Estimation of the Stable Point for the Production Process with Damped Oscillation Data

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  • 振動を伴う状態変化過程のデータを用いた安定状態の推定
  • シンドウ オ トモナウ ジョウタイ ヘンカ カテイ ノ データ オ モチイタ アンテイ ジョウタイ ノ スイテイ

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Abstract

We study the state of production processes in detail to control and improve productivity and product quality. In this article we consider the problems on slow-response characteristics for heat-seal process. The slow-response processes are characterized by damped oscillation. <br>We modeled the boundaries of oscillating state and stable state and proposed the estimation problems on the first stable point of the stable state. This estimation by the method of least square is recognized as the problem on a nonconvex minimization. <br>To attain a globally optimal solution, we proposed a method for setting a starting point based on the model characteristics. Vast simulation results illuminated that our method converged to the preferable values without any negative variances using even any algorithms.<br>We also applied this method to practical data in the heat-seal process.

Journal

  • Ouyou toukeigaku

    Ouyou toukeigaku 43 (1-3), 45-57, 2014

    Japanese Society of Applied Statistics

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