The ubiquity of the cell switching technique is a clear indication of its c
ontinued importance for the future of telecommunications worldwide, The per
formance of shared buffers in cell switches provides substantial improvemen
t over switches with separate output buffers. The conventional approach to
shared buffer analysis is numerical convolution; however recent work provid
es an analytical solution based on the Chernoff bound. In this letter we de
velop a new closed-form expression for the cell loss probability in the sha
red buffer that offers superior accuracy, enhanced simplicity, and better g
enerality.