Performance analysis of limited-range wavelength conversion in an OBS switch

Puttasubbappa, Vishwas S.; Perros, Harry G.

doi:10.1007/s11235-006-6522-x

Cited by 18 publications

(13 citation statements)

References 14 publications

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“…In these studies, as well as in the present paper, the converters are assumed to have full-range conversion, i.e., a burst can be converted to any wavelength. The case where the bursts can only be converted to a restricted set of wavelengths has been treated in [2,6,15,14]. It must be noted that a five-page version of this paper was presented in [13], where only an overview of the model and a few results were put forward.…”

Section: Related Workmentioning

confidence: 99%

“…In particular we consider an ON-OFF process with two states, where in one state the process generates arrivals with geometric IATs while in the other state no arrivals are generated. This kind of arrival process has been previously used to model the arrival process in an optical switch [15,19,20]. The duration of the ON and OFF periods (the sojourn time of the chain in each state) is geometrically distributed with the mean duration of the OFF periods being κ times that of the ON periods.…”

Section: Effect Of the Arrival Process' Burstinessmentioning

confidence: 99%

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The effect of partial conversion and fiber delay lines in an OBS switch with a large number of wavelengths

Pérez

Houdt

2010

Photon Netw Commun

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In this paper, we analyze an optical burst switching (OBS) switch endowed with both wavelength converters (WCs) and fiber delay lines (FDLs) to resolve contention. We consider the case where the number of wavelengths is large by introducing a mean field model that provides exact results when the number of wavelengths tends to infinity. We have confirmed through simulations that the mean field model provides accurate approximations for switches with a large but finite number of wavelengths, which are of interest in view of wavelength division multiplexing (WDM). Furthermore, our model allows a very general behavior for the arrival process and the packet size distribution, as well as two different wavelength allocation policies: minimum horizon and minimum gap. Our results include a detailed analysis of the effect that these parameters have on the burst loss rate, and on the minimum number of WCs required to attain a zero loss rate as the number of wavelengths becomes large. We have found that at high loads there is little value in adding FDLs and, if included, shorter granularities result in fewer WCs required to achieve a zero loss rate. The inclusion of FDLs becomes more significant under mid loads and bursty traffic, where the addition of several FDLs may reduce the conversion requirements. Also, increasing the number of WCs under the minimum horizon policy may worsen the This work has been supported by the FWO-Flanders through project "Stochastic modeling of optical buffers and switching systems based on Fiber Delay Lines" (G.0538.07). loss rate, while this is never the case for the minimum gap policy.

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Section: Related Workmentioning

confidence: 99%

Section: Effect Of the Arrival Process' Burstinessmentioning

confidence: 99%

The effect of partial conversion and fiber delay lines in an OBS switch with a large number of wavelengths

Pérez

Houdt

2010

Photon Netw Commun

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“…Furthermore, limitedrange wavelength conversion usually implies a more intricate interaction between adjacent wavelengths. This topic has been considered in [2,5,13] for the bufferless case relying on (approximate) analytical models. More precisely, for exponential packet sizes, the lack of buffers allows an exact solution for the full range conversion case.…”

Section: Introductionmentioning

confidence: 99%

Wavelength allocation in an optical switch with a fiber delay line buffer and limited-range wavelength conversion

Pérez

Houdt

2009

Telecommun Syst

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This paper presents an approach to evaluate the performance of an optical switch equipped with both limited-range wavelength conversion and Fiber Delay Lines to resolve contention. We propose an analytical model that allows a general behavior for the packet size distribution while the inter-arrival times are assumed to be of PhaseType and can easily be relaxed to be generally distributed if needed. As the set of reachable wavelengths is a major issue in limited-range wavelength conversion, we first focus on a simple wavelength set configuration that allows the comparison of different policies and their effect on the loss rate of the system. In addition, a linear association between the loss rate of the simple and a more complex set configuration is identified. Using this association and the results from the analytical model, we derive an approximation for the more complex case, where the interactions among adjacent wavelengths play an important role. The approximation works well for different parameter instances and is particularly useful for the mid load case, when simulations become computationally prohibitive. This work has been supported by the FWO-Flanders through project "Stochastic modeling of optical buffers and switching systems based on Fiber Delay Lines" (G.0538.07).

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“…In [8], the authors provide an approximate method for SPL type converter sharing using LRTWCs again using Markov chains and show that far conversion policies provide better performance when compared with random or near conversion policies for SPL type conversion. In [9], a product form solution is given for the special cases of d = 2 and d = 4 whereas an approximation technique is presented for more general scenarios for SPL type converter sharing. Studies on limited range wavelength conversion but for synchronous optical packet switching systems are more mature [10].…”

Section: Introductionmentioning

confidence: 99%

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

Akar

Karasan

Muretto³

et al. 2007

IEEE GLOBECOM 2007-2007 IEEE Global Telecommunications Conference

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Abstract-In this paper, we study an asynchronous optical packet switching node equipped with a number of limited range or full range wavelength converters shared per node. The packet traffic is realistically modeled by a superposition of a finite number of on-off sources as opposed to the traditional Poisson model which ignores the limited number of ports on a switch. We both study circular and non-circular limited range wavelength conversion schemes. In our simulations, we employ the far conversion policy where the optical packet is switched onto the farthest available wavelength in the tuning range, which is known to outperform the random conversion policy. We propose an approximate analytical method based on block tridiagonal Markov chains and fixed point iterations to solve for the blocking probabilities in share per node wavelength conversion systems. The method provides an accurate approximation for full range systems and acceptable results for limited range systems.

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Performance analysis of limited-range wavelength conversion in an OBS switch

Cited by 18 publications

References 14 publications

The effect of partial conversion and fiber delay lines in an OBS switch with a large number of wavelengths

The effect of partial conversion and fiber delay lines in an OBS switch with a large number of wavelengths

Wavelength allocation in an optical switch with a fiber delay line buffer and limited-range wavelength conversion

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

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