Revenue Management in Airlines and External Factors Affecting Decisions: The Harmonic Oscillator Model
The Revenue Management (RM) problem in airlines for a fixed capacity, single resource and two classes has been solved before by using a standard formalism. In this paper we propose a model for RM by using the semi-classical approach of the Quantum Harmonic Oscillator. We then extend the model to inc...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-03-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/12/6/847 |
| _version_ | 1797240176148217856 |
|---|---|
| author | Ivan Arraut Wilson Rosado Victor Leong |
| author_facet | Ivan Arraut Wilson Rosado Victor Leong |
| author_sort | Ivan Arraut |
| collection | DOAJ |
| description | The Revenue Management (RM) problem in airlines for a fixed capacity, single resource and two classes has been solved before by using a standard formalism. In this paper we propose a model for RM by using the semi-classical approach of the Quantum Harmonic Oscillator. We then extend the model to include external factors affecting the people’s decisions, particularly those where collective decisions emerge. |
| first_indexed | 2024-04-24T18:03:16Z |
| format | Article |
| id | doaj.art-fa1e3ae8881e41258f133d2b55f34914 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-24T18:03:16Z |
| publishDate | 2024-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-fa1e3ae8881e41258f133d2b55f349142024-03-27T13:53:05ZengMDPI AGMathematics2227-73902024-03-0112684710.3390/math12060847Revenue Management in Airlines and External Factors Affecting Decisions: The Harmonic Oscillator ModelIvan Arraut0Wilson Rosado1Victor Leong2Faculty of Business and Law, University of Saint Joseph, Estrada Marginal da Ilha Verde, 14-17, Macao, ChinaDepartment of Physics, Universidad de Sucre, Cra. 28 No 5-267, Puerta Roja, Sincelejo-Sucre 700001, ColombiaFaculty of Business and Law, University of Saint Joseph, Estrada Marginal da Ilha Verde, 14-17, Macao, ChinaThe Revenue Management (RM) problem in airlines for a fixed capacity, single resource and two classes has been solved before by using a standard formalism. In this paper we propose a model for RM by using the semi-classical approach of the Quantum Harmonic Oscillator. We then extend the model to include external factors affecting the people’s decisions, particularly those where collective decisions emerge.https://www.mdpi.com/2227-7390/12/6/847revenue managementharmonic oscillatorcollective decisionsspontaneous symmetry breaking |
| spellingShingle | Ivan Arraut Wilson Rosado Victor Leong Revenue Management in Airlines and External Factors Affecting Decisions: The Harmonic Oscillator Model Mathematics revenue management harmonic oscillator collective decisions spontaneous symmetry breaking |
| title | Revenue Management in Airlines and External Factors Affecting Decisions: The Harmonic Oscillator Model |
| title_full | Revenue Management in Airlines and External Factors Affecting Decisions: The Harmonic Oscillator Model |
| title_fullStr | Revenue Management in Airlines and External Factors Affecting Decisions: The Harmonic Oscillator Model |
| title_full_unstemmed | Revenue Management in Airlines and External Factors Affecting Decisions: The Harmonic Oscillator Model |
| title_short | Revenue Management in Airlines and External Factors Affecting Decisions: The Harmonic Oscillator Model |
| title_sort | revenue management in airlines and external factors affecting decisions the harmonic oscillator model |
| topic | revenue management harmonic oscillator collective decisions spontaneous symmetry breaking |
| url | https://www.mdpi.com/2227-7390/12/6/847 |
| work_keys_str_mv | AT ivanarraut revenuemanagementinairlinesandexternalfactorsaffectingdecisionstheharmonicoscillatormodel AT wilsonrosado revenuemanagementinairlinesandexternalfactorsaffectingdecisionstheharmonicoscillatormodel AT victorleong revenuemanagementinairlinesandexternalfactorsaffectingdecisionstheharmonicoscillatormodel |