Example of a Minimum Cost Capacitated Flow Problem

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I am struggling to find an example with a solution for a Minimum Cost Capacitated Flow problem. My network is defined as a graph G = (V, E), where each edge has a capacity c(u, v) > 0, a flow f(u, v) >= 0, and a cost a(u, v). The solution must show a minimum cost using the maximum capacity of the network edges. The wikipedia (https://en.wikipedia.org/wiki/Minimum-cost_flow_problem) does not have any example.
Do you know where I can find an example of this.



Thanks,
Felipe




linear-programming network-flow optimal-transport




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  • I think youtube.com/watch?v=IAJBm-AogQE works through an example.
    – Gerry Myerson
    Jul 18 at 9:46






  • 1




    it is a good example, but it considers only cost unfortunately with no capacity for the edges still.
    – Felipe Oliveira Gutierrez
    Jul 18 at 10:39














up vote
0
down vote

favorite












I am struggling to find an example with a solution for a Minimum Cost Capacitated Flow problem. My network is defined as a graph G = (V, E), where each edge has a capacity c(u, v) > 0, a flow f(u, v) >= 0, and a cost a(u, v). The solution must show a minimum cost using the maximum capacity of the network edges. The wikipedia (https://en.wikipedia.org/wiki/Minimum-cost_flow_problem) does not have any example.
Do you know where I can find an example of this.



Thanks,
Felipe




linear-programming network-flow optimal-transport




share|cite|improve this question



















  • I think youtube.com/watch?v=IAJBm-AogQE works through an example.
    – Gerry Myerson
    Jul 18 at 9:46






  • 1




    it is a good example, but it considers only cost unfortunately with no capacity for the edges still.
    – Felipe Oliveira Gutierrez
    Jul 18 at 10:39












up vote
0
down vote

favorite









up vote
0
down vote

favorite











I am struggling to find an example with a solution for a Minimum Cost Capacitated Flow problem. My network is defined as a graph G = (V, E), where each edge has a capacity c(u, v) > 0, a flow f(u, v) >= 0, and a cost a(u, v). The solution must show a minimum cost using the maximum capacity of the network edges. The wikipedia (https://en.wikipedia.org/wiki/Minimum-cost_flow_problem) does not have any example.
Do you know where I can find an example of this.



Thanks,
Felipe




linear-programming network-flow optimal-transport




share|cite|improve this question











I am struggling to find an example with a solution for a Minimum Cost Capacitated Flow problem. My network is defined as a graph G = (V, E), where each edge has a capacity c(u, v) > 0, a flow f(u, v) >= 0, and a cost a(u, v). The solution must show a minimum cost using the maximum capacity of the network edges. The wikipedia (https://en.wikipedia.org/wiki/Minimum-cost_flow_problem) does not have any example.
Do you know where I can find an example of this.



Thanks,
Felipe





linear-programming network-flow optimal-transport





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Jul 18 at 8:22









Felipe Oliveira Gutierrez

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  • I think youtube.com/watch?v=IAJBm-AogQE works through an example.
    – Gerry Myerson
    Jul 18 at 9:46






  • 1




    it is a good example, but it considers only cost unfortunately with no capacity for the edges still.
    – Felipe Oliveira Gutierrez
    Jul 18 at 10:39
















  • I think youtube.com/watch?v=IAJBm-AogQE works through an example.
    – Gerry Myerson
    Jul 18 at 9:46






  • 1




    it is a good example, but it considers only cost unfortunately with no capacity for the edges still.
    – Felipe Oliveira Gutierrez
    Jul 18 at 10:39















I think youtube.com/watch?v=IAJBm-AogQE works through an example.
– Gerry Myerson
Jul 18 at 9:46




I think youtube.com/watch?v=IAJBm-AogQE works through an example.
– Gerry Myerson
Jul 18 at 9:46




1




1




it is a good example, but it considers only cost unfortunately with no capacity for the edges still.
– Felipe Oliveira Gutierrez
Jul 18 at 10:39




it is a good example, but it considers only cost unfortunately with no capacity for the edges still.
– Felipe Oliveira Gutierrez
Jul 18 at 10:39















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