
doi: 10.1002/net.22131
AbstractIn this article, we consider the problem of optimizing the connectivity of a landscape under a budget constraint, by improving habitat areas and ecological corridors between them. We model this problem as a discrete optimization problem over graphs, in which vertices represent the habitat areas and arcs represent the connections between them. We propose a new flow‐based integer linear programming formulation that improves upon the existing models for this problem. By following an approach similar to Catanzaro et al. for the robust shortest path problem, we design an improved preprocessing algorithm that reduces the size of the graphs on which we compute generalized flows. Computational experiments show the benefits of both contributions, by enabling to solve instances of the problem larger than previous models. These experiments also show that several versions of greedy algorithms perform relatively well in practice, while returning arbitrarily bad solutions in the worst case.
shortest path, Combinatorial optimization, network flow, environment and climate change, linear programming, [INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS], Integer programming, landscape connectivity, Programming involving graphs or networks, mixed integer linear programming, distances in graphs, [INFO.INFO-RO] Computer Science [cs]/Operations Research [math.OC], [SDE.BE] Environmental Sciences/Biodiversity and Ecology, Environment and climate change, Linear programming, combinatorial optimization, robust shortest path, generalized network flow
shortest path, Combinatorial optimization, network flow, environment and climate change, linear programming, [INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS], Integer programming, landscape connectivity, Programming involving graphs or networks, mixed integer linear programming, distances in graphs, [INFO.INFO-RO] Computer Science [cs]/Operations Research [math.OC], [SDE.BE] Environmental Sciences/Biodiversity and Ecology, Environment and climate change, Linear programming, combinatorial optimization, robust shortest path, generalized network flow
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