隨著光纖技術的來臨，電信網路的存活度問題也隨之受到重視，所謂存活度即是網路有抵擋和復原中斷的能力。在光纖網路中，關於存活度的技術大致可分為兩大類：預設保護、動態復原，其中自復環是在預設保護中非常成功的技術，且對於存活網路而言，它是最廣泛被設置的架構。本論文探討同步光纖網路中雙向自復環的規劃問題。給定一個網路及各點對間的需求，我們要決定如何在已有的鏈路上設置雙向自復環，使所有需求能被設備的現有容量所滿足，並同時指派路由。我們的目標是最小化此復原網路的總成本，為此我們提出了兩種啟發式演算法來解決大型的網路問題，一種適用於使用相同種類的設備；而另一種則適用於不同種類的設備，同時也呈現其結果在各種不同績效值上的表現。

The advent of fiber optic technology has increased concerns about the survivability of telecommunication networks. Survivability is the ability of a network to withstand and recover from failures. The techniques that have been proposed and used for survivability in optical networks can be classified under two general categories: predesigned protection and dynamic restoration. In the predesigned protection, Self-Healing Ring (SHR) is a very successful technique for survivable optical networks. SHRs are one of the more widely deployed survivable network architectures, particularly in metropolitan areas. In this thesis we study the network planning problem of bi-directional self-healing ring (BSHR), which is a network structure providing higher survivability when there is a failure on link or node. Given a network with nodes, links, and demand pairs, our target is to design an optimal network comprising rings, which use only the existing links to satisfy all demands. The routing paths of all demands are simultaneously determined. The objective is to minimize the total cost of the restoration networks. We propose two heuristic algorithms for larger networks. One is suitable for the network problem with the same ADMs facilities. The other is suitable for the network problem with different ADMs facilities. Computational results are given to show the performances by the proposed heuristic algorithms.

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