  In previous work [1], three TAIJI orbital deployments have been proposed to
compose alternative LISA-TAIJI networks, TAIJIm (leading the Earth by
$20^\circ$ and $-60^\circ$ inclined with respect to ecliptic plane), TAIJIp
(leading the Earth by $20^\circ$ and $+60^\circ$ inclined), TAIJIc (colocated
and coplanar with LISA) with respect to the LISA mission (trailing the Earth by
$20^\circ$ and $+60^\circ$ inclined). And the LISA-TAIJIm network has been
identified as the most capable configuration for massive black hole binary
observation. In this work, we examine the performance of three networks to the
stochastic gravitational wave background (SGWB) especially for the comparison
of two eligible configurations, LISA-TAIJIm and LISA-TAIJIp. This investigation
shows that the detectability of LISA-TAIJIm is competitive with the LISA-TAIJIp
network for some specific SGWB spectral shapes. And the capability of
LISA-TAIJIm is also identical to LISA-TAIJIp to separate the SGWB components by
determining the parameters of signals. Considering the performances on SGWB and
massive black hole binaries observations, the TAIJIm could be recognized as an
optimal option to fulfill joint observations with LISA.
