不完全情報下における内水排除施設運用に関する研究-観測系に水理学的特性を考慮したモデル-

Abstract

都市の内水排除の排除施設を効果的に運用する場合、観測システムを明示的に考慮して運用ルールを決定することが重要であり、筆者らはルールの決定が部分観測下の最適制御問題として定式化でき, 有限な状態量の関数として定義可能であることを示した(田中他、1999)。しかし、複雑な内水排除システムでは厳密な最適制御ルールを求めることは難しい。本稿ではモデルの実用的な近似解法として観測方程式を用いた方法を提示する。

Major issues of urban drainage system control are design of control policy and monitoring system. Given a monitoring system , mathematical programming model to obtain an optimal control policy is formulated as a partially observable MDP problem. It was shown in the authors' previous paper (Tanaka, et.al. 1999) that the optimal operation policy takes the form of mapping from finite a point in state space to release volume. However, for real world problems, dimensions of state vectors tend to large enough as to prohibit direct application of the model. In order to cope with this problem, this paper presents an approximate method as to obtain sub-optimal operation policy under partially observable state information. This method contains an observation equation, which is formulated by considering hydrological characteristics. Numerical examples are also provided as to demonstrate its applicability to large-scale real world problems.