Demand variability and high competitiveness in the manufacturing sector have influenced companies to adopt different tools to optimize their inventory control. The Kanban tool offers a reduction of minimum inventory levels and increased production flexibility. This study covers the design, application, and validation of a Kanban control system and a milk-run distribution system in a kitchen manufacturer company in Peru. The main problem faced by the company is the high index of work in progress (WIP) generated by the bottleneck of the productive flow. This is caused mainly by the absence of a flow system that allows control of the production. This problem amounts to a monthly cost of approximately 53,272. In this study, a pilot is implemented in the production line to evaluate the results obtained and, in parallel, a simulation system is designed to evaluate the long-term results. From the results obtained, it can be concluded that the application of the proposed tools will reduce the WIP of each component produced, avoiding overproduction and optimizing costs.