Profit maximization in congested hub location problems: Demand models and service level constraints
This study investigates a congested hub location problem with the aim of optimizing a service provider’s profit by determining hub locations, capacities, and prices for serving commodities. The study incorporates a price-dependent demand function with a general functional form and models hub operati...
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| Vydané v: | Transportation research. Part E, Logistics and transportation review Ročník 195; s. 103995 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Ltd
01.03.2025
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| ISSN: | 1366-5545 |
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| Abstract | This study investigates a congested hub location problem with the aim of optimizing a service provider’s profit by determining hub locations, capacities, and prices for serving commodities. The study incorporates a price-dependent demand function with a general functional form and models hub operations as M/G/1 queueing systems to address congestion effects. The problem is initially formulated as a mixed-integer nonlinear program, which is subsequently transformed into a mixed-integer second-order cone program, demonstrating solvability with standard off-the-shelf solvers. Through numerical analysis, the study evaluates the influence of different demand functional forms and service time constraints on the optimal network configuration and the service provider’s profitability.
•A convex formulation is developed for the congested hub location problem with price-elastic demand.•The model is extended to accommodate uniform and commodity-specific service level constraints.•A commercial solver is employed to solve the proposed model.•Extensive numerical experiments provide valuable managerial insights. |
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| AbstractList | This study investigates a congested hub location problem with the aim of optimizing a service provider’s profit by determining hub locations, capacities, and prices for serving commodities. The study incorporates a price-dependent demand function with a general functional form and models hub operations as M/G/1 queueing systems to address congestion effects. The problem is initially formulated as a mixed-integer nonlinear program, which is subsequently transformed into a mixed-integer second-order cone program, demonstrating solvability with standard off-the-shelf solvers. Through numerical analysis, the study evaluates the influence of different demand functional forms and service time constraints on the optimal network configuration and the service provider’s profitability.
•A convex formulation is developed for the congested hub location problem with price-elastic demand.•The model is extended to accommodate uniform and commodity-specific service level constraints.•A commercial solver is employed to solve the proposed model.•Extensive numerical experiments provide valuable managerial insights. |
| ArticleNumber | 103995 |
| Author | Jalili Marand, Ata Hoseinpour, Pooya |
| Author_xml | – sequence: 1 givenname: Ata orcidid: 0000-0002-4264-4045 surname: Jalili Marand fullname: Jalili Marand, Ata email: atajalili@econ.au.dk organization: Department of Economics and Business Economics, Aarhus University, Aarhus, Denmark – sequence: 2 givenname: Pooya surname: Hoseinpour fullname: Hoseinpour, Pooya email: p.hoseinpour@aut.ac.ir organization: Department of Industrial Engineering & Management Systems, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran |
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| Keywords | Hub location problem Congestion Queuing Mixed integer second-order cone programming Pricing |
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