Special Issue "Application and Future Scope of Fundamental Mathematical and Computational Sciences in Engineering & Technology"

A special issue of American Journal of Applied Mathematics and Statistics

Deadline for manuscript submissions: (December 01, 2014)

Special Issue Editor(s)

Chief Guest Editor

Prof. Vishwa Nath Maurya
The University of Fiji, Fiji
Technical University, India
Email: prof.drvnmaurya@gmail.com, prof_vnmaurya@yahoo.in

Guest Editor

Prof. Ram Bilas Misra
State University of New York, Republic of Korea
Dr. R.M.L. Avadh University, Faizabad, U.P. India
Email: misrarb1@rediffmail.com

Prof. Bijay Singh
Punjab Agricultural University, India
Email: bijaysingh20@hotmail.com

Prof. Chandra K. Jaggi
University of Delhi, New Delhi, India
Email: ckjaggi@yahoo.com

Avadhesh Kumar Maurya
Gautam Buddha Technical University, Lucknow, U.P., India
Email: avadheshmaurya09@gmail.com

Special Issue Information

Fundamental mathematics and statistics are used by the great majority of the workforce, without their thinking of themselves in any way as mathematicians or statisticians. Recent study of Massey University estimated that more than 85% of the New Zealand work force is involved in simple forms of measurement and estimation, more than 67% is involved in some form of data collection and interpretation, and over 50% is responsible for some form of inventory or money management. Similar data can be found in other Asian, European and African countries of the world. Usually, the mathematical activity is restricted to well-defined tasks - computations, measurements, plotting and interpretation of simple graphs - carried out on a routine basis, without the person doing the work being able easily to modify their task in response to changing circumstances. Most of the tasks would be within the scope of the regular school programme. There is then a very wide spectrum of mathematical tasks embedded into different professional fields, for example, finance and accounting, engineering science and architecture technology, business and management, agriculture, medicine, physical, biological and social sciences, etc. Almost universally, the computations for these tasks are no longer handled manually, but are coded into different types of software - spreadsheets, statistical packages, purpose-built packages for computer-aided design, inventory control, forecasting etc. The mathematical skills are required not in operating the computer terminal, but in interpreting the output, checking that requirements on input data are properly satisfied, understanding the things that can go wrong, adapting the use of the software to the particular requirements of the problem at hand. At the less mathematical end of the spectrum, the persons undertaking these tasks may not be easily able updating the procedures they use to cope with new or changing circumstances. At the more mathematical end, the persons may spend much of their time developing such modifications or guiding and advising less confident staff. As in any professional task in the field of medical science, agricultural science, engineering science and technology, the value and quality of the service provided depends greatly on the quality of the evaluator/estimator and the perspective they are able to bring to the problem as a result of their background knowledge and experience. In this respect, the mathematical training of the staff concerned may vary from, at the lower end, a university service course on basic mathematics or statistics, topped up by specific applications courses in the subject area, to, at the upper end, a full masters degree or higher in one of the mathematical sciences.

Finally, there is a logical consistency in which virtually all major scientific and technological advances have required appropriate mathematical tools or theories for their development. At some stage, these tools or theories were themselves the subject of independent mathematical research.

It is highly expected that the information and exploration of significant results gained through the present special issue will contribute to the world economy, and the following factors likely to affect their role in the future:

• The most important role of mathematics is in underpinning almost all activities in a modern society of science & technology. It operates at many levels and extends across all socio-economic sectors.

• To find a high general level of quantitative literacy; care for data quality and integrity in both public and private sectors;

• To find adequate mathematical expertise available for proper advice and interpretation of quantitative software, and the development, interpretation, and application of quantitative models;

• To recognize that proper uses of computer software and packages for complex or high-consequence analyses requires sound professional kn

Keywods

  • • Probability Theory and Statistics
  • • Statistical Inference
  • • Population Studies
  • • Statistical Survey and Sampling Techniques
  • • Pure and Applied Mathematics
  • • Mathematical Physics
  • • Differential Geometry
  • • Mathematical and Statistical Methods
  • • Modeling and Simulation Techniques
  • • Optimization Techniques
  • • Linear and nonlinear Programming
  • • Integer Programming
  • • Goal Programming
  • • Quadratic Programming and Related Topics
  • • Multi-objective Optimization
  • • Network Optimization
  • • Inventory Control
  • • Supply Chain Management
  • • Queueing control
  • • Non-differentiable Optimization
  • • Operations Research
  • • Optimal design and Control
  • • Parallel Optimization Algorithms
  • • Artificial Intelligence
  • • Fractional Programming
  • • General Constrained Optimization
  • • Stochastic Optimization
  • • Systems for Optimization
  • • Reliability Analysis
  • • Fuzzy Logic
  • • Basic and Advanced Computing
  • • Computer Science & Engineering

Published Papers

   
Abstract: This paper contributes to the literatures about Chinese commercial banks technical efficiency. In order to eliminate the deviation of efficiency scores caused by an undesirable output that is represented by banks’ non-performing loans, the estimation is based on an enhanced parametric hyperbolic distance function which considers not only desirable outputs but also undesirable outputs. Furthermore, we extend the model to divide the factors that affecting technical efficiency into direct factors and indirect factors and exclude the influence of the latter when analyzing the determiners of banks technical efficiency. The validity of this model is examined by a panel of bank data from 2004-2010.
Abstract: In this article the method for numerical solution of boundary integral equations of the original problem is proposed. This method is one of the modifications of Nystrom-type methods; particularly the method of discrete vortices. The convergence of the numerical solutions to the exact solution of the problem is guaranteed by propositions proved in this article. Also, the rate of convergence of the approximate solutions to the exact solution had been found.
Abstract: This paper is based on statistical analysis of rate of kidney renal failure taking into account that the variables of interest are sex and age group. The nature of the data used herein is secondary data, which was obtained from University of Maiduguri Teaching Hospital (UMTH) medical record for consecutive ten (10) years (1998-2007), while monthly reported cases was collected and analyzed. Our present study has been carried out in order to determine whether the effect of renal failure depends on age and sex, and to look at the prevalence of kidney (renal) failure, over the period of study. Appropriate statistical techniques have been used to test the difference of means (t-test) and contingency table (x2 -test), based on the analysis of results. The analysis has been done for significant at 5% level of significance. The empirical results are obtained from the tests of two different means which reveal that there is a significant difference in the prevalent of renal failure between male and female. Resultantly, the impact of kidney renal failure has been focused both on two parameters of age and sex. Finally, some significant suggestions based on our empirical results and observations have also been proposed for preventing kidney renal failure and future scope of present study.
Abstract: Present paper envisages a novel approach to explore some real sequences by using the gamma function, arithmetic progression (AP) and geometric progression (GP). Particularly, applications of properties of both the arithmetic progression (AP) and geometric progression (GP) are focused to find out some real sequences which can be significantly useful in emerging fields of engineering science and technology. Real sequences play vital role in testing of convergence of infinite power series in real analysis and engineering mathematics. In this paper, several propositions pertaining to real sequences are explored and examined by way of presenting proofs. In addition to this, various numerical examples are also illustrated in order to emphasis the application aspect of real sequences explored herein. Finally, some significant conclusions are drawn for future scope and further findings with different versions of real sequences.