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Using a gauged flavor SU(3)-invariant hadronic Lagrangian, we calculate thecross sections for the strangeness-exchange reactions YY to N\Xi (Y=\Lambda,\Sigma) in the Born approximation. These cross sections are then used in theRelativistic Vlasov-Uehling-Uhlenbeck (RVUU) transport model to study \Xiproduction in Ar+KCl collisions at incident energy of 1.76A GeV and impactparameter b=3.5 fm. We find that including the contributions of hyperon-hyperonscattering channels strongly enhances the yield of \Xi, leading to theabundance ratio \Xi^{-}/(\Lambda+\Sigma^{0})=3.38E-3, which is essentiallyconsistent with the recently measured value of $(5.6 \pm1.2_{-1.7}^{+1.8})\times 10^{-3}$ by the HADES collaboration at GSI.

Contributions of hyperon-hyperon scattering to subthreshold cascade production in heavy ion collisions