近年來，如何利用光交換機和光纖延遲線來建造光佇列被視為在全光封包交換技術中的一個重要的研究議題。在這篇論文中，我們的研究主題是利用光交換機和光纖延遲線來建造先進先出光佇列。我們考慮一個網路元件，它的架構是由1個1×2光交換機、k_1+k_2個2×2光交換機、以及k_1+k_2條長度分別是l_1, l_2,..., l_{k_1+k_2}的光纖延遲線所組成。假設l_{1}^{k_1}=(l_1, l_2,..., l_{k_1+k_2})\in A_{k_1}，其中A_{k_1}是一個光纖延遲線長度序列的集合，它收集了滿足以下性質的所有光纖延遲線長度序列l_{1}^{k_1}：所有大於等於0和小於等於\sum_{j=1}^{k_1} l_j的整數經過以l_{1}^{k_1}為參數的C-transform後都是唯一表示。這篇論文的主要貢獻是提出了上述網路元件架構中每個光交換機的明確控制方式，以及若要將此網路元件架構在我們所提出的明確控制方式下操作為一個容量為\sum_{j=k_1+1}^{k_1+k_2} l_j的先進先出光佇列，我們找到了光纖延遲線長度l_{k_1+1}, l_{k_1+2},..., l_{k_1+k_2}選取的充分且必要條件(詳見第一章裡(A1)中的條件)。我們所提出的明確控制方式的關鍵想法是使所有存放於此網路元件架構中的封包符合次序存放的性質(ordered property)以及循環地接連存放的性質(circularly contiguous property)，而這兩個性質將導致先進先出光佇列所必須具有的性質被滿足。

Recently, constructing optical queues by using optical crossbar Switches and fiber Delay Lines (SDL) has been recognized as a key research issue for all-optical packet switching. In this thesis, we focus on SDL constructions of optical FIFO queues. We consider a network element consisting of a 1×2 optical crossbar switch, k_1+k_2 2×2 optical crossbar switches, and k_1+k_2 fiber delay lines of lengths l_1, l_2,..., l_{k_1+k_2}. Assume that l_{1}^{k_1}=( l_1, l_2,..., l_{k_1+k_2})\in A_{k_1}, where A_{k_1} is the set of all sequences of fiber delays so that any nonnegative integer x with 0<=x<=\sum_{j=1}^{k_1} l_j has a unique representation by the C-transform of x with respect to l_{1}^{k_1}. The main contribution of this thesis is to provide an explicit control scheme that explicitly specifies the connection patterns of the optical crossbar switches, and obtain a necessary and sufficient condition on the lengths l_{k_1+1}, l_{k_1+2},..., l_{k_1+k_2} (specifically, the condition in (A1) in Chapter 1) for such a network element to be operated as an optical FIFO queue with buffer \sum_{j=k_1+1}^{k_1+k_2} l_j under our proposed control scheme. The key idea in our proposed control scheme is to operate the network element such that packets stored in the network element satisfy an ordered property and a circularly contiguous property, which lead to the properties required of a FIFO queue.

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