Linganisha mbinu

	Njia za Uhifadhi	Usimamizi wa Hisa na Muuzaji
Nyanja	Usimamizi wa Uendeshaji	Usimamizi wa Uendeshaji
Familia	Machine learning	Machine learning
Mwaka wa asili	2014	2006
Mwanzilishi	Coelho, L. C., Cordeau, J. F., & Laporte, G.	Disney, S. M., & Towill, D. R.
Aina	Optimization problem	Business and inventory model
Chanzo asilia	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.
Majina mbadala	IRP, vendor-managed logistics	VMI, supplier-managed inventory
Zinazohusiana	5	5
Muhtasari	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.