THE DESIGN AND ANALYSIS OF EXPERIMENTS. By Oscar Kempthorne. New York, John Wiley and Sons, Inc., 1952. 631 pp. $8.50. This book by a teacher of statistics (as well as a consultant for \"experimenters\") is a comprehensive study of the philosophical background for the statistical design of experiment. It is necessary to have some facility with algebraic notation and manipulation to be able to use the volume intelligently. The problems are presented from the theoretical point of view, without such practical examples as would be helpful for those not acquainted with mathematics. The mathematical justification for the techniques is given. As a somewhat advanced treatment of the design and analysis of experiments, this volume will be interesting and helpful for many who approach statistics theoretically as well as practically. With emphasis on the \"why,\" and with description given broadly, the author relates the subject matter to the general theory of statistics and to the general problem of experimental inference. MARGARET J. ROBERTSON

The Design and Analysis of Experiments

Want to get experience? Want to get any ideas to create new things in your life? Read methods of numerical integration now! By reading this book as soon as possible, you can renew the situation to get the inspirations. Yeah, this way will lead you to always think more and more. In this case, this book will be always right for you. When you can observe more about the book, you will know why you need this.

Methods of Numerical Integration

The theory and applications of integral equations is an very important subject within applied mathematics. Integral equations are used as mathematical models for many and varied physical situations but the integral equations also occur as reformulations of other mathematical problems.

https://link.springer.com/content/pdf/10.1007%2F978-94-011-5338-6_4.pdf

Numerical Treatment of the Integral Equations

A review on evolution of production scheduling with neural networks

There are significant differences between wire networks and MANETs.MANETs have nodes with high mobility,limited bandwidth resources,and variable topology.Therefore,there is a need for new routing protocols,which solves all these drawbacks.Most routing protocols for MANETs do not take fairness into account.They tend to have a heavy burden on the hosts along the shortest path from a source to a destination.As a result,heavily loaded hosts may deplete power energy quickly,which will lead to network disconnections and failure of application sessions.There have been some methods of multipath routing to solve the question.In this paper,the progress of the multipath routing technique is surveyed,and various routing protocols are described and evaluated,which cover most types of multipath routing protocols,and then provide a comparison and discussion of their respective merits and drawbacks.Finally,the future research directions are outlined.

A Review of Routing Protocols for Mobile Ad Hoc Networks

This paper presents ESSR (Enhanced Simulated annealing for Single-row Routing) model for solving the single-row routing problem. The main objective in this problem is to produce a realization that minimizes both the street congestion and the number of doglegs. Simulated annealing (SA) is a stochastic, hill-climbing and gradient-descent technique based on the statistical properties of particles undergoing thermal annealing. By performing slow cooling, the nets in the single-row routing problem align themselves according to a configuration with the lowest energy. The model has been known to produce reasonably good solutions for many NP-complete optimization problems, such as the single-row routing problem. In ESSR, our strategy is to minimize both the street congestion and the number of interstreet crossings (doglegs) by expressing a single energy function as their collective properties. This objective is achieved by representing the energy as the absolute sum of the heights of the net segments. To speed up convergence, we pivot the street congestion value while having the energy drops directly proportional to the number of doglegs. This action has the effect of minimizing the number of doglegs as the energy stabilizes. Our simulation work on ESSR produces optimal results in most cases for both the street congestion and the number of doglegs. Our experimental results compare well against results obtained from our earlier model (SRR-7) and two other methods reported in the literature.

Enhanced Simulated Annealing Technique for the Single-Row Routing Problem

The objective of this research is to study the impact of the Asian financial crisis and terrorist attacks Bali on the number of tourist arrivals by using a multi input intervention model. The focus is on the development of a model that could be used to explain the magnitude and periodic impacts of the Asian financial crisis since July 1997 and terrorist attacks referring to the Bali bombings on October 12th 2002 and October 1st 2005, respectively. Monthly data comprising the number of tourist arrivals in Indonesia via Soekarno-Hatta airport are used as the data for this case study. The results show that the Asian financial crisis and Bali bombings yield negative impacts on the number of tourist arrivals to Indonesia via Soekarno-Hatta airport. Generally, the Asian financial crisis gives a negative permanent impact after seven month delay. The first and second Bali bombings also yield negative impacts which were temporary effect after six and twelve months delay respectively. In addition, this research also discusses how to assess the effect of an intervention in transformation data.

			Keywords: Asian crisis; terrorist attacks; tourist arrivals; intervention model; transformation data.

https://www.matematika.utm.my/index.php/matematika/article/download/552/545

Multi Input Intervention Model for Evaluating the Impact of the Asian Crisis and Terrorist Attacks on Tourist Arrivals

In this paper we formulate an embedded method based on harmonic and arithmetic means of order 4. This method together with RK-Harmonic scheme may be used to estimate the solutions of initial value problems. The absolute stability region of this scheme is also studied and we conclude with a numerical example to justify the effectiveness of the method.

			Keywords: Harmonic Mean; Runge-Kutta method; stability; error control.

			Dalam kertas ini kami rumuskan satu kaedah terbenam berperingkat 4 yang berasaskan min harmonik dan min aritmetik. Kaedah ini berserta de\-ngan skema RK-Harmonik boleh digunakan bagi menganggarkan penyelesaian kepada masalah nilai awal. Rantau kestabilan untuk skema ini juga dikaji dan kita simpulkan dapatan ini dengan satu contoh masalah sebagai mengesahkan keberkesanan kaedah ini.

			Katakunci: Min-Harmonik; Kaedah Runge-Kutta; kestabilan; kawalan ralat.

/pdf/a-new-fourth-order-embedded-method-based-on-the-harmonic-2jcsj4ha8w.pdf

A New Fourth-Order Embedded Method Based on the Harmonic Mean

A complete graph is a fully-connected graph where every node is adjacent to all other nodes in the graph. Very often, many applications in science and engineering are reducible to this type of graph. Hence, a simplified form of a complete graph contributes in providing the solutions to these problems. In this paper, we present a technique for transforming a complete graph into a single-row routing problem. Single-row routing is a classical technique in the VLSI design that is known to be NP-complete. We solved this problem earlier using a method called ESSR, and, the same technique is applied to the present work to transform a complete graph into its single-row routing representation. A parallel computing model is proposed which contributes in making the problem modular and scalable. We also discuss the application of this work on the channel assignment problem in the wireless cellular telephone networks.

Single-Row Transformation of Complete Graphs

In this study, Taguchi method was used to identify the several factors that may affect the performance of Destination Sequence Distance Vector (DSDV) routing protocol. The performance of DSDV routing protocol in mobile ad hoc networks were greatly influence by factors such as node speed, node pause time and traffic load. Problem statement: By using orthogonal experimental design and analysis techniques, the protocol performance can be analyzed with more objective conclusion through only a small number of simulation experiments. Approach: The performance was measured with respect to packet delivery ratio. Analysis of variance (ANOVA) was carried out to identify the significant factors affecting the response and the best possible factor level combination was determined through analysis of the signal-to-noise ratio. Results: It was found that the traffic load has a stronger influence on the packet delivery ratio, followed by the pause time. Conclusions/Recommendations: The optimal setting of the best performance is determined. The optimal setting has resulted in increased packet delivered. These findings demonstrate that Taguchi method may be valuable tool for the investigation of main effect or interactions of multiple factors in the performance of mobile ad hoc network routing protocols.

The use of Taguchi method to determine factors affecting the performance of destination sequence distance vector routing protocol in mobile ad hoc networks

Bahrom Sanugi

Papers

Enhanced Simulated Annealing Technique for the Single-Row Routing Problem

Multi Input Intervention Model for Evaluating the Impact of the Asian Crisis and Terrorist Attacks on Tourist Arrivals

A New Fourth-Order Embedded Method Based on the Harmonic Mean

Single-Row Transformation of Complete Graphs

The use of Taguchi method to determine factors affecting the performance of destination sequence distance vector routing protocol in mobile ad hoc networks