過去建設公司在基地建設開發的選擇上，多憑經驗方式決定開發位置以及開發方式，缺乏科學性之量化評估模式，如此決策方式在小規模開發尚可勝任，當開發規模放大且建案選擇多時，若沒有有效率的決策工具輔助，決策者決定的開發基地以及形式可能不會達到最大的效益；本研究以建商的角度出發，針對開發位置、開發形式與不同售價及成本等條件，利用線性規劃最佳化模式，求出各個區域最佳開發位置以及開發形式，以利建商作為決策參考之用。為驗證數理規劃模式之適用性與合理性，本研究以設計之二十個地區，每個地區各有十五個開發基地，而每個開發基地皆可依照價格選擇三種不同建築開發形式。此外依據各參數之敏感度變化趨勢進行敏感度分析，藉此瞭解不同銷售率以及不同售價對於整體目標函數的影響。求解方法上，本研究將各開發基地之土地面積、購地成本、總樓地板面積、每坪造價與售價等資料，利用 EXCEL 軟體整理呈現，輸入 LINGO 12 套裝軟體求解，即可得最大化利益之開發結果。When selecting locations for future development, most land development agencies rely on their empirical method to determine the desired locations and development methods. The empirical method lacks scientific and evaluation basis. The empirical method may be sufficient for smaller development. However, without the assistance of efficient and precise decision making mechanism, when faced with large development involving various types of structures, the decision maker may not achieve optimized result. The purpose of this research is to utilize linear programming based on the variables of locations, occupancy types, sales price, and cost to determine the optimal locations and types of development. To demonstrate the logicality and applicability of this mathematical function, this study used twenty different regions, each region with fifteen development locations, and each location with three different types of structures as the basis of this research. In addition, sensitivity analysis is performed to observe the variation of each parameter to ascertain the effect of percentage of sold and sales price on the overall function of linear programming. This study used EXCEL to formulate floor area of development locations, land acquisition cost, total floor area of building, cost of construction per pin, and sales price to input into LINGO 12 to obtain solution for optimal development result.
