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Aircraft routing under uncertainty via robust optimization

Grant number: 19/22235-6
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): March 01, 2020
Effective date (End): August 07, 2022
Field of knowledge:Engineering - Production Engineering - Operational Research
Principal Investigator:Pedro Augusto Munari Junior
Grantee:Rafael Ajudarte de Campos
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Associated research grant:16/01860-1 - Cutting, packing, lot-sizing, scheduling, routing and location problems and their integration in industrial and logistics settings, AP.TEM

Abstract

This project addresses the robust vehicle routing problem (RVRP), focusing on the development of mathematical models and solution methods to incorporate uncertainties regarding travel time and demand existence. We intend to address a practical variant, the aircraft routing problem, motivated by a real case of an on-demand airline company. Features such as heterogeneous vehicle fleet, time windows, maintenance requests and crew journey rules will be incorporated into robust optimization models that allow for the variability of uncertain parameters to be addressed. In particular, a new type of commodity flow model formulation, not yet explored in the robust optimization literature, even in the classic case, will be investigated. Thus, in addition to contributions to aircraft routing, it is believed that the model to be proposed is also suitable for the resolution of classic variants of RVRP. To assist in obtaining feasible solutions in short computational time, a meta-heuristic that also takes into account the uncertainties of the input data should be proposed. The proposed approaches will be computationally implemented and analyzed through computational experiments using instances from the literature and actual company data. Hence, it is expected to contribute to the scientific literature by proposing new models and solution methods for the relatively unexplored classic RVRP variants with uncertainties in travel time and existence of demand, in addition to the potential for practical contributions involving aircraft routing, due to interaction with industry and the possibility of analysis of results in collaboration with the studied company. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DE CAMPOS, RAFAEL AJUDARTE; VIEIRA, THIAGO; MUNARI, PEDRO; MES, M; LALLARUIZ, E; VOSS, S. A Branch-and-Cut Algorithm for Aircraft Routing with Crew Assignment for On-Demand Air Transportation. COMPUTATIONAL LOGISTICS (ICCL 2021), v. 13004, p. 16-pg., . (19/22235-6, 16/01860-1, 20/11602-5, 19/23596-2)
CRUZ, CESAR ALVAREZ; COSTA, ALYSSON M.; MUNARI, PEDRO; MORABITO, REINALDO. The vehicle allocation problem: Alternative formulation and branch-and-price method. Computers & Operations Research, v. 144, p. 18-pg., . (19/22235-6, 16/01860-1)
CAMPOS, RAFAEL A.; CAUNHYE, AAKIL M.; ALEM, DOUGLAS; MUNARI, PEDRO. Fragility-based lot-sizing in veterinary pharmaceutical plants under demand uncertainty. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, v. N/A, p. 37-pg., . (19/23596-2, 19/22235-6, 16/01860-1, 13/07375-0)

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