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Locating unmanned aircraft systems for multiple missions under different weather conditions

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Abstract

Motivated by the increasing civilian use of Unmanned Aerial Vehicles (UAVs), this paper considers the simultaneous location and routing of UAVs for multiple missions and different weather conditions. We include modeling and computational experience inspired by requirements for air surveillance by the Turkish government’s public agencies. We model these demands in multiple mission areas and consider the impact of different weather conditions on the ability to employ UAVs from different geographic locations. We formulate the problem as a two-stage stochastic integer linear program with recourse and get an optimal solution for realistic test instances in a reasonable amount of time using decomposition by weather and mission combinations. We also introduce an optimization-based heuristic with bounds based on our decomposition for larger test instances.

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References

  • Agatz N, Bouman P, Schmidt M (2015) Optimization approaches for the traveling salesman problem with drone, Tech. Rep., 2015

  • Alighanbari M, Kuwata Y, How JP (2003, June) Coordination and control of multiple UAVs with timing constraints and loitering. In: American control conference, 2003. Proceedings of the 2003. IEEE, vol 6, pp 5311–5316

  • Bone E, Bolkcom C (2003, April) Unmanned aerial vehicles: background and issues for congress. Library of Congress Washington DC Congressional Research Service

  • Dalamagkidis K, Valavanis KP, Piegl LA (2011) On integrating unmanned aircraft systems into the national airspace system: issues, challenges, operational restrictions, certification, and recommendations, vol 54. Springer, Berlin

    Google Scholar 

  • Dorling K, Heinrichs J, Messier GG, Magierowski S (2017) Vehicle routing problems for drone delivery. IEEE Trans Syst Man Cybern Syst 47(1):70–85

    Article  Google Scholar 

  • Drexl M, Schneider M (2015) A survey of variants and extensions of the location-routing problem. Eur J Oper Res 241(2):283–308

    Article  Google Scholar 

  • Eglese R, Bektas T (2014) Green vehicle routing. Vehicle Routing: Probl Methods Appl 18:437

    Article  Google Scholar 

  • Evers L, Dollevoet T, Barros AI, Monsuur H (2014) Robust UAV mission planning. Ann Oper Res 222(1):293–315

    Article  Google Scholar 

  • GAMS, General Algebraic Modeling System, GAMS Development Corporation, www.gams.com. Last accessed 21 May 2017

  • Geng L, Zhang YF, Wang J, Fuh JY, Teo SH (2014) Cooperative mission planning with multiple UAVs in realistic environments. Unmanned Syst 2(01):73–86

    Article  Google Scholar 

  • Gunnarsson H, Rönnqvist M, Carlsson D (2006) A combined terminal location and ship routing problem. J Oper Res Soc 57(8):928–938

    Article  Google Scholar 

  • Ha QM, Deville Y, Pham QD, Hà MH (2015) Heuristic methods for the traveling salesman problem with drone. arXiv preprint arXiv:1509.08764

  • Hausamann D, Zirnig W, Schreier G, Strobl P (2005) Monitoring of gas pipelines-a civil UAV application. Aircr Eng Aerosp Technol 77(5):352–360

    Article  Google Scholar 

  • Herwitz SR, Johnson LF, Dunagan SE, Higgins RG, Sullivan DV, Zheng J, Slye RE et al (2004) Imaging from an unmanned aerial vehicle: agricultural surveillance and decision support. Comput Electron Agric 44(1):49–61

    Article  Google Scholar 

  • Hong I, Kuby M, Murray AT (2018) A range-restricted recharging station coverage model for drone delivery service planning. Transp Res C 90:198–212

    Article  Google Scholar 

  • Karakaya M (2014) UAV route planning for maximum target coverage. arXiv preprint arXiv:1403.2906

  • Karaman S, Frazzoli E (2011) Linear temporal logic vehicle routing with applications to multi-UAV mission planning. Int J Robust Nonlinear Control 21(12):1372–1395

    Article  Google Scholar 

  • Lopes RB, Ferreira C, Santos BS, Barreto S (2013) A taxonomical analysis, current methods and objectives on location-routing problems. Int Trans Oper Res 20(6):795–822

    Google Scholar 

  • Mufalli F, Batta R, Nagi R (2012) Simultaneous sensor selection and routing of unmanned aerial vehicles for complex mission plans. Comput Oper Res 39(11):2787–2799

    Article  Google Scholar 

  • Murray CC, Chu AG (2015) The flying sidekick traveling salesman problem: optimization of drone-assisted parcel delivery. Transp Res C: Emerg Technol 54:86–109

    Article  Google Scholar 

  • Nagy G, Salhi S (2007) Location-routing: issues, models and methods. Eur J Oper Res 177(2):649–672

    Article  Google Scholar 

  • Perboli G, Tadei R, Vigo D (2011) The two-echelon capacitated vehicle routing problem: models and math-based heuristics. Transp Sci 45(3):364–380

    Article  Google Scholar 

  • Pohl AJ, Lamont GB (2008, December). Multi-objective UAV mission planning using evolutionary computation. In: Proceedings of the 40th conference on winter simulation, pp 1268–1279

  • Prodhon C, Prins C (2014) A survey of recent research on location-routing problems. Eur J Oper Res 238(1):1–17

    Article  Google Scholar 

  • Salhi S, Nagy G (1999) Consistency and robustness in location-routing. Stud Locat Anal 13:3–19

    Google Scholar 

  • Salhi S, Rand GK (1989) The effect of ignoring routes when locating depots. Eur J Oper Res 39(2):150–156

    Article  Google Scholar 

  • Samanlioglu F (2013) A multi-objective mathematical model for the industrial hazardous waste location-routing problem. Eur J Oper Res 226(2):332–340

    Article  Google Scholar 

  • Sarıçiçek İ, Akkuş Y (2015) Unmanned aerial vehicle hub-location and routing for monitoring geographic borders. Appl Math Model 39(14):3939–3953

    Article  Google Scholar 

  • Shetty VK, Sudit M, Nagi R (2008) Priority-based assignment and routing of a fleet of unmanned combat aerial vehicles. Comput Oper Res 35(6):1813–1828

    Article  Google Scholar 

  • Shuai B, Zhao J (2011) Multi-objective 0–1 linear programming model for combined location–routing problem in hazardous waste logistics system. J Southwest Jiaotong Univ 46(2):326–332

    Google Scholar 

  • Solomon MM (1987) Algorithms for the vehicle routing and scheduling problems with time window constraints. Oper Res 35(2):254–265

    Article  Google Scholar 

  • Toth P, Vigo D (2001, January) An overview of vehicle routing problems. In: The vehicle routing problem. Society for Industrial and Applied Mathematics, pp 1–26

  • Tsiligirides T (1984) Heuristic methods applied to orienteering. J Oper Res Soc 35(9):797–809

    Article  Google Scholar 

  • TSPLIB, http://comopt.ifi.uniheidelberg.de/software/TSPLIB95. Last accessed 15 Feb 2017

  • Vachtsevanos GJ, Valavanis KP (2015) Handbook of unmanned aerial vehicles. Springer, Berlin

    Google Scholar 

  • Wasner M, Zäpfel G (2004) An integrated multi-depot hub-location vehicle routing model for network planning of parcel service. Int J Prod Econ 90(3):403–419

    Article  Google Scholar 

  • Weinstein AL, Schumacher C (2007, January) UAV scheduling via the vehicle routing problem with time windows. In: Proceedings of AIAA Infotech@ Aerospace 2007 conference and exhibit, Rohnert Park, California

  • Yu K, Budhiraja AK, Tokekar P (2017) Algorithms for routing of unmanned aerial vehicles with mobile recharging stations and for package delivery. arXivpreprint arXiv:1704.00079

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Acknowledgements

The first author wishes to thank Naval Postgraduate School’s staff for their hospitality during his visit. A visit that was funded by the Scientific and Technological Research Council of Turkey (TUBITAK) [Grant Number 2219]. This support is gratefully acknowledged. We are also grateful to the referees for their valuable suggestions.

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Correspondence to Danışment Vural.

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Appendix

Appendix

See Tables 11 and 12.

Table 11 Distances between demand regions and airbases (km)
Table 12 Distances between demand regions (km)

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Vural, D., Dell, R.F. & Kose, E. Locating unmanned aircraft systems for multiple missions under different weather conditions. Oper Res Int J 21, 725–744 (2021). https://doi.org/10.1007/s12351-019-00455-7

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  • DOI: https://doi.org/10.1007/s12351-019-00455-7

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