Reach of Fermilab Tevatron upgrades in gauge-mediated supersymmetry breaking models

We examine signals for sparticle production at the Fermilab Tevatron within the framework of gauge-mediated supersymmetry breaking models for four different model lines, each of which leads to qualitatively different signatures. We identify cuts to enhance the signal above standard model backgrounds, and use ISAJET to evaluate the supersymmetry reach of experiments at the Fermilab Main Injector and at the proposed TeV33. For the model lines that we have examined, we find that the reach is at least as large, and frequently larger, than in the minimal supergravity framework. For two of these model lines, we find that the ability to identify b-quarks and $\tau$-leptons with high efficiency and purity is essential for the detection of the signal.