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Using the Network Analytical Simulator (NEASIM) computer program, various parameters affecting line-to-line junctor overflow in No. 1 ESS switching networks are studied. These include the line-link network load, the line-to-line junctor load, the number and type of line-to-line junctors, and the line concentration ratio and concentrator type. Based on the results of these simulations, a family of simple fitted blocking formulas, accurate over a wide range of network and junctor loads, are developed. Comparison with field data recently obtained from nine No. 1 ESS offices indicates very good agreement between the NEASIM results and measured performance.