Maximum Flow Problem in Ethiopian Airlines
Haftom Gebreanenya
Abstract
Open-access reader
Haftom Gebreanenya
Abstract
Open-access reader
Maximum flow problem is a problem which involves a directed network with arcs carrying flow. The problem is to find the maximum flow that can be sent through the arcs of the network from some specified node S, called the source, to a second specified node T, called the sink. In this paper we are going to see what maximum flow problem is and its solution algorithm called the Ford and Fulkerson algorithm. This paper also contains a problem of maximum flow problem in Ethiopian Airlines solved using the Ford and Fulkerson algorithm.
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Maximum flow problem is a problem which involves a directed network with arcs carrying flow. The problem is to find the maximum flow that can be sent through the arcs of the network from some specified node S, called the source, to a second specified node T, called the sink. In this paper we are going to see what maximum flow problem is and its solution algorithm called the Ford and Fulkerson algorithm. This paper also contains a problem of maximum flow problem in Ethiopian Airlines solved using the Ford and Fulkerson algorithm.
Key concepts: Maximum flow problem, Flow network, Minimum-cost flow problem, Out-of-kilter algorithm, Mathematics, Multi-commodity flow problem, Flow (mathematics), Mathematical optimization