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Research output: Contribution to Journal/Magazine › Review article › peer-review
Research output: Contribution to Journal/Magazine › Review article › peer-review
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TY - JOUR
T1 - A survey on exact algorithms for the maximum flow and minimum-cost flow problems
AU - Cruz Mejía, Oliverio
AU - Letchford, Adam
PY - 2023/9/30
Y1 - 2023/9/30
N2 - Network flow problems form an important and much‐studied family of combinatorial optimization problems, with a huge array of practical applications. Two network flow problems in particular have received a great deal of attention: the maximum flow and minimum‐cost flow problems. We review the progress that has been made on exact solution algorithms for these two problems, with an emphasis on worst‐case running times.
AB - Network flow problems form an important and much‐studied family of combinatorial optimization problems, with a huge array of practical applications. Two network flow problems in particular have received a great deal of attention: the maximum flow and minimum‐cost flow problems. We review the progress that has been made on exact solution algorithms for these two problems, with an emphasis on worst‐case running times.
KW - combinatorial optimisation
KW - network flows
U2 - 10.1002/net.22169
DO - 10.1002/net.22169
M3 - Review article
VL - 82
SP - 167
EP - 176
JO - Networks
JF - Networks
SN - 0028-3045
IS - 2
ER -