Integrated User Matching and Pricing in Round-Trip Car-Sharing

Fuente: arXiv
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Main Authors: Brar, Avalpreet Singh, Su, Rong, Zardini, Gioele, Kaur, Jaskaranveer
Format: Preprint
Published: 2024
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author Brar, Avalpreet Singh
Su, Rong
Zardini, Gioele
Kaur, Jaskaranveer
author_facet Brar, Avalpreet Singh
Su, Rong
Zardini, Gioele
Kaur, Jaskaranveer
contents Traditional round-trip car rental systems mandate users to return vehicles to their point of origin, limiting the system adaptability to meet diverse mobility demands. This constraint often leads to fleet under-utilization and incurs high parking costs for idle vehicles. To address this inefficiency, we propose a N-user matching algorithm which is designed to facilitate one-way trips within the round-trip rental framework. Our algorithm addresses the joint problem of optimal pricing and user matching through a Two-Stage Integer Linear Programming (ILP)-based formulation. In the first stage, optimal rental prices are determined by setting a risk factor that governs the likelihood of matching a set of N-user. The second stage involves maximizing expected profit through a novel ILP-based user-matching formulation. Testing our algorithm on real-world scenarios demonstrates an approximate 35\% increase in demand fulfillment. Additionally, we assess the model robustness under uncertainty by varying factors such as the risk factor (probability of user ride acceptance at the offered price), cost factor (rental cost-to-fare ratio), and maximum chain length.
format Preprint
id arxiv_https___arxiv_org_abs_2407_08238
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Integrated User Matching and Pricing in Round-Trip Car-Sharing
Brar, Avalpreet Singh
Su, Rong
Zardini, Gioele
Kaur, Jaskaranveer
Systems and Control
Traditional round-trip car rental systems mandate users to return vehicles to their point of origin, limiting the system adaptability to meet diverse mobility demands. This constraint often leads to fleet under-utilization and incurs high parking costs for idle vehicles. To address this inefficiency, we propose a N-user matching algorithm which is designed to facilitate one-way trips within the round-trip rental framework. Our algorithm addresses the joint problem of optimal pricing and user matching through a Two-Stage Integer Linear Programming (ILP)-based formulation. In the first stage, optimal rental prices are determined by setting a risk factor that governs the likelihood of matching a set of N-user. The second stage involves maximizing expected profit through a novel ILP-based user-matching formulation. Testing our algorithm on real-world scenarios demonstrates an approximate 35\% increase in demand fulfillment. Additionally, we assess the model robustness under uncertainty by varying factors such as the risk factor (probability of user ride acceptance at the offered price), cost factor (rental cost-to-fare ratio), and maximum chain length.
title Integrated User Matching and Pricing in Round-Trip Car-Sharing
topic Systems and Control
url https://arxiv.org/abs/2407.08238