The multidepot drone general routing problem with duration and capacity constraints.

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Title: The multidepot drone general routing problem with duration and capacity constraints.
Authors: Corberán, Teresa1 (AUTHOR) tecorfa@alumni.uv.es, Plana, Isaac2 (AUTHOR) isaac.plana@uv.es, Sanchis, José M.3 (AUTHOR) jmsanchis@mat.upv.es, Segura, Paula3 (AUTHOR) psegmar@upvnet.upv.es
Source: International Transactions in Operational Research. Nov2025, Vol. 32 Issue 6, p3756-3779. 24p.
Subjects: Test methods, Integers, Algorithms
Abstract: This paper studies the multidepot drone general routing problem with duration and capacity constraints (MDdGRP), an extension of the classical general routing problem with several depots. A fleet of drones with limited flight time and payload, each one located in a different depot, must jointly perform the service. In this continuous optimization problem, a set of lines of a network has to be serviced and a set of nodes has to be visited to deliver a given commodity. The aim is to find a set of drone routes performing the complete service with the shortest total duration. Aerial drones can enter a line at any point, service a portion of that line, and exit through another point, without following the lines of the network. While this flexibility allows for potentially better solutions, it also adds complexity to the problem. To deal with this, we digitize the MDdGRP instances by approximating each line with a polygonal chain containing a finite number of points that can be used to enter and exit each line. Thus, an instance of a discrete multidepot general routing problem (MDGRP) is obtained. This paper proposes an integer formulation for the MDGRP, some families of valid inequalities, and a branch‐and‐cut algorithm based on the strengthened formulation. Two matheuristic algorithms are presented, focused on sequentially selecting (and adding) some promising intermediate points to enter and exit a line. Instances involving up to six depots, 22 delivery points, and 88 original lines have been generated to test the performance of the methods proposed. [ABSTRACT FROM AUTHOR]
Copyright of International Transactions in Operational Research is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: The multidepot drone general routing problem with duration and capacity constraints.
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  Data: <searchLink fieldCode="AR" term="%22Corberán%2C+Teresa%22">Corberán, Teresa</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> tecorfa@alumni.uv.es</i><br /><searchLink fieldCode="AR" term="%22Plana%2C+Isaac%22">Plana, Isaac</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> isaac.plana@uv.es</i><br /><searchLink fieldCode="AR" term="%22Sanchis%2C+José+M%2E%22">Sanchis, José M.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> jmsanchis@mat.upv.es</i><br /><searchLink fieldCode="AR" term="%22Segura%2C+Paula%22">Segura, Paula</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> psegmar@upvnet.upv.es</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Transactions+in+Operational+Research%22">International Transactions in Operational Research</searchLink>. Nov2025, Vol. 32 Issue 6, p3756-3779. 24p.
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  Label: Abstract
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  Data: This paper studies the multidepot drone general routing problem with duration and capacity constraints (MDdGRP), an extension of the classical general routing problem with several depots. A fleet of drones with limited flight time and payload, each one located in a different depot, must jointly perform the service. In this continuous optimization problem, a set of lines of a network has to be serviced and a set of nodes has to be visited to deliver a given commodity. The aim is to find a set of drone routes performing the complete service with the shortest total duration. Aerial drones can enter a line at any point, service a portion of that line, and exit through another point, without following the lines of the network. While this flexibility allows for potentially better solutions, it also adds complexity to the problem. To deal with this, we digitize the MDdGRP instances by approximating each line with a polygonal chain containing a finite number of points that can be used to enter and exit each line. Thus, an instance of a discrete multidepot general routing problem (MDGRP) is obtained. This paper proposes an integer formulation for the MDGRP, some families of valid inequalities, and a branch‐and‐cut algorithm based on the strengthened formulation. Two matheuristic algorithms are presented, focused on sequentially selecting (and adding) some promising intermediate points to enter and exit a line. Instances involving up to six depots, 22 delivery points, and 88 original lines have been generated to test the performance of the methods proposed. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of International Transactions in Operational Research is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1111/itor.13457
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Integers
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      – SubjectFull: Algorithms
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      – TitleFull: The multidepot drone general routing problem with duration and capacity constraints.
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            NameFull: Plana, Isaac
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            – D: 01
              M: 11
              Text: Nov2025
              Type: published
              Y: 2025
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