Analysis of an asynchronous optical buffer

We investigate the behaviour of an asynchronous optical buffer by means of a continuoustime queueing model. Through a limit procedure, previously obtained results for a discretetime queueing model are translated to a continuous-time setting. We also show that the same results can be obtained by a direct analysis using Laplace transforms. Closed-form expressions are obtained for the two important cases of exponentially distributed burst sizes and deterministic burst sizes. The performance of asynchronous optical buffers shows the same characteristics as that of synchronous optical buffers: a reduction in throughput due to the creation of voids on the outgoing channel and a burst loss probability that is strongly influenced by the choice of fiber delay line granularity. The optimal value of the latter depends on the burst size distribution and the offered load.

[1]  Biswanath Mukherjee,et al.  Advances in photonic packet switching: an overview , 2000, IEEE Commun. Mag..

[2]  Jonathan S. Turner,et al.  Terabit burst switching , 1999, J. High Speed Networks.

[3]  D. Blumenthal.  Photonic packet switching and optical label swapping , 2001 .

[4]  Leonard Kleinrock,et al.  Queueing Systems: Volume I-Theory , 1975 .

[5]  Herwig Bruneel,et al.  Analysis of a single-wavelength optical buffer , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[6]  Jan Cornelis Walraven Van Ommeren,et al.  Asymptotic analysis of queueing systems , 1989 .

[7]  Lin Li.  DESIGN AND OPTIMIZATION OF PACKET SWITCHING AND TRAFFIC GROOMING IN WDM OPTICAL NETWORKS , 2003 .

[8]  Franco Callegati,et al.  Optical buffers for variable length packets , 2000, IEEE Communications Letters.

[9]  Dieter Fiems,et al.  Discrete time queueing analysis of a fibre delay line structure with granularity , 2004 .

[10]  Guido Henri Marguerite Petit,et al.  The impact of burstification on TCP throughput in optical burst switching networks , 2003 .

[11]  George N. Rouskas,et al.  Techniques for optical packet switching and optical burst switching , 2001, IEEE Commun. Mag..

[12]  Bruno Lavigne,et al.  Transparent optical packet switching: the European ACTS KEOPS project approach , 1998 .

[13]  Herwig Bruneel,et al.  Sustainable load of fibre delay line buffers , 2004 .

[14]  Yijun Xiong,et al.  Control architecture in optical burst-switched WDM networks , 2000, IEEE Journal on Selected Areas in Communications.

[15]  Herwig Bruneel,et al.  Discrete-time models for communication systems including ATM , 1992 .