Optical networks today are a major part of every communication network. Among the many advantages that they offer, very high speeds and bandwidth are two of the most important reasons why they are conquering the communication arena. However, due to certain properties of optical carriers, data has to be converted into electrical data at several epochs and reconverted. This acts as bottleneck for many important properties, especially the speed. To overcome this effect, new, completely optical switches are being devised. Unlike typical switches, these don’t have a memory storage buffer, thereby the usual queuing models for performance analysis do not apply. To address this issue, we propose a basic model. We put forward a vacation-type queuing model, and a single-server multi-queue polling model, with the special feature of retrials. Just before the server arrives at a station there is a glue period. Customers (both new arrivals and retrials) arriving at the station during this glue period will be served during the visit of the server. Customers arriving in any other period leave immediately and retry after an exponentially distributed time. We then analyze the performance measures, like queue length of such a model, and try to optimize them.
Murtuza Ali Abidini received his Dual Degree of Electrical Engineering with specialization in Communication Systems, from Indian Institute of Technology, Bombay in June 2014. His master’s thesis was on Routing strategies in queueing system. Following his interest in queueing systems and background in electrical engineering Murtuza started his Ph.D. in October 2014, working on performance analysis of optical networks under the guidance of Prof. Onno Boxma, Prof. Ton Koonen and Dr. Jacques Resing at Eindhoven University of Technology, The Netherlands. The research is supported by the Gravity program NETWORKS and is done in collaboration with mathematics and electrical engineering departments at Eindhoven University of Technology.