專案管理在科技管理方面的應用可溯自1940年代美國海軍發展北極星潛艇飛彈 及杜邦公司研發新產品。前者所採用的方法稱為計劃評核術（PERT），而後者稱為要徑法 （CPM）。CPM及PERT均以網路分析技巧作為專案管理之輔助工具。然而當時間及成本更改時， 甚至工作項目有所改變時，CPM及PERT之修訂十分不易，造成專案管理之困難。專案管理之 線性規劃模式乃在此種環境下產生。本文乃在回顧專案管理之線性規劃模式，並進行實證運 算實驗。從時間及成本因子之敏感度分析中，探討時間及成本間之關聯性，期能增加線性規 劃技術在專案管理之實用性。本文不考慮風險或不確定性等因素，僅就時間及成本二方面分 析，建立線性規劃模式，並利用線性規劃軟體CPLEX來求解專案網路中的要徑及所需工期。 個案分析結果顯示：線性規劃方法在專案管理上有其實用價值，未來研究值得更深入探討其 在應用上之範圍及限制。

　　　　　The application of project management in the technology development can be traced back to 1940s when the United States Navy was developing Polaris Weapon System and Du Pond was researching on new products at the same time period. PERT (US NAVY) and CPM (Du Pond) were invented as the methods to manage the resource allocation and time control in highly complex projects. Both PERT and CPM methods apply network diagram as the analytical tools. When there are changes in tasks, task time, or costs, the impact of these changes can not be easily obtained by using PERT of CPM methods. Therefore, linear programming models in project management. A computational test was conducted on a sample project taken from literature. Time and cost factors were examined closely for their change impacts on a project and their relationships. We do not consider uncertainty factor in this paper. We use CPLEX linear and integer programming optimizer for all computational works. Our results have shown that linear programming models are very applicable to project management and deserve more attentions from the practitioners. Further investigation to the application and the limitation of LP models may be very worthy.