The Gain of Performance of Optical WDM Networks

Table 1

The blocking probability model for uniform link load.

	Single-fiber WDM network path $F=1$		Mutlifiber WDM network path $F>1$
No $(k=1)$	$P_{b,\text{no}}={\left[1-{(1-\rho )}^H\right]}^W$	(2a)	$P_{b,\text{no}}^{\prime }={\left[1-{(1-{\rho }^F)}^H\right]}^W$	(2d)
Full $(k=W)$	$P_{b,\text{full}}=1-{(1-{\rho }^W)}^H$	(2b)	$P_{b,\text{full}}^{\prime }=1-{(1-{\rho }^{F\cdot W})}^H$	(2e)
Lim $(1<k<W)$	$P_{b,\lim }={\left[1-{(1-{\rho }^k)}^H\right]}^{W/k}$	(2c)	$P_{b,\lim }^{\prime }={\left[1-{(1-{\rho }^{F\cdot k})}^H\right]}^{W/k}$	(2)