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The pollution-routing problem with speed optimization and uneven topography

The pollution-routing problem with speed optimization and uneven topography
The pollution-routing problem with speed optimization and uneven topography
This paper considers a joint pollution-routing and speed optimization problem (PRP-SO) where fuel costs and CO2e emissions depend on the vehicle speed, arc payloads, and road grades. We present two methods, one approximate and one exact, for solving the PRP-SO. The approximate strategy solves large-scale instances of the problem with a tabu search-based metaheuristic coupled with an efficient fixed-sequence speed optimization algorithm. The second strategy consists of a tailored branch-and-price (BP) algorithm in which speed optimization is managed within the pricing problem. We test both methods on modified Solomon benchmarks and newly constructed real-life instance sets. Our BP algorithm solves most instances with up to 50 customers and many instances with 75 and 100 customers. The heuristic is able to find near-optimal solutions to all instances and requires less than one minute of computational time per instance. Results on real-world instances suggest several managerial insights. First, fuel savings of up to 53% are realized when explicitly taking into account arc payloads and road grades. Second, fuel savings and emissions reduction are also achieved by scheduling uphill customers later along the routes. Lastly, we show that ignoring elevation information when planning routes leads to highly inaccurate fuel consumption estimates.
math.OC
Lai, David
9e095afb-da7c-42e3-9e3e-a609bf12da57
Costa, Yasel
8925bd99-1cc0-40d4-82a4-003fce34263d
Demir, Emrah
eab6035c-0f98-4506-b5d0-ddb9eea88c32
Florio, Alexandre
386ef777-f0e1-4094-b924-5aed700d793e
Woensel, Tom Van
9fe97cd7-8f17-4cf5-a767-7dfb44391bbb
Lai, David
9e095afb-da7c-42e3-9e3e-a609bf12da57
Costa, Yasel
8925bd99-1cc0-40d4-82a4-003fce34263d
Demir, Emrah
eab6035c-0f98-4506-b5d0-ddb9eea88c32
Florio, Alexandre
386ef777-f0e1-4094-b924-5aed700d793e
Woensel, Tom Van
9fe97cd7-8f17-4cf5-a767-7dfb44391bbb

[Unknown type: UNSPECIFIED]

Record type: UNSPECIFIED

Abstract

This paper considers a joint pollution-routing and speed optimization problem (PRP-SO) where fuel costs and CO2e emissions depend on the vehicle speed, arc payloads, and road grades. We present two methods, one approximate and one exact, for solving the PRP-SO. The approximate strategy solves large-scale instances of the problem with a tabu search-based metaheuristic coupled with an efficient fixed-sequence speed optimization algorithm. The second strategy consists of a tailored branch-and-price (BP) algorithm in which speed optimization is managed within the pricing problem. We test both methods on modified Solomon benchmarks and newly constructed real-life instance sets. Our BP algorithm solves most instances with up to 50 customers and many instances with 75 and 100 customers. The heuristic is able to find near-optimal solutions to all instances and requires less than one minute of computational time per instance. Results on real-world instances suggest several managerial insights. First, fuel savings of up to 53% are realized when explicitly taking into account arc payloads and road grades. Second, fuel savings and emissions reduction are also achieved by scheduling uphill customers later along the routes. Lastly, we show that ignoring elevation information when planning routes leads to highly inaccurate fuel consumption estimates.

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2105.09229v1 - Author's Original
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Published date: 19 May 2021
Keywords: math.OC

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Local EPrints ID: 473033
URI: http://eprints.soton.ac.uk/id/eprint/473033
PURE UUID: 293d13dd-ac10-4637-8b19-27160b0b0e5a
ORCID for David Lai: ORCID iD orcid.org/0000-0002-9989-1485

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Date deposited: 09 Jan 2023 18:21
Last modified: 17 Mar 2024 04:12

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Contributors

Author: David Lai ORCID iD
Author: Yasel Costa
Author: Emrah Demir
Author: Alexandre Florio
Author: Tom Van Woensel

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