A matheuristic for the firefighter problem on graphs
نویسندگان
چکیده
منابع مشابه
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We show that the firefighter problem is NP-complete for cubic graphs. We also show that given a rooted tree of maximum degree three in which every leaf is the same distance from the root, it is NPcomplete to decide whether or not there is a strategy that protects every leaf from the fire, which starts at the root. By contrast, we describe a polynomial time algorithm to decide if it is possible ...
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We consider a dynamic problem introduced by B. Hartnell in 1995 [4]. Let (G, r) be a connected rooted graph (where r ∈ V (G)). At time 0, a fire breaks out at r. At each subsequent time interval, the firefighter defends some vertex which is not on fire, and then the fire spreads to all undefended neighbours of each burning (i.e., on fire) vertex. Once defended, a vertex remains so for all time ...
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The dynamics of infectious diseases spread is crucial in determining their risk and offering ways to contain them. We study sequential vaccination of individuals in networks. In the original (deterministic) version of the Firefighter problem, a fire breaks out at some node of a given graph. At each time step, b nodes can be protected by a firefighter and then the fire spreads to all unprotected...
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ژورنال
عنوان ژورنال: International Transactions in Operational Research
سال: 2019
ISSN: 0969-6016,1475-3995
DOI: 10.1111/itor.12638