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	Problem trasowania zapasów	Kanban	Planowanie Potrzeb Materiałowych
Dziedzina	Zarządzanie operacyjne	Zarządzanie operacyjne	Zarządzanie operacyjne
Rodzina	Machine learning	Machine learning	Machine learning
Rok powstania	2014	1950	1975
Twórca	Coelho, L. C., Cordeau, J. F., & Laporte, G.	Taiichi Ohno	Joseph Orlicky
Typ	Optimization problem	Production control system	Material planning algorithm
Źródło pierwotne	Coelho, L. C., Cordeau, J. F., & Laporte, G. (2014). Thirty years of inventory routing. Transportation Research Part B: Methodological, 55, 28-67.	Ohno, T. (1988). Toyota production system: Beyond large-scale production. Cambridge, MA: Productivity Press.	Orlicky, J. (1975). Material requirements planning: The new way of life in production and inventory management. New York: McGraw-Hill.
Inne nazwy	IRP, vendor-managed logistics	visual management, pull system	MRP, MRP I
Pokrewne	5	5	5
Podsumowanie	The Inventory Routing Problem (IRP) is an optimization problem that jointly determines inventory levels at customer locations, delivery routes, and shipment quantities to minimize total logistics and inventory holding costs. Rather than treating inventory management and vehicle routing as separate decisions, IRP recognizes that they are interdependent: larger shipments reduce routing costs but increase inventory holding costs, and vice versa. IRP is solved using mixed-integer programming, heuristics, and metaheuristics, and is a cornerstone of vendor-managed inventory (VMI) programs.	Kanban is a pull-based production control system developed by Taiichi Ohno at Toyota in the 1950s that uses visual signals (traditionally cards or bins) to trigger production and movement of materials based on actual demand rather than forecasts. The Japanese word 'kanban' means 'visual card' or 'sign,' and the system operates on the principle that work should flow in response to downstream requirements. Kanban is a foundational element of the Toyota Production System and lean manufacturing, enabling just-in-time production, reduced inventory, and improved flow efficiency.	Material Requirements Planning (MRP) is a computerized system developed by Joseph Orlicky in the 1970s that calculates material requirements based on master production schedules and bill-of-materials data. MRP determines what materials to buy, how much to order, and when to order them to meet production demand while minimizing inventory carrying costs. It became a foundational technology for manufacturing planning and later evolved into manufacturing resource planning (MRP II) and enterprise resource planning (ERP) systems.