Multi-Objective Modeling for Airlines Cooperation by Game Theory and Sustainable Development Approaches

Document Type : Research Paper


1 Ph.D. Student, Department of Industrial Engineering, Payame Noor University, Tehran, Iran

2 Associate Professor, Department of Industrial Engineering, Payame Noor University, Tehran, Iran

3 Professor, School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran

4 Professor, School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran


In each time period, the passengers’ demand for each route is finite and airlines compete for earning more profits. The complex competition among airlines causes some problems, such as complicating flight planning and increasing empty seats for some routes. These problems increase air pollution and fuel consumption. To solve these problems, this research studies the cooperation of the airlines with game theory and sustainable development app.roaches. To investigate the issue, the three steps are suggested as introducing the components of the multi-attribute game theory to the multi-objective model, modeling multi-objective formulation with a sustainable development app.roach, and solving the model by a multi-objective method. Pay-off functions are to maximize the profit of airlines, minimize the total difference among the No.s of flier passengers and their demand on all routes and all flight times, and minimize empty seats. All the above-mentioned objectives present economic, social, and environmental aspects of sustainable development. The results of the airline cooperation model are compared with the information about non-cooperation collected from airlines in the current form. The cooperation of airlines can improve the objective functions and the sustainable development app.roach. This research can be used to help airlines in identifying the role of cooperation in air transportation.


- Abdoli Aghaei, H., Beheshtinia, M. A., Amalnick, M. S.,  Gholimotlagh, M. and Fartash, K. (2015) "Studying technology road mapping development and selecting the appropriate model for aircraft design and manufacturing industry", International Journal of Scientific Studies, Volume 1, Issue 2, pp. 43-54.
- Adler, N. (2001) "Competition in a deregulated air transportation market", European Journal of Operational Research, Vol. 129, No. 2, pp. 337–345
- Adler, N. and Smilowitz, K. (2007) "Hub-and-spoke network alliances and mergers: price-location competition in the airline industry", Transportation Research Part B, Vol. 41, No. 4, pp. 394–409
- Aggarwal, A., Chan, F.T. S. and  Tiwari, M. K.  (2013) "Development of a module based service family design for mass customization of airline sector using the coalition game", Computers & Industrial Engineering, Vol. 66. pp. 827–833
- Asgharpour, M. J. (2014) "Group decision making and game theory in operation research", University of Tehran Publications, 3rd  Edition.
- Beheshtinia, M. A. and Ghasemi, A. (2017) "A multi-objective and integrated model for chain scheduling optimization in a multi-site manufacturing system", Engineering Optimization, Vol. 50, Issue 9, pp. 1415-1433
- Cokorilo, O.  (2016)  "Environmental issues for aircraft operations at airports",   Transportation Research Procedia. pp. 3713 – 3720 .
- Cheng, D. S., Chen, S.H., Hsu, C.W. and Hu, A. (2015) "Identifying strategic factors of the implantation csr in the airline industry: The case of Asia-Pacific airlines", Sustainability, Vol.7, pp. 7762–7783.
- Dae Ko, Y. (2016) "An airline's management strategies in a competitive air transport market", Journal of Air Transport Management, Vol.50, pp. 53-61
- Danesh Asgari, S.,  Haeri, A. and Jafari, M.  (2017) "Right indicators of urban railway system: Combination of BSC and DEA model", International Journal of Transportation Engineering, Vol.5, No. 3, pp. 275-299
- Evans, A. and Schäfer, A.  (2014) "Simulating airline operational responses to airport capacity constraints", Transport Policy, Vol. 34, pp. 5–13
- Ghatre Samani, M. A. Hoseini Motlagh, M., Yaghubi, S. and Jokar, A. (2016) "Providing a multi objective probabilistic model based for Routing", Journal Of Transportation Engineering, Vol.8, No.1, pp. 53-73
- Grauberger, W. and  Kimms, A. (2014) "Decision supp.ort computing app.roximate Nash equilibrium in general network revenue management games", European Journal Operational Research, Vol.237, pp. 1008–1020
- Hagmann, C., Semeijn, J., David, B. and Vellenga. (2015) "Exploring the green image of airlines: Passenger perceptions and airline choice", Journal of Air Transport Management, Vol.43, pp. 37-45
- Hansen, M. (1990) "Airline competition in a hub-dominated environment: an application of non-cooperative game theory", Transportation Research Part B, Vol. 24, No. 1, pp. 27–43
- Kimms, A. and Demet, C.(2012) "Approximate nucleolus-based revenue sharing in airline alliances", European Journal of Operational Research, Vol. 220 No. 2,   pp. 510–521.
- Kılkıs, S. and Kılkıs, S. (2015) "Benchmarking airports based on a sustainability ranking index", Journal of Cleaner Production, Vol. 130, pp. 248-259.
- Lu, C. (2011) "The economic benefits and environmental costs of airport operations: Taiwan Taoyuan international airport", Journal of Air Transport Management, Vol.17, pp. 360-363
- Majidi, S., Hosseini-Motlagh, M.  Yaghoubi, S. and Jokar, A. (2017) "Fuzzy green vehicle routing problem with simultaneous pickup–delivery and time windows", RAIRO-Operations Research, Vol. 51, No. 4, pp. 1151-1176.
- Myerson, Roger B. (1991) "Game theory: Analysis of conflict", Harvard University Press, p. 1. Chapter-preview links
- Pagoni, I. and Psaraki-Kalouptsidi, V. (2016) " The impact of carbon emission fees on passenger demand and air fares: a game theoretic app.roach", Journal of Air Transport Management, Vol.55, pp. 41-51
- Patlins, A. (2017) "Improvement of sustainability definition facilitating sustainable development of public transport system", International Scientific Conference on Sustainable, Modern and Safe Transport, Procedia Engineering Vol.192,  pp.659 – 664
- Ricardo A., Ortiz-Gutiérreza, Giarolab, S.  Shahb, N. and Bezzo, F. (2015) "An approach to optimize multi-enterprise biofuel chains including Nash equilibrium models", 12th International Symposium on Process Systems Engineering and 25th European Symposium on Computer Aided Process Engineering. Elsevier B.V. All rights reserved.
- Saraswati, B. and  Hanaoka, S. (2014) "Airport–airline cooperation under commercial revenue sharing agreements: A network approach", Transportation Research Part E, Vol.70, pp. 17–33
- Saremi, S. Hosseini-Motlagh1, M.  and Sadjadi, J. (2016)  "A reschedule design for disrupted liner ships considering ports demand and CO2 emissions: The Case study of Islamic Republic of Iran Shipping Lines", Journal of Industrial and Systems Engineering, Vol. 9, No. 1, pp. 126-148
- Shiao, G-C. and Hwang, C-C.  (2013) "Analyzing competition of international air cargo carriers in the Asian general air cargo markets", Transport Policy, Vol.27, pp. 164–170
- Takebayashi, M. and Kanafani, A. (2005) "Network competition in air transportation markets: Bi-level approach", Research in Transportation Economics, Vol.13, pp. 101-119
- Tsui, K.W.H.,Yuen, A.C.L. and  Fung, M.K.Y. (2017) "Maintaining competitiveness of aviation hub: Empirical evidence of visitors to China via Hong Kong by air transport",  Curr. Issues Tour, doi:10.1080/13683500.2017.1312686.
- Tsai, W., Chang, Y., Lin, S., Chen, H. and Chu, P. (2014) “A green approach to the weight reduction of aircraft cabins", Journal of Air Transport Management, Vol.40, pp. 65-77
- Wei, W. and Hansen, M. (2007) "Airline’s competition in aircraft size and service frequency in duopoly markets", Transportation Research Part E, Vol.43, pp. 409-424
- Yu, P. L.  (1973) "A class of solution for group decision problem", Management Science, Vol. 19, No. 8, pp. 936-946
- Zamarripaa, M., Aguirreb, A., Méndezb, C. and Espuña, A. (2012) "Integration of mathematical programming and game theory for chain planning optimization in multi-objective competitive scenarios",  Proceedings of the 22nd European Symposium on Computer Aided Process Engineering Engineering, © 2012 Elsevier B.V. All rights reserved.
- Zito, P., Salvoa, G. and Fran, L. (2011) "Modeling airlines competition on fares and frequencies of service by bi-level optimization", Procardia Social and Behavioral Sciences, Vol.20, pp. 1080–1089