Cost function considerations in hierarchical growth of lightwave networks

• Published in: IEEE photonics technology letters Vol. 6; no. 2; pp. 306 - 308
• Main Authors: Tonguz, O.K., Falcone, K.A.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.02.1994; Institute of Electrical and Electronics Engineers
• Subjects: Access protocols; Applied sciences; Bandwidth; Bit rate; Cost function; Exact sciences and technology; Intelligent networks; Optical transmitters; Organization and planning of networks (techniques and equipments); Propagation delay; Quality of service; Scalability; Systems, networks and services of telecommunications; Telecommunication traffic; Telecommunications; Telecommunications and information theory; Theoretical study; System design; Optical local network; Cost analysis; Optical telecommunication
• ISSN: 1041-1135; 1941-0174
• DOI: 10.1109/68.275458

In this paper the potential usefulness of hierarchical networks is investigated from the viewpoint of growth of light-wave networks. To that end, a simple cost function is defined and used to measure the benefit of using hierarchical networks. Simple closed-form relationships developed for the cost function indicate that the most significant reduction occurs going from a single level network to a 2 level network, and the cost function reduces from the order of N/sup 2/ to N/sup 3/2/ where N is the number of nodes. When other network parameters are also considered (such as the amount of fiber required), star/ring hybrid networks are shown to be a good choice among different possibilities for 2 level networks.< >