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

Title: Routing Problem for Unmanned Aerial Vehicle Patrolling Missions - A Progressive Hedging Algorithm

Journal Article · · Computers and Operations Research
 [1]; ORCiD logo [2];  [1]
  1. Texas A & M Univ., College Station, TX (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

This paper presents a two-stage stochastic program to model a routing problem involving an Unmanned Aerial Vehicle (UAV) in the context of patrolling missions. In particular, given a set of targets and a set of supplemental targets corresponding to each target, the first stage decisions involve finding the sequence in which the vehicle has to visit the set of targets. Upon reaching each target, the UAV collects information and if the operator of the UAV deems that the information collected is not of sufficient fidelity, then the UAV has to visit all the supplemental targets corresponding to that target to collect additional information before proceeding to visit the next target. The problem is solved using a progressive hedging algorithm and extensive computational results corroborating the effectiveness of the proposed model and the solution methodology is presented.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001; AC52-06NA25396
OSTI ID:
1845258
Report Number(s):
LA-UR-21-24769
Journal Information:
Computers and Operations Research, Vol. 142; ISSN 0305-0548
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (29)

Cooperative Routing for an Air–Ground Vehicle Team—Exact Algorithm, Transformation Method, and Heuristics journal January 2020
An effective Progressive Hedging algorithm for the two-layers time window assignment vehicle routing problem in a stochastic environment journal March 2021
A Scenario Aggregation–Based Approach for Determining a Robust Airline Fleet Composition for Dynamic Capacity Allocation journal August 2005
Solving Stochastic Transportation Network Protection Problems Using the Progressive Hedging-based Method journal March 2008
Analysis of stochastic dual dynamic programming method journal February 2011
Optimization approaches for civil applications of unmanned aerial vehicles (UAVs) or aerial drones: A survey journal March 2018
Scenarios and Policy Aggregation in Optimization Under Uncertainty journal February 1991
Optimization of Base Location and Patrol Routes for Unmanned Aerial Vehicles in Border Intelligence, Surveillance, and Reconnaissance journal January 2019
Progressive hedging and tabu search applied to mixed integer (0,1) multistage stochastic programming journal January 1996
A Two-Stage Approach for Routing Multiple Unmanned Aerial Vehicles with Stochastic Fuel Consumption journal November 2018
Algorithms for Routing an Unmanned Aerial Vehicle in the Presence of Refueling Depots journal January 2014
Applications of Aerosondes in the Arctic journal December 2004
A progressive hedging method for the multi-path travelling salesman problem with stochastic travel times journal August 2015
Algorithms for Heterogeneous, Multiple Depot, Multiple Unmanned Vehicle Path Planning Problems journal December 2016
Vehicle Routing with Stochastic Demands: Properties and Solution Frameworks journal August 1989
On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents journal July 1957
Approximation to Multistage Stochastic Optimization in Multiperiod Batch Plant Scheduling under Demand Uncertainty journal February 2004
Solving a Dynamic and Stochastic Vehicle Routing Problem with a Sample Scenario Hedging Heuristic journal November 2006
Sensor Planning for a Symbiotic UAV and UGV System for Precision Agriculture journal December 2016
Use of Remote‐Sensing Imagery to Estimate Corn Grain Yield journal May 2001
The Multiple Terminal Delivery Problem with Probabilistic Demands journal August 1969
Application of hierarchical facility location problem for optimization of a drone delivery system: a case study of Amazon prime air in the city of San Francisco journal December 2017
Stochastic vehicle routing journal January 1996
A Progressive Hedging based branch-and-bound algorithm for mixed-integer stochastic programs journal June 2018
Stochastic Drone Fleet Deployment and Planning Problem Considering Multiple-Type Delivery Service journal July 2019
Generalized Dynamic Programming for Stochastic Combinatorial Optimization journal October 1989
Progressive hedging innovations for a class of stochastic mixed-integer resource allocation problems journal July 2010
A Priori Solution of a Traveling Salesman Problem in Which a Random Subset of the Customers Are Visited journal December 1988
Heuristics for Routing Heterogeneous Unmanned Vehicles with Fuel Constraints journal January 2014