圖論和網(wǎng)絡(luò)流優(yōu)化概念(編輯修改稿)
2025-08-21 03:44 本頁面
【文章內(nèi)容簡介】 端點。 用圖來模擬一個鎮(zhèn)的街道，標(biāo)示紅色的路口有奇數(shù)條路通過。 旅行商問題 Traveling salesman problem A salesperson has to visit cities 1, 2,..n, and his/her trip begins at, and must end in, Home City. Let Cij be the cost of traveling from city i to city j, which is given. The problem is to determine an optimal order for traveling the cities so that the total cost is minimized. 運輸問題 Transportation Problem ? Transportation models play an important role in logistics and supply chain management for reducing cost and improving service. Therefore, the goal is to find the most cost effective way to transport the shipper having m warehouses with supply ai of goods at his ith warehouse must ship goods to n geographically dispersed retail centers, each with a given customer demand ej, which must be met. The objective is to determine the minimum possible transportation costs given the unit cost of transportation between the ith warehouse and the jth retail center is Cij. Maximum Flow Problem ? In a work with flow capacities on the arcs, the problem is to determine the maximum possible flow from the source to the sink while honoring the arc flow capacities. Consider a work with m nodes and n arcs with a single modity flow. Denote the flow along arc (i to j) by Xij. We associate with each arc a flow capacity, kij. In such a work, we wish to find the maximum total flow in the work, F, from node l to node m. Maximum Flow Problem ? In the LP formulation, the objective is to maximize F. The amount that leaves the origin by various routes. For every intermediate node, what es in
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