An Approximate Queueing Model for Limited-Range Wavelength Conversion in an OBS Switch

Abstract

We develop an analytical model for modeling limited-range wavelength conversion employed in an OBS switch. The system is modeled as a simultaneous resource possession problem. We propose a productform solution which calculates approximate blocking probabilities for degree of conversion d = 1, 2 and for large number of wavelengths. We then propose an approximate model for large values of d. The output of our model was verified with simulation results.

Performance analysis of optical burst switching node with limited wavelength conversion capabilities

“…The asynchronous bufferless switches with LRWC were investigated [7] analytically for smaller conversion ranges and a small number of wavelengths, while they were investigated approximately for larger conversion ranges and a large number of wavelengths. An approximate method named as overflow fixed point (OFP) was proposed to calculate blocking probability of an asynchronous bufferless OBS switch with sufficient number of LRWCs [8].…”

Performance evaluation of an optical burst switching scheme for grid networks

“…This is because the connection request may be refused at an intermediate OXC, which will cause the burst to be lost. It has been demonstrated that in order to keep the burst loss rate within acceptable levels, the per wavelength utilization has to be very low [10]. Burst loss is a characteristic that we would like to avoid especially in high QoS demanding e-science applications such as particle physics [12].…”

Performance Analysis of an Optical Packet Switch Employing Full/Limited Range Share Per Node Wavelength Conversion

“…In limited range wavelength conversion, a packet arriving on a wavelength can be converted to a fixed set of wavelengths above and below the original wavelength. Such converters are called Limited Range TWCs (LR-TWC) [4]. For LRTWCs, conversion degree d is defined as the total number of wavelengths available on both sides of the original wavelength for conversion purposes.…”