alysis of [1] gives an expression for the normalized throughput at saturation Tout/Tin as the ratio between the average number of input packet in a slot (equal to N) and the average number of packets that exit from the fabric in the same slot (Tout). The through- put T is evaluated as a function of the switch fabric dimension N of a crossbar switch fabric under the assumptions of synchronous packet arrival and blocked packets discarded. The expression is (E.1) These values are reported besides simulation results in Figure E.2, and the accuracy of the simulation results have been confirmed. In particular, if N is very large (quite frequent case in practice), the limit value for N can be assumed, SO that for large matrixes the saturated throughput does not depend the matrix dimension in a first approximation and is equal to t=1-1~0.632. If packets are resubmitted rather than discarded, the limit of the saturated throughput for large matrixes can be evaluated analytically [2] obtaining (2-V2) = 0.586. Again this agrees closely with the simulation results. Let us consider now the average delay. Simulations for the slotted switch fabric in con- dition of nonsaturated throughput are reported in Figure E.3. In particular, the average delay is reported versus the probability Pin to create a packet in a slot at a certain input of the switch fabric. The first observation is that for N>128, the delay does not depend practically on N: above N = 16, the difference is smaller than 1% and above N=46 smaller than 0.1%. Thus it makes sense to speak of large N delay, and this delay is plotted in Figure E.3 (the practical calculation is made for N = 128). As usual, in similar situations a sort of threshold exists, where the behavior of the delay changes critically. This is the value of the offered traffic that divides the congestion region Appendix E: Space Division Switch Fabric Performance Evaluation Saturated throughput (Tout/Tin) Blocked packets discarded Blocked packets retransmitted Analytical Simulated Switch dimension (log2