在一個系統開發專案中，如何決定各子系統間的開發優先順序在其中扮演著重要的角色。然而，在缺乏相關經驗與未獲得足夠資訊下，決策者可能無法主觀決定此一發展優先順序。若就能力集合擴展而言，則可以視一個系統開發專案為達成某一決策問題之期望目標所需之能力集合。此時，各個子系統為能力集合中為達成專案目標所需獲得或開發之技能。我們藉由灰關聯分析獲取子系統間開發所需之執行成本，並運用Li（1999）所提出適用於能力集合擴展之整數規劃法求得具最小開發成本之學習序列，以由此獲得子系統間的開發優先順序。因此，本文之目的在於提出一個新的方法以解決所執行之系統開發專案中，子系統間的開發順序無法有效決定的問題。我們以臺灣運輸安全相關系統之開發，來說明所提出方法的可行性及有用性。

For a project of the system development, teh determination of the development precedence among the subsystems plays an important role. However, the decision maker may not appropriately determine the development precedence among the subsystems in a project resulting from the indexperience and inadequate information. From the viewpoint of the competence set expansion, a project, consisting with subsystems that are needed to be developed, can be treated as the needed competence set for attaining the desired goal. In such a competence set, each subsystem can be viewed as a cometence. In this paper, we use the grey relation to acquire the cost between any two subsystems. In order to acquire the development precedence, an integer programming method proposed by Li (1999) is employed to detemine the learning sequence with the minimum cost. That is, this paper aims to propose a new method to resolve a problem in which the development precedence among the subsystems in a project cannot be effectiely determined. An empirical case concerning transportation safety systems in Taiwan is used to illustrate the usefulness and feasibility of the proposed method.