建築師於規劃設計中小學校舍時，通常會考慮兩項重要規劃目標-即校舍之耐震性及經濟性。但此兩項目標常常是互相衝突的，考慮耐震性為主的校舍，將會增加校舍建築成本，造成校舍不夠經濟; 反之，以經濟性為考量重點的校舍，則易使校舍的耐震性不足，此兩項衝突目標即為多目標規劃最佳化問題，並經常困擾著建築師，造成建築師規劃設計中小學校舍時的無所適從。為探究此目標衝突問題，本論文乃以考量耐震性及經濟性兩項規劃目標下之中小學校舍最適規劃模式為研究主題。
除了目標衝突的問題外，建築師於規劃設計中小學校舍時，亦常常具有某些主觀的特質，故如何適切地詮釋這些主觀特性，使校舍之規劃設計能符合建築師之規劃偏好，並達到業主的需求，亦成為一個值得探討和深入研究的課題。
為解決上述中小學校舍多目標規劃最佳化問題並詮釋建築師的主觀規劃偏好，本論文發展了一套方法論。此方法論所引用的理論包括模糊理論、無異曲線、效率前緣以及資料包絡分析法等觀念。藉由模糊理論原理可建構出建築師的耐震偏好函數和經濟偏好函數; 結合無異曲線的觀念，則可定義建築師的五種規劃偏好，並推論建築師同時考量耐震性及經濟性時之規劃偏好; 效率前緣理論則可以從中小學校舍案例中，以資料包絡分析法之原理求出最有效率的一群案例，此群案例可建構出中小學校舍之效率前緣，作為建築師規劃設計校舍時的依據，建築師亦可藉此評估校舍之規劃效率。本論文並以位於臺中市市中心區之326棟校舍為研究範例，以詮釋本論文之方法論。

Generally speaking, the most important criteria in school building planning are safety and cost. The general aim of an architect is to guarantee the safety of the structure while using a minimum amount of material. However, these two objectives are often in conflict. Buildings designed for seismic resistance prioritize safety and often require significant additional budgetary outlays. Buildings designed for cost effectiveness, therefore, often offer inadequate seismic resistance. It's a Multi-Objective Optimization Problem (MOOP). Thus, architects, who must also strike an optimal balance between two conflicting objectives, may be indecisive when planning school buildings. To address these conflicting objectives, this thesis develops an optimal planning model that considers both seismic resistance and cost effectiveness.
Except for the two conflicting objectives, there exists the subjective characteristics when architects planning the school buildings. It is also deserved further investigation to explain these subjective characteristics adequately to match the architect's planning preference and the proprietor's demands.
In order to interpret the MOOP of the school buildings and the subjective characteristics of architects, this thesis presents the optimal planning model (OPM) based on multi-objective optimization problems (MOOP) to solve the problem of achieving adequate seismic resistance in the most cost effective way when planning school buildings. The OPM integrates fuzzy theory, indifference curve, efficient frontier and data envelopment analysis (DEA), and defines five types of architect planning preferences. The fuzzy theory was used to develop the seismic preference function and economic preference function, which can interpret relative individual architect preferences for either seismic resistance or cost effectiveness and determine the position for the two points on the indifference curve. After determining such, the slope of the indifference curve may be quickly determined. The planning preference and planning weight can then be deduced. This thesis applies the efficient frontier via DEA to identify a group of plans with the highest seismic performance index under different unit construction cost conditions for school buildings. This group of plans may create an efficient frontier curve for school buildings, with points serving as benchmarks. Finally, this thesis uses 326 school buildings in central Taichung City, Taiwan as the sample to interpret the developed research method. Optimal planning model for school buildings was achieved to provide a paragon for architects to plan school buildings and evaluate the planning efficiencies of school buildings.

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