Deterministic dynamic models for coupled resident and invader populations are considered with the purpose of finding quantities that are effective at predicting when the invasive population will become established asymptotically. A key feature of the models considered is the stage-structure, meaning that the populations are described by vectors of discrete developmental stage- or age-classes. T...

New method for the calibration of three-dimensional atom-probe mass spectra Energy distribution and spatial structure of electrosprays of ionic liquids in vacuo Recent results with Au ions from a multiampere electron beam ion source at Brookhaven National Laboratory (invited abstract) Time-of-flight secondary ion mass spectroscopy for surface analysis of insulators using a cluster ion beam Quan...

This paper presents an Interval Decision Diagram (IDD) based approach to realize symbolically transient analysis of Continuous Time Markov Chains (CTMC) which are derived from stochastic Petri nets. Matrix-vector and vector-matrix multiplication are the major tasks when doing exact analysis of CTMCs. We sketch a simple algorithm which uses explicitly the Petri net structure and offers the oppor...

In this paper, we present a transient analysis of the system contents in a two-class priority queue with single-slot service times. In particular, we derive an expression for the generating function of the transient system contents of both classes. Performance measures are calculated from this generating function. Finally, by means of a numerical example we investigate the impact of the traffic...

A long queue of vehicles at the gate of a marine terminal is a common traffic phenomenon in a port-city, which sometimes causes problems in urban traffic. In order to be able to solve this issue, we firstly need accurate models to estimate such a vehicle queue length. In this paper, we compare the existing methods in a case study, and evaluate their advantages and disadvantages. Particularly, w...

We offer an almost self-contained development of Perron–Frobenius type results for the numerical range of an (irreducible) nonnegative matrix, rederiving and completing the previous work of Issos, Nylen and Tam, and Tam and Yang on this topic. We solve the open problem of characterizing nonnegative matrices whose numerical ranges are regular convex polygons with center at the origin. Some relat...

The sensitivity analysis of complex industrial systems aims at identifying, in a multi-unit structure, which components contribute the most to a variation of the performance criterion. In this paper an importance factor, called multi-directional sensitivity measure, defined as the derivative of the performance in the direction of one parameter, in the direction of a group of parameters (failure...

Suppose m and n are integers such that 1 ≤ m ≤ n. For a subgroup H of the symmetric group Sm of degree m, consider the generalized matrix function on m×m matrices B = (bij) defined by d(B) = ∑ σ∈H ∏m j=1 bjσ(j) and the generalized numerical range of an n×n complex matrix A associated with d defined by W(A) = {dH(X∗AX) : X is n×m such that X∗X = Im}. It is known that W(A) is convex if m = 1 or i...

Location management schemes presented in the personal communication network standards (e.g., EIA/TIA Interim Standard 41 (IS-41)) are not eecient. We propose forwarding techniques that augment the IS-41 scheme to provide eecient location management. We develop analytical models to compare the performance of the proposed approach with the IS-41 scheme. Analysis shows that forwarding signiicantly...

Suppose m and n are integers such that 1 m n, and H is a subgroup of the symmetric group S m of degree m. Deene the generalized matrix function associated with the principal character of the group H on an m m matrix B = (b ij) by d H (B) = X 2H m Y j=1 b j(j) ; and deene the generalized numerical range of an n n matrix A associated with d H by It is known that W H (A) is convex if m = 1 or if m...