American Journal of Applied Mathematics

Volume 6, Issue 2, April 2018

  • An Adjusted Trinomial Lattice for Pricing Arithmetic Average Based Asian Option

    Dennis Odhiambo Ogot, Phillip Ngare, Joseph Mung’atu

    Issue: Volume 6, Issue 2, April 2018
    Pages: 28-33
    Received: 9 November 2017
    Accepted: 22 November 2017
    Published: 24 March 2018
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    Abstract: An adjusted trinomial model for pricing both European and American arithmetic average-based Asian options is proposed. The Kamrad and Ritchken trinomial tree governs the underlying asset evolution. The algorithm selects a subset of the true averages realized at each node to serve as the representative averages. The option prices are then computed v... Show More
  • Numerical Analysis of Non-Uniform Heat Source/Sink in a Radiative Micropolar Variable Electric Conductivity Fluid with Dissipation Joule Heating

    Rasaq Adekunle Kareem, Sulyman Olakunle Salawu, Jacob Abiodun Gbadeyan

    Issue: Volume 6, Issue 2, April 2018
    Pages: 34-41
    Received: 12 February 2018
    Accepted: 6 March 2018
    Published: 26 March 2018
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    Abstract: Computational analysis of radiative heat transfer of micropolar variable electric conductivity fluid with a non-even heat source/sink and dissipative joule heating have been carried out in this article. The flow past an inclined plate with an unvarying heat flux is considered. The transformed equations of the flow model are solved by the Runge-Kutt... Show More
  • Multiple Attribute Comprehensive Evaluation Method Based on Interval Number Aggregation Operators

    Zhang Bing-Jiang

    Issue: Volume 6, Issue 2, April 2018
    Pages: 42-47
    Received: 26 April 2018
    Published: 27 April 2018
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    Abstract: The concept of position weight is put forward based on the varied position of different attribute value in the overall distribution of attribute value with the same attribute in multiple attribute and comprehensive assessment issues. What’s more, the calculation method of position weight is given and the interval numbers ordered weighted averaging ... Show More
  • Comprehensive Evaluation of Logistics Enterprise Performance Based on DEA and Inverted DEA Model

    Zhang Qian, Zhang Bing-jiang

    Issue: Volume 6, Issue 2, April 2018
    Pages: 48-54
    Received: 26 April 2018
    Published: 27 April 2018
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    Abstract: DEA is a systematic method for analyzing the relative effectiveness or benefit of decision- making units based on multi-index inputs and multi-index outputs, while Inverted DEA is a method for evaluating decision-making units based on ineffectiveness. In order to make a more reasonable evaluation of the decision-making unit, we consider using the c... Show More
  • Association Rule Mining for the Talents Introduction Strategy: A Case Study of Zhejiang University of Finance & Economics

    Wang Qin, Zhang Kangkang, Chen Huiting

    Issue: Volume 6, Issue 2, April 2018
    Pages: 55-61
    Received: 26 April 2018
    Published: 27 April 2018
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    Abstract: In recent years, the issues of the talents introduction have attracted more and more researchers' and college administrators' attention. In the era of big data, data mining technology is widely used in various fields and has achieved remarkable results. The application of data mining technology in the introduction of university talents is in the as... Show More
  • A New Method Detecting Abrupt Change Base on Moving Cut Data-Permutation Entropy

    Luo Wenxiang, Wan Li, Lai Simin

    Issue: Volume 6, Issue 2, April 2018
    Pages: 62-70
    Received: 19 June 2018
    Published: 20 June 2018
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    Abstract: Permutation entropy is an effective index which can be used to describe the dynamic complexity of a time series, and it can effectively enlarge the small changes of a sequence. In this paper, the moving cut data-permutation entropy, a new method detecting abrupt change is raised by combining the permutation entropy method with the moving cut data t... Show More
  • A Nonmonotone Trust Region Method for Nonsmooth Composite Programming Problems

    Min Xi, Ailing Xiao

    Issue: Volume 6, Issue 2, April 2018
    Pages: 71-77
    Received: 25 June 2018
    Published: 26 June 2018
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    Abstract: A class of nonsmooth composite minimization problems are considered in this paper. In practice, many problems in computational science, engineering and other enormous areas fall into this class of problems. Two obvious applications of this class of problems are least square problems with nonsmooth data and the problem of solving a system of nonsmoo... Show More
  • Practice of Data Mining in Formative Evaluation

    Lintong Zhang, Na Li, Zhigang Zhang

    Issue: Volume 6, Issue 2, April 2018
    Pages: 78-86
    Received: 25 June 2018
    Published: 26 June 2018
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    Abstract: The main purpose of this paper is to use the students' English learning situation on the Internet to formally evaluate the students' final English performance level. First of all, we introduce the concept of formative evaluation, and the principles of three kinds of data mining algorithms: naive Bayes classification, C4.5 decision tree, and Logisti... Show More
  • Research and Demonstration of the Refraction Problems

    Xiao Hu, Lintong Zhang, Jixun Chu

    Issue: Volume 6, Issue 2, April 2018
    Pages: 87-96
    Received: 25 June 2018
    Published: 26 June 2018
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    Abstract: The introduction of function extremum promotes the development of calculus, which is the prerequisite and important condition for the development and development of many mathematical ideas. Except for extreme problems in social life or science and technology, the issue of cost in economic issues, the shortest distance in mathematics problem can be ... Show More