This paper deals with the Kanban method of production control used ini
tially by Toyota Motors to replace traditional reorder point and econo
mic lot size techniques. The method has had considerable practical suc
cess and various researchers have developed models to help production
planners to choose various parameters associated with the method, prin
cipally the number of Kanban cards at a workstation and the size of th
e Kanban-lots. This paper reviews optimisation models of Kanban-based
systems covering serial production lines, bottleneck workstations, ass
embly job-shop production.