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20242026
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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…

math.OC2026

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…

math.OC2026

The Inverse Micromechanics Problem given Dielectric Constants for Isotropic Composites with Spherical Inclusions

Athindra Pavan, Swaroop Darbha, Bjorn Birgisson

In this article, convex optimization is introduced as a promising tool to study Eshelby based inverse micromechanics problems. The focus is on inverse micromechanics using the Eshe…

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.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…