Abstract <p> We propose a model for the formation of a resource region development program usinga special mechanism of public-private partnership. It is based on the clustering of fields and thecreation of a system of consortia of private investors jointly implementing projects for theconstruction of the necessary production infrastructure. The mechanism for achievinga compromise between the interests of the government and private investors uses the Stackelbergmodel, in which the government is the leader. It determines quotas of compensation of consortia’scosts for the implementation of infrastructure projects. The role of the follower is assigned to thesystem of consortia, which forms the program of infrastructure construction. The solution of thecorresponding bilevel mathematical programming problem allows us to form a targeteddevelopment plan. Its components are lists of infrastructure projects to be implemented inconsortia, as well as schedules of costs for shared construction of infrastructure and theircompensation from the budget for private investors. It is shown that the government problem is<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11754_2025_5366_Article_IEq1.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Sigma ^P_2\)</EquationSource> </InlineEquation>-hard and belongs to the class<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11754_2025_5366_Article_IEq2.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="35" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Sigma ^P_2\text {O}\)</EquationSource> </InlineEquation> if the variables defining the transfer schedule take only integer values. A newstochastic approximate hybrid algorithm is developed to solve the two-level problem based onmetaheuristics using the ideas of coordinate descent. The results of calculations on real data forthe Zabaikalsky Krai allow us to formulate a set of practical recommendations on the formation ofthe mechanism of shared construction and the policy of compensation payments.</p>

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Public-Private Partnership Concerning Infrastructure Projects in a Resource Region: A Model Based on a Consortium of Subsoil Users

  • A. O. Zyryanov,
  • S. M. Lavlinskii,
  • A. A. Panin,
  • A. V. Plyasunov

摘要

Abstract

We propose a model for the formation of a resource region development program usinga special mechanism of public-private partnership. It is based on the clustering of fields and thecreation of a system of consortia of private investors jointly implementing projects for theconstruction of the necessary production infrastructure. The mechanism for achievinga compromise between the interests of the government and private investors uses the Stackelbergmodel, in which the government is the leader. It determines quotas of compensation of consortia’scosts for the implementation of infrastructure projects. The role of the follower is assigned to thesystem of consortia, which forms the program of infrastructure construction. The solution of thecorresponding bilevel mathematical programming problem allows us to form a targeteddevelopment plan. Its components are lists of infrastructure projects to be implemented inconsortia, as well as schedules of costs for shared construction of infrastructure and theircompensation from the budget for private investors. It is shown that the government problem is \(\Sigma ^P_2\) -hard and belongs to the class \(\Sigma ^P_2\text {O}\) if the variables defining the transfer schedule take only integer values. A newstochastic approximate hybrid algorithm is developed to solve the two-level problem based onmetaheuristics using the ideas of coordinate descent. The results of calculations on real data forthe Zabaikalsky Krai allow us to formulate a set of practical recommendations on the formation ofthe mechanism of shared construction and the policy of compensation payments.