高架橋樑的墩柱依現行法規每兩年需要做例行性的結構安全檢查以及維護管理，不同形式的柱墩需要搭配不同的人力以及機具進行維修檢查，不當的人機作業組合安排容易造成工程日期延宕，或是浪費過多的人力成本與金錢，甚至衍生出更多的工安意外。因此，如何在適當地點與時間，安排最有效率的維修人機作業組合即是一個重要的課題。本研究旨在提供數理規劃模式，將不同形式、不同高度的橋墩維修所需要人力、搭配機具以及工時納入考量，以求取成本最小化的結果。為驗證本模式合理性與實用性，本研究以一橋墩做為範例，該橋墩橫跨四個不同的區域，每區域有不同數目的橋墩，並且橋墩的型態可以區分為道路以及田園兩種形式，高度亦可區分為三種不同的高度。將參數輸入LINGO 9.0套裝軟體進行數理模式規劃求解，在成本最小化的考量之下，並在指定的工期內完成全部橋樑的維修工作；並以最佳化模式所求得之指派結果與一般人工經驗指派進行比較，以驗證本研究最佳化模式產生的指派結果，確實較人工經驗指派之維修時間來的快，且更有效率。故本研究可靈活運用於先期維修排程規劃及人機組合增減檢討等規劃問題，幫助決策者精準規劃。According to current regulation, the abutment of elevated bridge is required to be maintained and inspected for structural safety every two years. Different types of abutment require various assignments of human resource and machinery to perform inspection and maintenance. Inappropriate combination of human and machinery assignment may cause delay in construction schedule, or result in excessive waste of human resource and capital. Moreover, inappropriate assignment may even result in construction accident. Given the locations and timing, selecting an appropriate assignment of human resource and machinery becomes an important factor. The purpose of this research is to provide a mathematic function to obtain optimal result and minimal cost considering different types, height of abutment, required human power, equipment, and duration to complete the task. To demonstrate the logical applicability of this mathematical function, this study is based on one structural type of pier as basis, spanning four different types of terrains; each terrain has different number of piers. There are two different types of piers, roadway and countryside. Each type has three different heights. The parameters are input into LINGO 9.0 to solve for minimal cost based on the mathematical function, given the required duration to complete the task. Optimal results of human and machinery assignment is then compared with experience based manual assignment to validate the solution. In fact, assignment by optimization when compared with manual assignment is more efficient in both time and cost. Thus, this study can accurately assist decision maker in dealing with maintenance scheduling and human/machinery planning.
