The Cyclic-Routing UAV Problem is PSPACE-Complete

Ho, Hsi-Ming; Ouaknine, Joël

doi:10.1007/978-3-662-46678-0_21

Cited by 16 publications

(12 citation statements)

References 24 publications

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“…In Darbari et al , the drone must discover obstacles and predict their motion in order to cover a maximum area within the limited flight time while avoiding collisions. Several articles investigate the cyclic‐routing drone problem, in which drones fly back and forth to update information on the objects’ positions .…”

Section: Planning Drone Operationsmentioning

confidence: 99%

Optimization approaches for civil applications of unmanned aerial vehicles (UAVs) or aerial drones: A survey

et al. 2018

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Unmanned aerial vehicles (UAVs), or aerial drones, are an emerging technology with significant market potential. UAVs may lead to substantial cost savings in, for instance, monitoring of difficult‐to‐access infrastructure, spraying fields and performing surveillance in precision agriculture, as well as in deliveries of packages. In some applications, like disaster management, transport of medical supplies, or environmental monitoring, aerial drones may even help save lives. In this article, we provide a literature survey on optimization approaches to civil applications of UAVs. Our goal is to provide a fast point of entry into the topic for interested researchers and operations planning specialists. We describe the most promising aerial drone applications and outline characteristics of aerial drones relevant to operations planning. In this review of more than 200 articles, we provide insights into widespread and emerging modeling approaches. We conclude by suggesting promising directions for future research.

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Section: Planning Drone Operationsmentioning

confidence: 99%

Optimization approaches for civil applications of unmanned aerial vehicles (UAVs) or aerial drones: A survey

et al. 2018

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“…For example Equation (18) ensures that the travel in the upward (up) direction from i to j is zero unless i − 1 is less than or equal j. The travel from one square to its right square must be impossible for the up, down, and left directions and it is shown in Equation (21).…”

Section: Modelmentioning

confidence: 99%

“…Based on the literature the UAV routing problem is also formulated as a VRP model where additional constraints need to be added to reflect the characteristics of the problem. UAV routing problem has attracted much attention in the past decade for different applications [17,18]. CPP, tries to find an appropriate path for robots while covering the pre-defined nodes.…”

Section: Introductionmentioning

confidence: 99%

Complete Coverage Path Planning for a Multi-UAV Response System in Post-Earthquake Assessment

et al. 2016

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This paper presents a post-earthquake response system for a rapid damage assessment. In this system, multiple Unmanned Aerial Vehicles (UAVs) are deployed to collect the images from the earthquake site and create a response map for extracting useful information. It is an extension of well-known coverage path problem (CPP) that is based on the grid pattern map decomposition. In addition to some linear strengthening techniques, two mathematic formulations, 4-index and 5-index models, are proposed in the approach and coded in GAMS (Cplex solver). They are tested on a number of problems and the results show that the 5-index model outperforms the 4-index model. Moreover, the proposed system could be significantly improved by the solver-generated cuts, additional constraints, and the variable branching priority extensions.

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“…In [3] and [4], the Cyclic Routing problem of UAVs is formally defined and a lower-bound on the number of required UAVs is obtained. In [5], the authors have shown that the Cyclic Routing of UAVs problem is polynomial space PSPACE-complete. In [6], a flexible model that allows multiple UAVs to cooperatively search for targets, and using a method to efficiently store dynamic target location probability distributions is addressed.…”

Section: Introductionmentioning

confidence: 99%

Performance Evaluation of Multiple Unmanned Aerial Vehicles Operating in General Regime with Shortage of Maintenance Facilities

Kreimer¹

2016

JCC

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We consider a real-world problem of military intelligence unit equipped with multiple identical unmanned aerial vehicles (UAV) responsible for several regions (with requests of real-time jobs arriving from independent sources). We suppose that there are no ample maintenance facilities, allowing simultaneous treatment of all vehicles if necessary. Under certain assumptions, these real-time systems can be treated using a queueing theory methodology and/or as Markov chains. We show how to compute steady-state probabilities of these systems, their performance effectiveness, and various performance parameters (for exponentially distributed service and maintenance times of UAVs, as well as tasks duration and their arrival pattern).

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The Cyclic-Routing UAV Problem is PSPACE-Complete

Cited by 16 publications

References 24 publications

Optimization approaches for civil applications of unmanned aerial vehicles (UAVs) or aerial drones: A survey

Optimization approaches for civil applications of unmanned aerial vehicles (UAVs) or aerial drones: A survey

Complete Coverage Path Planning for a Multi-UAV Response System in Post-Earthquake Assessment

Performance Evaluation of Multiple Unmanned Aerial Vehicles Operating in General Regime with Shortage of Maintenance Facilities

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