We extend a previously reported model (Chu, W. B.; Constantinides, A. Biotechnol. Bioeng. 1988, 32, 277-288) for the batch fermentation of cephalosporin C under the diauxic growth of Cephalosporium acremonium on glucose and sucrose to a fed-batch system. For this purpose, a novel lag model is proposed for diauxie, which has two functional forms, each embodying the dependence of lag on total cell mass and secondary substrate concentration. This lag model is applicable for batch simulations for arbitrary initial glucose and sucrose concentrations. We used the previously reported batch data to perform locally optimized fed-batch simulations. When applied to fed-batch fermentations, multiple lag times were accounted for. These studies showed that fed-batch fermentations (under the restriction that cell mass concentration did not exceed 25 g/L) could be more productive than simple batch runs. A representative result for a glucose-pulse fed-batch run at optimal cephalosporin production is a productivity of 4.22 mg of cephalosporin C/(L . h) and a production yield of 9.25 mg of cephalosporin C/g of total sugar used.