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20232026
most citedOptimal Geodesic Curvature Constrained Dubins' Path on Sphere with Free Terminal Orientation

2 citations · 2 across the 10 of their papers we have counts for

collaborators

12 papers

math.OC2026

An Exact Algorithm for Load-Dependent Traveling Salesman Problem for Unmanned Aerial Vehicle Package Delivery

Deepak Prakash Kumar, Saurabh Belgaonkar, Sivakumar Rathinam +2

In this article, we present a novel formulation for the load-dependent traveling salesman problem (LD-TSP), in which travel cost (or energy expended) depends on the vehicle's curre…

cs.RO2025

A Novel Model for 3D Motion Planning for a Generalized Dubins Vehicle with Pitch and Yaw Rate Constraints

Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam +1

In this paper, we propose a new modeling approach and a fast algorithm for 3D motion planning, applicable for fixed-wing unmanned aerial vehicles. The goal is to construct the shor…

math.OC2025

A Path Planning Algorithm for a Hybrid UAV Traveling in Noise Restricted Zones

Saurabh Belgaonkar, Deepak Prakash Kumar, Sivakumar Rathinam +2

This paper presents an integrated approach for efficient path planning and energy management in hybrid unmanned aerial vehicles (HUAVs) equipped with dual fuel-electric propulsion…

math.OC2025

Generation of Paths for Motion Planning for a Dubins Vehicle on Sphere

Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam +1

In this article, the candidate optimal paths for a Dubins vehicle on a sphere are analytically derived. In particular, the arc angles for segments in , , , and $CCC…

math.OC2025

A New Approach to Motion Planning in 3D for a Dubins Vehicle: Special Case on a Sphere

Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam +1

In this article, a new model for 3D motion planning, applicable to aerial vehicles, is proposed to connect an initial and final configuration subject to pitch rate and yaw rate con…

cs.RO2025

Time-optimal Convexified Reeds-Shepp Paths on a Sphere

Sixu Li, Deepak Prakash Kumar, Swaroop Darbha +1

This article studies the time-optimal path planning problem for a convexified Reeds-Shepp (CRS) vehicle on a unit sphere, capable of both forward and backward motion, with speed bo…

math.OC2024

Heterogeneous Min-Max Multi-Vehicle Multi-Depot Traveling Salesman Problem: Heuristics and Computational Results

Deepak Prakash Kumar, Sivakumar Rathinam, Swaroop Darbha +1

In this paper, a heuristic for a heterogeneous min-max multi-vehicle multi-depot traveling salesman problem is proposed, wherein heterogeneous vehicles start from given depot locat…

math.OC2024★ 2 cited

Optimal Geodesic Curvature Constrained Dubins' Path on Sphere with Free Terminal Orientation

Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam +2

In this paper, motion planning for a vehicle moving on a unit sphere with unit speed is considered, wherein the desired terminal location is fixed, but the terminal orientation is…

math.OC2024

Generalization of Optimal Geodesic Curvature Constrained Dubins' Path on Sphere with Free Terminal Orientation

Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana Gupta Manyam +1

In this paper, motion planning for a Dubins vehicle on a unit sphere to attain a desired final location is considered. The radius of the Dubins path on the sphere is lower bounded…

math.OC2024

Equivalence of Dubins Path on Sphere with Geographic Coordinates and Moving Frames

Deepak Prakash Kumar, Swaroop Darbha, Satyanarayana G. Manyam +2

In this article, two methods of addressing path planning for a Dubins vehicle moving on a sphere are considered, wherein either spherical coordinates or a moving frame are consider…

math.OC2023

Heuristic for Min-Max Heterogeneous Multi-Vehicle Multi-Depot Traveling Salesman Problem

Deepak Prakash Kumar, Sivakumar Rathinam, Swaroop Darbha +1

In this article, a heuristic is proposed for a min-max heterogeneous multi-vehicle multi-depot traveling salesman problem (TSP), wherein heterogeneous vehicles start from given dep…

math.OC2023

UAV Routing for Enhancing the Performance of a Classifier-in-the-loop

Deepak Prakash Kumar, Pranav Rajbhandari, Loy McGuire +2

Some human-machine systems are designed so that machines (robots) gather and deliver data to remotely located operators (humans) through an interface in order to aid them in classi…