GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.36, sa.4, 2023 (ESCI)
This study defines a capacitated multiple-source multiple-sink shortest path problem and
introduces its extension, called the capacitated multiple-source multiple-sink shortest path
network interdiction problem (CMSSNIP). CMSSNIP examines the actions of attackers who
attempt to maximize the total shortest path of network users trying to reach the crime locations
for the aid process after causing an incident in certain regions to provide strategic information for
the defense systems of the government. In this context, the exact mathematical model is proposed
to ensure useful information about safe routes to network users. In this manner, to the best
knowledge of authors, the CMSSNIP consisting of multiple-source nodes and multiple-sink nodes
and considering capacity-demand relations between security units and crime locations is studied
for the first time. Consequently, a set of scenarios is considered based on the levels of the
interdiction budget and the number of crime locations through a real case application to show the
applicability of the model. Furthermore, computational experiments are performed to evaluate the
performance of the model in networks of different sizes. It is realized that the model provides
resilient strategies against interdictions in terms of obtaining the safe shortest paths at the
operational level within seconds in the real case applications.