A deterministic herd model was developed for projecting the dynamic changes in reindeer herd size and structure under defined harvest policies. The model distinguishes between females, males and ...castrates up to an optional number of age-classes. Calves are further classified based on the age and status (present/absent) of their mother. The yearly cycle is divided up into a maximum of 11 time steps, including five grazing seasons. The model is described in general terms using the Leslie matrix approach in order to suit different computer implementations. The conventional Leslie matrix solution was extended so that nonlinear features and stochastic variation in performance parameters could be considered. Computational procedures for making detailed economic evaluations of harvest output and herd feed requirements or consumption are given. This general purpose model can be tailored to specific study conditions. An advantage of this is that the sensitivity to necessary approximations can be tested with the general purpose model. The model is intended for use in both research and extension work.
This effort developed methodology for determining the most efficient and cost-effective pumping schemes for cleaning up contaminated aquifers. The methodology, formulated by a panel of experts, will ...enable engineers to systematically determine (1) the optimum number of extraction and injection wells; (2) the optimum location for the wells; and (3) their optimum pumping rates. The optimum pumping schemes developed from the methodology will reduce the time and cost of cleaning up contaminated aquifers. Numerical modeling and optimization/simulation work used site data from AF Plant 4, Carswell AFB, Texas. Groundwater, Aquifer, Pumping, Contamination, Remediation, Optimization.
This paper is concerned with diagonal decoupling of a linear time-invariant system with m-inputs and γ-outputs (m≥γ) by constant gain feedforward and state feedback compensation using a polynomial ...matrix approach. First by applying the ideas of exact model matching a relation which must be satisfied between the system, the compensators and the desired decoupled system is derived. Then a sufficient condition is given and pole placement of the decoupled system is considered in connection with this condition. It is found that the closed loop poles can be grouped into three classes; two kinds of arbitrarily assignable poles and constrained poles. In order to clarify the usefulness of obtained results, decoupling methods which have been presented before are also investigated from the standpoint of this paper. Finally an illustrative numerical example is provided.
A classification system for librarians at the University of Western Ontario has four general and five ranking factors in position classification. A matrix was developed using these factors on a ...vertical axis and the desired number of positions on a horizontal axis. Existing professional positions were analyzed in terms of the matrix. (Author/LS)
The problem of inverting the calculation of cross sections to one of determining interaction potentials from cross sections is dealt with using the reaction matrix approach. The experimentally ...obtained resonance parameters are utilized to calculate constants which are coefficients of expansion of the potential in terms of known functions.
Traditional matrix-based approaches in the field of finite state machines construct state transition matrices, and then use the powers of the state transition matrices to represent corresponding ...dynamic transition processes, which are cornerstones of system analysis. In this study, we propose a static matrix-based approach that revisits a finite state machine from its structure rather than its dynamic transition process, thus avoiding the “explosion of complexity” problem inherent in the existing approaches. Based on the static approach, we reexamine the issues of closed-loop detection and controllability for deterministic finite state machines. In addition, we propose controllable equivalent form and minimal controllable equivalent form concepts and give corresponding algorithms.
In this article, we propose a numerical method that is completely based on the operational matrices of fractional integral and derivative operators of fractional Legendre function vectors (FLFVs). ...The proposed method is independent of the choice of the suitable collocation points and expansion of the residual function as a series of orthogonal polynomials as required for Spectral collocation and Spectral tau methods. Consequently, the high efficient numerical results are obtained as compared to the other methods in the literature. The other novel aspect of our article is the development of the new integral and derivative operational matrices in Riemann-Liouville and Caputo senses respectively. The proposed method is computer-oriented and has the ability to reduce the fractional differential equations (FDEs) into a system of Sylvester types matrix equations that can be solved using MATLAB builtin function lyap(.). As an application of the proposed method, we solve multi-order FDEs with initial conditions. The numerical results obtained otherwise in the literature are also improved in our work.
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