Abstract
We consider the problem of optimally designing a body wireless sensor network, while taking into account the uncertainty of data generation of biosensors. Since the related min-max robustness Integer Linear Programming (ILP) problem can be difficult to solve even for state-of-the-art commercial optimization solvers, we propose an original heuristic for its solution. The heuristic combines deterministic and probabilistic variable fixing strategies, guided by the information coming from strengthened linear relaxations of the ILP robust model, and includes a very large neighborhood search for reparation and improvement of generated solutions, formulated as an ILP problem solved exactly. Computational tests on realistic instances show that our heuristic finds solutions of much higher quality than a state-of-the-art solver and than an effective benchmark heuristic.
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Notes
- 1.
We note that we assume that each biosensor \(b \in B\) never acts as a receiver and only generates and transmits data. So we do not characterize the subsets \(B_r, B_s \subseteq B\) of biosensors within the range of a relay r or a sink s. Furthermore, we assume that each sink s never acts as a transmitter and only receives data. So we do not characterize the subsets \(B_s \subseteq B\), \(R_s \subseteq R\) of biosensors and relays within the range of a sink s.
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D’Andreagiovanni, F., Nardin, A., Natalizio, E. (2017). A Fast ILP-Based Heuristic for the Robust Design of Body Wireless Sensor Networks. In: Squillero, G., Sim, K. (eds) Applications of Evolutionary Computation. EvoApplications 2017. Lecture Notes in Computer Science(), vol 10199. Springer, Cham. https://doi.org/10.1007/978-3-319-55849-3_16
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