Flows In Networks Under Fuzzy Conditions (studies In Fuzziness And Soft Computing)
by Janusz Kacprzyk /
2016 / English / PDF
7.2 MB Download
This book offers a comprehensive introduction to fuzzy methods
for solving flow tasks in both transportation and networks. It
analyzes the problems of minimum cost and maximum flow finding
with fuzzy nonzero lower flow bounds, and describes solutions to
minimum cost flow finding in a network with fuzzy arc capacities
and transmission costs. After a concise introduction to flow
theory and tasks, the book analyzes two important problems. The
first is related to determining the maximum volume for cargo
transportation in the presence of uncertain network parameters,
such as environmental changes, measurement errors and repair work
on the roads. These parameters are represented here as fuzzy
triangular, trapezoidal numbers and intervals. The second problem
concerns static and dynamic flow finding in networks under fuzzy
conditions, and an effective method that takes into account the
network’s transit parameters is presented here. All in all, the
book provides readers with a practical reference guide to
state-of-the art fuzzy methods for solving flow tasks and offers
a valuable resource for all researchers and postgraduate students
in the fields of network theory, fuzzy models and
decision-making.
This book offers a comprehensive introduction to fuzzy methods
for solving flow tasks in both transportation and networks. It
analyzes the problems of minimum cost and maximum flow finding
with fuzzy nonzero lower flow bounds, and describes solutions to
minimum cost flow finding in a network with fuzzy arc capacities
and transmission costs. After a concise introduction to flow
theory and tasks, the book analyzes two important problems. The
first is related to determining the maximum volume for cargo
transportation in the presence of uncertain network parameters,
such as environmental changes, measurement errors and repair work
on the roads. These parameters are represented here as fuzzy
triangular, trapezoidal numbers and intervals. The second problem
concerns static and dynamic flow finding in networks under fuzzy
conditions, and an effective method that takes into account the
network’s transit parameters is presented here. All in all, the
book provides readers with a practical reference guide to
state-of-the art fuzzy methods for solving flow tasks and offers
a valuable resource for all researchers and postgraduate students
in the fields of network theory, fuzzy models and
decision-making.