Abstract
We propose a new model for the formation of a public-private partnership mechanism, formulated as a bilevel Boolean programming problem. We show that this task is ∑ P2 -hard in both optimistic and pessimistic forms. We develop a stochastic iterative algorithm for solving this problem. We also present computational experiments on real information that demonstrate the capabilities of the proposed approach.
Similar content being viewed by others
References
Ereshko, F.I., Modelirovanie refleksivnykh strategii v upravlyaemykh sistemakh (Modeling Reflexive Strategies in Controllable Systems), Moscow: Vychisl. Tsentr Ross. Akad. Nauk, 2001.
Lavlinskii, S.M., Gosudarstvenno–chastnoe partnerstvo na syr’evoi territorii—ekologicheskie problemy, modeli i perspektivy (Public–Private Partnership on Raw Material Territories: Ecological Problems, Models, and Prospects), Probl. Prognozirovaniya, 2010, no. 1, pp. 99–111.
Kochetov, Yu.A., Lavlinskii, S.M., Panin, A.A., and Plyasunov, A.V., Computational Complexity of Planning Models for Public–Private Partnership, Proc. 12th Int. Asian School Seminar “Optimization Problems for Complex Systems,” 2016, pp. 290–297.
Lavlinskii, S.M., Panin, A.A., and Plyasunov, A.V., A Bilevel Planning Model for Public–Private Partnership, Autom. Remote Control, 2015, vol. 76, no. 11, pp. 1976–1987.
Lavlinskii, S.M., Panin, A.A., and Plyasunov, A.V., Comparison of Models of Planning the Public–Private Partnership, J. Appl. Ind. Math., 2016, vol. 10, no. 3, pp. 356–369.
Ausiello, G., Crescenzi, P., Gambosi, G., et al., Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties, Berlin: Springer–Verlag, 1999.
Panin, A.A., Pashchenko, M.G., and Plyasunov, A.V., Bilevel Competitive Facility Location and Pricing Problems, Autom. Remote Control, 2014, vol. 75, no. 4, pp. 715–727.
Panin, A.A. and Plyasunov, A.V., On Complexity of Bilevel Problems of Location and Pricing, J. Appl. Ind. Math., 2014, vol. 8, no. 4, pp. 574–581.
Eggermont, C.E.J. and Woeginger, G.J., Motion Planning with Pulley, Rope, and Baskets, Theory Comput. Syst., 2013, vol. 53, no. 4, pp. 569–582.
Ben–Ayed, O., Bilevel Linear Programming, Comput. Oper. Res., 1993, vol. 20, no. 5, pp. 485–501.
Ivanov, S.V., Bilevel Stochastic Linear Programming Problems with Quantile Criterion, Autom. Remote Control, 2014, vol. 75, no. 1, pp. 107–118.
Ivanov, S.V. and Morozova, M.V., Stochastic Problem of Competitive Location of Facilities with Quantile Criterion, Autom. Remote Control, 2016, vol. 77, no. 3, pp. 451–461.
Kibzun, A.I. and Kan, Yu.S., Zadachi stokhasticheskogo programmirovaniya s veroyatnostnymi kriteriyami (Stochastic Programming Problems with Probabilistic Criteria), Moscow: Fizmatlit, 2009.
Alekseeva, E., Kochetov, Y., and Talbi, El–G., A Metaheuristic for the Discrete Bilevel Problem with Multiple Objectives at the Lower Level, Int. Trans. Oper. Res., 2017, vol. 24, no. 5, pp. 959–981.
Author information
Authors and Affiliations
Corresponding authors
Additional information
Russian Text © S.M. Lavlinskii, A.A. Panin, A.V. Plyasunov, 2019, published in Avtomatika i Telemekhanika, 2019, No. 2, pp. 111–124.
Rights and permissions
About this article
Cite this article
Lavlinskii, S.M., Panin, A.A. & Plyasunov, A.V. The Stackelberg Model in Territorial Planning. Autom Remote Control 80, 286–296 (2019). https://doi.org/10.1134/S0005117919020073
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117919020073