Contrivance of Bell-form Frequency Mode for Standard Values Setting of Agricultural Production Indices

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  • 農業生産指標の標準値設定のための鍾形頻度最頻値の考案
  • −Application of Mixed Integer Non-linear Programming as OR Method−
  • －OR手法としての混合整数非線形計画法の応用－

Abstract

<p>Agriculture is influenced by the natural environment and the outliers of agricultural production indices, such as yield and work time, appear easily. In addition, the distribution of the agricultural production indices is not always symmetrical. In agricultural production management, it is preferable to grasp the mode as a standard value, which is referred to as an original value. However, existing studies indicate that the conventional mode calculation method constructing a histogram has severe challenges. Ordinarily, the mode changes depending on how the “anchor position” is determined and is not unique. Although there are some algorithms which do not need a histogram, such as a core median, there are also challenges with them. Consequently, a new method for determining the bell–form frequency mode, which does not need a histogram, was developed. In this study, we developed a mixed integer nonlinear programing model for calculating the bell-form frequency mode as a challenge that maximizes the frequency function with which a quadratic function is enclosed. In addition, we applied the developed method to various kinds of data and analyzed the conditions that should be considered.</p>

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