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  5. Optimal Network Design for the Spread of Cascades

Optimal Network Design for the Spread of Cascades

File(s)
cascades-TR-apr2010.pdf (734.78 KB)
Main tech report
Permanent Link(s)
https://hdl.handle.net/1813/14917
Collections
Computing and Information Science Technical Reports
Author
Sheldon, Daniel
Dilkina, Bistra
Elmachtoub, Adam
Finseth, Ryan
Sabharwal, Ashish
Conrad, Jon
Gomes, Carla P.
Shmoys, David
Allen, Will
Amundsen, Ole
Vaughan, Buck
Abstract

We introduce a new optimization framework to maximize the expected spread of cascades in networks. Our model allows a rich set of actions that directly manipulate cascade dynamics by adding nodes or edges to the network. Our motivating application is one in spatial conservation planning, where a cascade models the dispersal of wild animals through a fragmented landscape. We propose a mixed integer programming (MIP) formulation that combines elements from network design and stochastic optimization. Our approach, evaluated on data obtained from a red-cockaded woodpecker (RCW) conservation effort in southeastern United States, results in solutions with stochastic optimality guarantees and points to conservation strategies that are fundamentally different from naive approaches.

Date Issued
2010-04-10T21:30:49Z
Keywords
computational sustainability
•
diffusion in networks
•
conservation planning
•
red-cockaded woodpecker
•
RCW
•
social networks
•
mixed-integer programming
•
sample average approximation
•
optimization
Type
technical report

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