On Efficient Constructions of Optical Priority Queues

On the maximum buffer size achieved in a class of constructions of optical priority queues

“…, where α is a constant that depends on the parameters used in the constructions in [36]. This buffer size 2 O( √ αM ) (which is exponential in √ M ) dramatically outperforms all previous results in [27]- [35] (all of which are only polynomial in M ) and is the best result currently available in the literature.…”

“…1). Since the publication of the paper [27], there have been several works [28]- [36] on the constructions of optical priority queues that improve on the O(M 2 ) buffer size. The buffer size achieved in [36]…”

“…In this paper, we focus on the constructions of optical priority queues in our previous work [36]. The main contributions of this paper are as follows:…”

“…Indeed, such an SDL approach has been successfully used to construct a variety of optical buffers in the literature. These works include: (i) The early feasibility studies in [1]- [4], (ii) output-buffered switches in [5]- [10], (iii) first-in first-out (FIFO) multiplexers in [5] and [10]- [20], (iv) FIFO queues in [20]- [25], (v) lastin first-out (LIFO) queues in [22], [23], and [26], (vi) priority queues in [27]- [36], (vii) time slot interchanges in [20] and [37], (viii) linear compressors/decompressors, non-overtaking delay lines, and flexible delay lines in [20] and [38]- [43], and (ix) FIFO/LIFO/absolute contractors in [44]. Furthermore, results on the fundamental complexity of SDL constructions of optical queues can be found in [45] and performance analysis for optical queues has been addressed in [46] and [47].…”

“…We are aware of many important practical feasibility issues such as: (i) Router buffer sizing problem, (ii) fault-tolerant capability, and (iii) limitation on the number of times that an optical packet can recirculate through optical switches and fiber delay lines. For those who are interested in such practical feasibility issues, we refer to Sections V-A and V-C in [36] and the references therein for details. For review articles on SDL constructions of optical buffers as well as related implementation and feasibility issues, we refer to [48]- [53] and the references therein.…”