營建工程若無法於預定期限內完工，承包商需要執行適當的趕工計畫提升施工進度。惟執行趕工計畫可能導致成本增加、品質下降、施工安全性降低等潛在問題。因此，針對營建專案之趕工計畫，如何兼顧縮短工期、運用有限經費預算，以及維持施工安全性，此為承包商必須要重視的問題。

本研究提出專案趕工之時間、成本與安全的權衡模式分析趕工問題，其可分為明確型與模糊型趕工模式，前者係以意外嚴重率與安全投資之線性迴歸式評量施工安全性，後者係以專家主觀判斷，並加入模糊理論來分析不確定的施工安全性。另外，本研究以非線性之二次曲線來分析工期與直接成本之間的關係。針對模糊型趕工模式，各作業直接成本之二次函數的係數以三角模糊數來表示，其係用來分析專案趕工期間所面臨的不確定性之趕工成本。

最後，本研究使用兩個案例分析來驗證明確型與模糊型趕工模式之可應用性，以期達到專案趕工期間之節省成本、縮短工期，以及維持施工安全的管理目標。

If construction projects can’t be implemented on schedule, contractors need to execute the reasonable catch-up plan so as to accelerate the construction progress. However, project crashing may result in increasing costs, reduction of quality, loss of construction safety performance, and so on. Consequently, for construction projects with catch-up plan, how to give consideration to crash duration, crash costs, budget constraints, and construction safety performance simultaneously to obtain the optimal solution for each activity, which is the problem the contractors must value.

In this research, we propose the multi-objective optimization models for time, cost and safety trade-off analysis. The proposed models can be categorized into the deterministic type and the fuzzy type. For the deterministic project crashing model, the assessments of construction safety are based on the linear regression analysis with safety investment predicting accident severity rate. On the other hand, for the fuzzy project crashing model, we use experts subjectively judgement with fuzzy theory to evaluate the construction safety performance. Also, the nonlinear quadratic functions are used to analyze the relationship between duration and direct costs. And for the fuzzy project crashing model, we use triangular fuzzy numbers to represent the coefficient of quadratic function for direct costs, which can address the uncertain project costs on project compression. Finally, two case studies are implemented to demonstrate the applications of the deterministic project crashing model and the fuzzy one respectively.

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