Pendekatan Pemecahan Masalah Matematika pada Materi Matriks

The purpose of this research is to describe a mathematical problem-solving approach to the matrix material. This type of research is qualitative research using library research methods. Data collection techniques by identifying from books, articles, journals, papers, and various information related to mathematical problem-solving approaches to the matrix material. The results showed: (1) the students' way of understanding the problem of types of matrices, calculation operations on matrices, determinants, and inverses; (2) the way students make plans for solving problems with the types of matrices, calculation operations on matrices, determinants, and inverses; (3) the way students carry out the problem-solving plan types of matrices, count operations on the matrix, determinants, and inverses; and (4) how to recheck the results from solving the matrix types, count operations on the matrix, determinants, and inverse

Power Utility Maximization in Discrete-Time and Continuous-Time Exponential Levy Models

Consider power utility maximization of terminal wealth in a 1-dimensional continuous-time exponential Levy model with finite time horizon. We discretize the model by restricting portfolio adjustments to an equidistant discrete time grid. Under minimal assumptions we prove convergence of the optimal discrete-time strategies to the continuous-time counterpart. In addition, we provide and compare qualitative properties of the discrete-time and continuous-time optimizers.Comment: 18 pages, to appear in Mathematical Methods of Operations Research. The final publication is available at springerlink.co

Simulation of a weather radar display for over-water airborne radar approaches

Airborne radar approach (ARA) concepts are being investigated as a part of NASA's Rotorcraft All-Weather Operations Research Program on advanced guidance and navigation methods. This research is being conducted using both piloted simulations and flight test evaluations. For the piloted simulations, a mathematical model of the airborne radar was developed for over-water ARAs to offshore platforms. This simulated flight scenario requires radar simulation of point targets, such as oil rigs and ships, distributed sea clutter, and transponder beacon replies. Radar theory, weather radar characteristics, and empirical data derived from in-flight radar photographs are combined to model a civil weather/mapping radar typical of those used in offshore rotorcraft operations. The resulting radar simulation is realistic and provides the needed simulation capability for ongoing ARA research

Moeilijk doen als het ook makkelijk kan

One of the main points of criticism on academic research in operations research (management science ) is that there is too much emphasis on the mathematical aspects of the discipline. In particular, the mathematical models that lend themselves to rigorous mathematical analysis are often rough simplifications of the actual decision problems that need to be solved in practice. Moreover, advanced mathematical solution methods may lead to overkill, since sometimes acceptable solutions may already be found by relatively simple ad hoc methods. In this address, we argue that although these observations may be true, this does not necessarily mean that mathematically oriented research is not useful in solving practical decision problems. We believe that the criticism ignores both the role of academic research within the discipline as well as the fact that certain recent successful applications of operations research owe much to mathematically oriented research. We illustrate the usefulness of this type of research by discussing research projects in container logistics and public transport scheduling.Rede, in verkorte vorm uitgesproken op vrijdag 20 september 2002 bij de aanvaarding van het ambt van bijzonder hoogleraar aan de Faculteit der Economische Wetenschappen, vanwege de Vereniging Trustfonds Erasmus Universiteit Rotterdam, met als leeropdracht Mathematische Besliskunde, in het bijzonder Toepassingen in Transport en Logistiek

A review of operations research methods applicable to wildfire management

Across the globe, wildfire-related destruction appears to be worsening despite increased fire suppression expenditure. At the same time, wildfire management is becoming increasingly complicated owing to factors such as an expanding wildland-urban interface, interagency resource sharing and the recognition of the beneficial effects of fire on ecosystems. Operations research is the use of analytical techniques such as mathematical modelling to analyse interactions between people, resources and the environment to aid decision-making in complex systems. Fire managers operate in a highly challenging decision environment characterised by complexity, multiple conflicting objectives and uncertainty. We assert that some of these difficulties can be resolved with the use of operations research methods. We present a range of operations research methods and discuss their applicability to wildfire management with illustrative examples drawn from the wildfire and disaster operations research literature

Quantile Hedging in a Semi-Static Market with Model Uncertainty

With model uncertainty characterized by a convex, possibly non-dominated set of probability measures, the agent minimizes the cost of hedging a path dependent contingent claim with given expected success ratio, in a discrete-time, semi-static market of stocks and options. Based on duality results which link quantile hedging to a randomized composite hypothesis test, an arbitrage-free discretization of the market is proposed as an approximation. The discretized market has a dominating measure, which guarantees the existence of the optimal hedging strategy and helps numerical calculation of the quantile hedging price. As the discretization becomes finer, the approximate quantile hedging price converges and the hedging strategy is asymptotically optimal in the original market.Comment: Final version. To appear in the Mathematical Methods of Operations Research. Keywords: Quantile hedging, expected success ratio, model uncertainty, semi-static hedging, Neyman-Pearson Lemm

Investigating the Effect of Initiation Device on Environmental Effect of Blasting: A Case Study of Beautiful Rock Lokoja, Nigeria (A subsidiary of resurrection Power Inv. Ltd)

The research investigates the effect of initiation device on environmental effect of blasting.    The objectives of the research were achieved through field measurement and data collection. Vibration and noise generated during blasting operations were estimated using mathematical models. Various blasting agents and accessories used for blasting operations were also collected. The results revealed that the noise and vibration generated during blasting with NONEL is minimal as compared to the safety fuse and the electrical methods. It also has high blasting efficiency of 99.1%. Keywords: Initiation device, vibration, noise, blasting agents, blasting accessories, NONEL, safety fuse method, electrical method

Operations Research Methods for Optimization in Radiation Oncology

Operations Research has a successful tradition of applying mathematical analysis to a wide range of applications, and problems in Medical Physics have been popular over the last couple of decades. The original application was in the optimal design of the uence map for a radiotherapy treatment, a problem that has continued to receive attention. However, Operations Research has been applied to other clinical problems like patient scheduling, vault design, and image alignment. The overriding theme of this article is to present how techniques in Operations Research apply to clinical problems, which we accomplish in three parts. First, we present the perspective from which an operations researcher addresses a clinical problem. Second, we succinctly introduce the underlying methods that are used to optimize a system, and third, we demonstrate how modern software facilitates problem design. Our discussion is supported by several publications to foster continued study. With numerous clinical, medical, and managerial decisions associated with a clinic, operations research has a promising future at improving how radiotherapy treatments are designed and delivered