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A Lagrangian approach to Chance Constrained Routing with Local Broadcast

Cacciola, Matteo and Frangioni, Antonio and Galli, Laura and Stea, Giovanni (2020) A Lagrangian approach to Chance Constrained Routing with Local Broadcast. Technical Report del Dipartimento di Informatica, TR . University of Pisa, Pisa, IT. (Submitted)

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Mobile cellular networks play a pivotal role in emerging Internet of Things (IoT) applications, such as vehicular collision alerts, malfunctioning alerts in Industry-4.0 manufacturing plants, periodic distribution of coordination information for swarming robots or platooning vehicles, etc. All these applications are characterized by the need of routing messages within a given local area (geographic proximity) with constraints about both timeliness and reliability (i.e., probability of reception). This paper presents a Non-Convex Mixed-Integer Nonlinear Programming model for a routing problem with probabilistic constraints on a wireless network. We propose an exact approach consisting of a branch-and-bound framework based on a novel Lagrangian decomposition to derive lower bounds. Preliminary experimental results indicate that the proposed algorithm is competitive with state-of-the-art general-purpose solvers, and can provide better solutions than existing highly tailored ad-hoc heuristics to this problem.

Item Type: Book
Uncontrolled Keywords: Internet of Things, Routing, Broadcast, Chance-Constrained Optimization, Mixed-Integer Nonlinear Programs, Lagrangian relaxation, bundle methods, Branch-and-Bound
Subjects: Area09 - Ingegneria industriale e dell'informazione > ING-INF/05 - Sistemi di elaborazione delle informazioni
Area01 - Scienze matematiche e informatiche > MAT/09 - Ricerca operativa
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI INFORMATICA
Depositing User: Prof. Antonio Frangioni
Date Deposited: 08 Sep 2020 08:47
Last Modified: 15 Nov 2021 08:00
URI: http://eprints.adm.unipi.it/id/eprint/2395

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