Although lot production can improve system throughput, a large lot will increase the lead time because of the long wait- ing time. In a multi-product system,the lead time are highly affected by lot sizes and production rate. Koo et al (2011) ' s work that simultaneously determine lot size and production rate in a single workstation environment was extended. The G/M/m model was used to settle a lot sizing problem in multiple workstations production environment. The lead time was redefined to improve the accuracy of model. An upper bound on ea...