都市における人の流れに着目し, 施設の配置場所とサービス提供時間帯を同時に最適化する数理モデルを構築し, 鉄道網上での配置分析を行った。具体的には, (1) 終業後の帰宅途中に施設へ立ち寄りサービスを受ける状況において早く帰宅できるほど望ましい点を考慮したモデル, (2) サービス提供時間帯のどこかで一定時間以上立ち寄ればよいモデル, (3) サービス提供時間を可変とした拡張モデル等を提案した。さらに, オリンピック開催期間中の観戦客輸送に関わる数理モデル, ネットワークを段階的に改変するための数理モデルなど, 時間軸を幅広い視点で捉え, 理論と事例研究の両面から様々な研究を行った。
We proposed dynamic facility location models that seek locations and opening hours of multiple facilities so as to maximize the volumes of commuter flows that can be accessible to facility services, and applied the models to Tokyo metropolitan railway network using commuter flow data. Concretely, we constructed the following models: (1) a model where multiple coverage levels are considered depending on the arrival time to a destination, (2) a model in which there is a minimum required time for commuters to enjoy the service, and (3) a model where opening hours of facilities are decision variables rather than a fixed constant. In addition, we focused various situations where the temporal dimension is a critical factor, and constructed mathematical models to evaluate the effects of shuttle bus system on visitors' traffic flow to the Tokyo Bay zone during the 2020 Tokyo Olympics, and problems for designing network infrastructures by considering the time horizon.
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