derive the “optimal gain” as the gain that results in the final viewed images being as close as possible to the sum of the images actually drawn on the...

Our systematic formulation of nonlinear population models is based on the notion of the environmental condition. The defining property of the environmental condition is that individuals are independent of one another (and hence equations are linear) when this condition is prescribed (in principle as an arbitrary function of time, but when focussing on steady states we shall restrict to constant...

Diiracting trees are an eeective and highly scalable distributed-parallel technique for shared counting and load balancing. This paper presents the rst steady-state combinatorial model and analysis for diiracting trees, and uses it to answer several critical algorithmic design questions. Our model is simple and suuciently high level to overcome many implementation speciic details, and yet as we...

It is generally accepted that the route to fusion power involves large devices of ITER scale or larger. However, we show, contrary to expectations, that for steady state tokamaks operating at fixed fractions of the density and beta limits, the fusion gain, Qfus, depends mainly on the absolute level of the fusion power and the energy confinement, and only weakly on the device size. Our investiga...

Unsteady two-dimensional stagnation point flow of an incompressible viscous fluid over a flat deformable sheet is studied when the flow is started impulsively from rest and the sheet is suddenly stretched in its own plane with a velocity proportional to the distance from the stagnation point. After a similarity transformation, the unsteady boundary layer equation is solved numerically using the...