The Stackelberg Model in Territorial Planning
- Authors: Lavlinskii S.M.1,2,3, Panin A.A.1,2, Plyasunov A.V.1,2
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch
- Novosibirsk State University
- Trans-Baikal State University
- Issue: Vol 80, No 2 (2019)
- Pages: 286-296
- Section: Control in Social Economic Systems
- URL: https://journals.rcsi.science/0005-1179/article/view/151294
- DOI: https://doi.org/10.1134/S0005117919020073
- ID: 151294
Cite item
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 ∑2P-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.
About the authors
S. M. Lavlinskii
Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University; Trans-Baikal State University
Author for correspondence.
Email: lavlin@math.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk; Chita
A. A. Panin
Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University
Author for correspondence.
Email: aapanin1988@gmail.com
Russian Federation, Novosibirsk; Novosibirsk
A. V. Plyasunov
Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University
Author for correspondence.
Email: apljas@math.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk
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