skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A Two-Stage Approach for Routing Multiple Unmanned Aerial Vehicles with Stochastic Fuel Consumption

Journal Article · · Sensors
DOI:https://doi.org/10.3390/s18113756· OSTI ID:1483552
 [1];  [2];  [3]
  1. Wayne State Univ., Detroit, MI (United States). Dept. of Industrial and Systems Engineering
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Texas A & M Univ., College Station, TX (United States). Dept. of Mechanical Engineering

The past decade has seen a substantial increase in the use of small unmanned aerial vehicles (UAVs) in both civil and military applications. This article addresses an important aspect of refueling in the context of routing multiple small UAVs to complete a surveillance or data collection mission. Specifically, this article formulates a multiple-UAV routing problem with the refueling constraint of minimizing the overall fuel consumption for all the vehicles as a two-stage stochastic optimization problem with uncertainty associated with the fuel consumption of each vehicle. The two-stage model allows for the application of sample average approximation (SAA). Although the SAA solution asymptotically converges to the optimal solution for the two-stage model, the SAA run time can be prohibitive for medium- and large-scale test instances. Hence, we develop a tabu search-based heuristic that exploits the model structure while considering the uncertainty in fuel consumption. Extensive computational experiments corroborate the benefits of the two-stage model compared to a deterministic model and the effectiveness of the heuristic for obtaining high-quality solutions.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE; LANL Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1483552
Report Number(s):
LA-UR-18-29794
Journal Information:
Sensors, Vol. 18, Issue 11; ISSN 1424-8220
Publisher:
MDPI AGCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

References (32)

Approximation algorithms for distance constrained vehicle routing problems journal March 2011
Two exact algorithms for the distance-constrained vehicle routing problem journal April 1984
Probabilistic diversification and intensification in local search for vehicle routing journal September 1995
The empirical behavior of sampling methods for stochastic programming journal February 2006
Experimental Results in Multi-UAV Coordination for Disaster Management and Civil Security Applications journal December 2010
Site-specific Approaches to Cotton Insect Control. Sampling and Remote Sensing Analysis Techniques journal October 2005
Methods of analysis for georeferenced sample counts of tarnished plant bugs in cotton journal October 2008
A parallel implementation of the Tabu search heuristic for vehicle routing problems with time window constraints journal November 1994
Defining the experimental unit for the design and analysis of site-specific experiments in commercial cotton fields journal March 2008
Vehicle routing problem with stochastic travel times including soft time windows and service costs journal January 2013
A two-stage approach to the orienteering problem with stochastic weights journal March 2014
The orienteering problem: A survey journal February 2011
Survey of Green Vehicle Routing Problem: Past and future trends journal March 2014
A Green Vehicle Routing Problem journal January 2012
A unified tabu search heuristic for vehicle routing problems with time windows journal August 2001
On the Miller‐Tucker‐Zemlin Based Formulations for the Distance Constrained Vehicle Routing Problems conference January 2010
Formulations and algorithms for the multiple depot, fuel-constrained, multiple vehicle routing problem conference July 2016
On the Rate of Convergence of Optimal Solutions of Monte Carlo Approximations of Stochastic Programs journal January 2000
The Sample Average Approximation Method for Stochastic Discrete Optimization journal January 2002
Heuristics for Routing Heterogeneous Unmanned Vehicles with Fuel Constraints journal January 2014
Asymptotic Behavior of Statistical Estimators and of Optimal Solutions of Stochastic Optimization Problems journal December 1988
Tabu Search—Part I journal August 1989
Solving the Orienteering Problem through Branch-and-Cut journal May 1998
Tabu Search—Part II journal February 1990
A Tabu Search Heuristic for the Vehicle Routing Problem journal October 1994
On the Distance Constrained Vehicle Routing Problem journal August 1992
A Tabu Search Heuristic for the Vehicle Routing Problem with Stochastic Demands and Customers journal June 1996
Heuristic Methods Applied to Orienteering journal September 1984
Vehicle Routing Problems for Drone Delivery text January 2016
The Commute Trip Sharing Problem preprint January 2019
Benders Adaptive-Cuts Method for Two-Stage Stochastic Programs preprint January 2022
Capturing vertical profiles of aerosols and black carbon over the Indian Ocean using autonomous unmanned aerial vehicles journal January 2007

Cited By (2)


Figures / Tables (10)