Benefit from the experience of Flavius Ștef and Alexandru Bolboacă with using and helping companies adopt Lean/Kanban to learn more about it. We will start with an introduction, maybe play a game and answer your questions.
Kanban is a scheduling system for lean (http://en.wikipedia.org/wiki/Lean_manufacturing) and just-in-time (http://en.wikipedia.org/wiki/Just_In_Time_%28business%29) (JIT) production. Kanban is a system to control the logistical (http://en.wikipedia.org/wiki/Logistical) chain from a production point of view, and is not an inventory control system (http://en.wikipedia.org/wiki/Inventory_control_system). Kanban was developed by Taiichi Ohno (http://en.wikipedia.org/wiki/Taiichi_Ohno), at Toyota (http://en.wikipedia.org/wiki/Toyota), to find a system to improve and maintain a high level of production. Kanban is one method through which JIT is achieved.
Kanban became an effective tool in support of running a production system as a whole, and it proved to be an excellent way for promoting improvement. Problem areas were highlighted by reducing the number of kanban in circulation.
Description taken from http://en.wikipedia.org/wiki/Kanban