This paper deals with the Kanban method of production control used initially by Toyota Motors to replace traditional reorder point and economic lot size techniques. The method has had considerable practical success and various researchers have developed models to help production planners to choose various parameters associated with the method, principally the number of Kanban cards at a workstation and the size of the Kanban-lots. This paper reviews optimisation models of Kanban-based systems covering serial production lines, bottleneck workstations, assembly job-shop production.
European Journal of Operational Research
Sprott School of Business

Price, W. (Wilson), Gravel, M. (Marc), & Nsakanda, A. (1994). A review of optimisation models of Kanban-based production systems. European Journal of Operational Research, 75(1), 1–12. doi:10.1016/0377-2217(94)90182-1