قارن الطرق
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| نماذج التخصيص والمواقع× | مسألة توجيه المركبات (VRP)× | |
|---|---|---|
| المجال≠ | التحليل المكاني | التحسين |
| العائلة | Process / pipeline | Process / pipeline |
| سنة النشأة≠ | 1963 | 1959 |
| صاحب الطريقة≠ | Leon Cooper; S. L. Hakimi | George Dantzig & John Ramser |
| النوع≠ | Spatial facility-location optimization | Combinatorial optimization problem |
| المصدر التأسيسي≠ | Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗ | Dantzig, G. B., & Ramser, J. H. (1959). The truck dispatching problem. Management Science, 6(1), 80–91. DOI ↗ |
| الأسماء البديلة | facility location, p-median problem, maximal covering location problem, yer-tahsis modelleri | Capacitated Vehicle Routing Problem, Fleet Routing Problem, Multi-Vehicle Routing Problem, Araç Rotalama Problemi |
| ذات صلة≠ | 4 | 3 |
| الملخص≠ | Location-allocation models decide where to place a set of facilities and simultaneously assign demand points to them so as to optimize an objective such as total travel cost, worst-case distance, or population covered. Rooted in the operations-research work of Cooper (1963) and Hakimi (1964) and central to network GIS, they answer questions like where to site warehouses, hospitals, fire stations, or schools to best serve a spatially distributed population. | The Vehicle Routing Problem (VRP) seeks the minimum-cost set of routes for a fleet of vehicles to serve a collection of geographically dispersed customers, each with a known demand, departing from and returning to a central depot. Originally formulated as the Truck Dispatching Problem by Dantzig and Ramser in 1959, VRP is a foundational model in logistics, supply chain management, and operations research, applicable whenever goods or services must be delivered efficiently across multiple stops. |
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