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Authors: José-L. Figueroa ; Alain Quilliot ; Hélène Toussaint and Annegret Wagler

Affiliation: LIMOS INP, Université Clermont Auvergne, France

Keyword(s): Pickup and Delivery Problem with Transfers, 1-Request Exact Insertion, Constrained Shortest Path, Constraint Propagation, Time Expanded Networks.

Abstract: In this paper, we deal with a subproblem of the Pickup and Delivery Problem with Transfers (PDPT) where a finite set of transportation requests has been assigned to a homogeneous fleet of limited capacity vehicles, while satisfying some constraints imposed by a set of pre-scheduled tours. Then, a new transportation request appears, and we also have to serve it. For that, we can modify the current tours by performing a finite sequence of changes allowing to pick up, transport, transfer or deliver this new request. The resulting tours must serve all the requests and satisfy the original constraints, but within a given time horizon. To solve this problem, we present an empirical Dijkstra algorithm that computes tentative solutions whose consistence is checked through constraint propagation, and an exact algorithm which is an adaptation of the well-known A* algorithm for robot planning, that performs an exhaustive search in a tree of partial solutions and reduces the combinatorial explos ion by pruning some unfeasible/redundant tree nodes. We conclude by comparing the performance of both algorithms. (More)

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Paper citation in several formats:
Figueroa, J.; Quilliot, A.; Toussaint, H. and Wagler, A. (2022). Optimal 1-Request Insertion for the Pickup and Delivery Problem with Transfers and Time Horizon. In Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - ICORES; ISBN 978-989-758-548-7; ISSN 2184-4372, SciTePress, pages 17-27. DOI: 10.5220/0010787000003117

@conference{icores22,
author={José{-}L. Figueroa. and Alain Quilliot. and Hélène Toussaint. and Annegret Wagler.},
title={Optimal 1-Request Insertion for the Pickup and Delivery Problem with Transfers and Time Horizon},
booktitle={Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - ICORES},
year={2022},
pages={17-27},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010787000003117},
isbn={978-989-758-548-7},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - ICORES
TI - Optimal 1-Request Insertion for the Pickup and Delivery Problem with Transfers and Time Horizon
SN - 978-989-758-548-7
IS - 2184-4372
AU - Figueroa, J.
AU - Quilliot, A.
AU - Toussaint, H.
AU - Wagler, A.
PY - 2022
SP - 17
EP - 27
DO - 10.5220/0010787000003117
PB - SciTePress