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Minimum Cost Flows

2000
In this chapter we show how we can take edge costs into account. For example, in our application of the MAXIMUM FLOW PROBLEM to the JOB ASSIGNMENT PROBLEM mentioned in the introduction of Chapter 8 one could introduce edge costs to model that the employees have different salaries; our goal is to meet a deadline when all jobs must be finished at a ...
Bernhard Korte, Jens Vygen
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Minimum-Cost Flows in Unit-Capacity Networks

Theory of Computing Systems, 2017
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Andrew V. Goldberg   +3 more
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Minimum-Cost Flows

2009
Recall application 5 (page 4), modeled by the network in Fig. 1.2. If we consider the edge costs as distances we can compute the optimal production plan for period j as a shortest path. If we have capacities on the edges as well, the problem becomes a combination of a shortest path and a flow problem called a min-cost-flow-problem, which is the kind of
Winfried Hochstättler   +1 more
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Minimum cost flow‐dependent communication networks

Networks, 2006
AbstractIn the construction of a communication network, the (Euclidean) length of the network is an important but not unique factor determining the cost of the network. Among many possible network models, Gilbert proposed a flow‐dependent model in which flow demands are assigned between each pair of points in a given point set A, and the cost per unit ...
Doreen A. Thomas, Jia F. Weng
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Minimum cost multi-product flow lines

Annals of Operations Research, 2006
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ALFIERI, Arianna, G. NICOSIA
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Minimum-Cost Multicommodity Network Flows

Operations Research, 1966
The minimum-cost multicommodity network flow problem is formulated in both node-arc and arc-chain form, leading to very large linear programs. The special structure of these programs is utilized in algorithms for their solution.
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On dual minimum cost flow algorithms

Mathematical Methods of Operations Research (ZOR), 2002
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Uncertain minimum cost flow problem

Soft Computing, 2013
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Minimum cost dynamic flows: The series-parallel case

Networks, 1995
AbstractA dynamic network consists of a directed graph with capacities, costs, and integral transit times on the arcs. In the minimum‐cost dynamic flow problem (MCDFP), the goal is to compute, for a given dynamic network with source s, sink t, and two integers v and T, a feasible dynamic flow from s to t of value v, obeying the time bound T, and having
Klinz, Bettina, Woeginger, Gerhard
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Minimum-Cost Flow Problems

1991
The minimum-cost flow problem defined on a directed graph G = (V,A) is that of finding a feasible flow of minimum cost. In addition to the maximum flow problem, each arc (i,j) e A has associated an integer c(i,j) referred to as cost per unit of flow. Let b: V ↦ R be the demand-supply vector, where b(j) 0 if j is a destination vertex, and b(j) = 0 for
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