Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1
DETERMINING THE MOST VITAL ARCS ON THE SHORTEST PATH FOR FIRE TRUCKS IN TERRORIST ACTIONS THAT WILL CAUSE FIRE
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 441–450
- DOI
- —
Abstract
In case of Öre, the supplying of the water requirements of the Örearea is a vital issue. The water requirements must be satisÖed as quickly aspossible without encountering any obstacles. In the study, once a terroristattack which will cause Öre at certain area (node) is occurred, the situation inwhich the terrorists want to prevent the Öre trucksítransportation to this areavia the shortest path is considered. The main logic of the study is determiningthe risky arc(s) that will interdict and presenting a relatively safety paths forthe Öre trucks. Terrorists wants to maximize the shortest path of Öre trucksdepending on limited interdiction budget. In this context, the problem isconsidered within the framework of the Network Interdiction Problem (NIP),where there are two opposite sides as leader (terrorist) and follower (Öre truck).As a result, the bi-level model of the problem is presented Örst, and the modelis applied on a numerical explanatory example.