Towards an Efficient and Exact Algorithm for Dynamic Dedicated Path Protection

• Published in: Entropy (Basel, Switzerland) Vol. 23; no. 9; p. 1116
• Main Authors: Szcześniak, Ireneusz, Olszewski, Ireneusz, Woźna-Szcześniak, Bożena
• Format: Journal Article
• Language: English
• Published: Switzerland MDPI AG 27.08.2021; MDPI
• Subjects: Algorithms; Dijkstra's algorithm; dynamic dedicated path protection; elastic optical network; Enumeration; generic Dijkstra algorithm; Heuristic; Human error; modulation constraints; Network reliability; Nodes; Optical communication; Optimization; Return on investment; Simulation; Spectrum allocation; Wireless networks; modulation constraints; elastic optical network; dynamic dedicated path protection; generic Dijkstra algorithm
• ISSN: 1099-4300; 1099-4300
• DOI: 10.3390/e23091116

We present a novel algorithm for dynamic routing with dedicated path protection which, as the presented simulation results suggest, can be efficient and exact. We present the algorithm in the setting of optical networks, but it should be applicable to other networks, where services have to be protected, and where the network resources are finite and discrete, e.g., wireless radio or networks capable of advance resource reservation. To the best of our knowledge, we are the first to propose an algorithm for this long-standing fundamental problem, which can be efficient and exact, as suggested by simulation results. The algorithm can be efficient because it can solve large problems, and it can be exact because its results are optimal, as demonstrated and corroborated by simulations. We offer a worst-case analysis to argue that the search space is polynomially upper bounded. Network operations, management, and control require efficient and exact algorithms, especially now, when greater emphasis is placed on network performance, reliability, softwarization, agility, and return on investment. The proposed algorithm uses our generic Dijkstra algorithm on a search graph generated “on-the-fly” based on the input graph. We corroborated the optimality of the results of the proposed algorithm with brute-force enumeration for networks up to 15 nodes large. We present the extensive simulation results of dedicated-path protection with signal modulation constraints for elastic optical networks of 25, 50, and 100 nodes, and with 160, 320, and 640 spectrum units. We also compare the bandwidth blocking probability with the commonly-used edge-exclusion algorithm. We had 48,600 simulation runs with about 41 million searches.