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	इन्वेंटरी रूटिंग	विक्रेता-प्रबंधित इन्वेंटरी
क्षेत्र	संचालन प्रबंधन	संचालन प्रबंधन
परिवार	Machine learning	Machine learning
उद्भव वर्ष	2014	2006
प्रवर्तक	Coelho, L. C., Cordeau, J. F., & Laporte, G.	Disney, S. M., & Towill, D. R.
प्रकार	Optimization problem	Business and inventory model
मौलिक स्रोत	Coelho, L. C., Cordeau, J. F., & Laporte, G. (2014). Thirty years of inventory routing. Transportation Research Part B: Methodological, 55, 28-67.	Disney, S. M., & Towill, D. R. (2006). Vendor-managed inventory: A taxonomy of approaches and implications. International Journal of Production Economics, 106(2), 440-456.
उपनाम	IRP, vendor-managed logistics	VMI, supplier-managed inventory
संबंधित	5	5
सारांश	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.	Vendor-Managed Inventory (VMI) is a supply chain arrangement in which the supplier (vendor) has visibility into the customer's inventory levels and assumes responsibility for replenishing inventory to pre-agreed levels. Rather than customers placing orders based on internal forecasts, the supplier monitors actual consumption and triggers replenishment shipments automatically. VMI reduces administrative burden, minimizes stock-outs, improves cash flow (by reducing inventory in the supply chain), and fosters collaboration between supplier and customer.