Questions tagged [network-flow]

For questions related to the formulation or solution methodologies of network flow problems. Some of the well-known network flow problems are maximum flow problem, minimum-cost flow problem, and multi-commodity flow problem.

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17 votes
1 answer
348 views

Was there something specific that caused graph cuts to lose popularity in the last 5 years?

Almost every graph-cut paper I look at seems to have exactly the same pattern of monotonic growth in citations and then monotonic decline starting around 5 years ago: For privacy I've cut the all ...
Nike Dattani's user avatar
  • 1,278
6 votes
1 answer
104 views

Complexity \ Reference request for variant of max flow problem

In the standard max cost flow problem with arc capacities, the cost of using an arc is proportional to the flow through the arc. For example, if $f_{uv}$ is the flow through the arc $(u,v)$, then the ...
batwing's user avatar
  • 1,468
5 votes
4 answers
1k views

How to visit a subset of network nodes in a single trip?

I have a connected network where I want to visit a set of destinations which may require visiting intermediate nodes as well because there may be no direct edge between source and destination nodes. I ...
bsha's user avatar
  • 81
3 votes
1 answer
88 views

Reformulating undirected to directed edges for MCF

As stated in this paper, there is a technique to reformulate a multi-commodity flow problem (MCF) with undirected edges to its equivalent version with directed edges. By quoting them: The ...
Daniele Cuomo's user avatar
2 votes
2 answers
216 views

Min cut network for patients

I'm trying to formulate a min cut algorithm There are two classes of patients: 1, 2, and the maximum number of patients that can be assigned to each bed per day is shown below as well. $$ \begin{array}...
Devita J's user avatar
1 vote
2 answers
123 views

Capacited Vehicle Routing Problem with flow formulations

I'm trying to solve the CVRP based on flow-formulation. In such a model, we have a decision variable with two-index, $x_{ij}$, where I'm using the MTZ formula to eliminate sub-tours. We have then a ...
MAYA's user avatar
  • 129
-1 votes
1 answer
107 views

Grocery Store Problem

I have an issue with my Excel function for a grocery store problem and I am not sure where I messed up the constraints. I have the value of the solution it should be (cost = 8,283). I need to make a ...
zoomonkey101's user avatar