The relevance of the topic is due to the need for improvement and further development of scientific and methodological provision of portfolio management processes within the portfolio management introduction in the field of project management of local (territorial) self-government, including projects of public participation (PP projects). The purpose of the study is to improve and further develop the scientific and methodological provisions of portfolio formation group processes under the conditions of PP projects' implementation, which are considered as the corresponding portfolio components. The study's objectives are as follows: 1) to establish a conceptual research foundation and to identify project management knowledge bases relevant to the research topic;2) to analyze the interrelated scientific and methodological approaches to: structuring categories; defining criteria for evaluation, selection and prioritization; optimization of PP project combinations as those presented in portfolios; 3) to formulate and check, using the database of public projects of Kyiv city, hypotheses relating to the insignificance of differences in the combination of PP projects, separated by thematic direction, which determine the feasibility of presenting projects of thematic areas in the relevant sub-portfolios of the overall PP project portfolio; 4) to propose the model for the formation of the optimal composition of the PP project portfolio recommended for implementation. The methods of the study The method of scientific identification was applied while forming the conceptual basis of the research; the method of comparative analysis was applied in the analysis of scientific and methodological approaches to structuring, definition of criteria (evaluation, selection, prioritization) and optimization of the PP project portfolio; to test the hypothesis of insignificance of differences in the combinations of PP projects, separated by thematic areas, the non-parametric criterion (test) of significance of Kruskal-Wallis was used; while building a model for the formation of the optimal composition of the PP project portfolio, the method of cost-benefit analysis, the time value of money concept, and an integer programming problem were applied.

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The relevance of the research topic is due to the need for improvement and further development of scientific and methodological support for portfolio management processes in the context of the introduction of portfolio-oriented management in the field of local (territorial) self-government project management, including public participation (PP) projects.

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The actuality of the theme arises from the need to improve and further develop the methodological support of portfolio management processes in the context of the portfolio management introduction of collective strategies implementation in supply chain networks. The purpose of the study is to develop a mathematical model for determining the optimal portfolio components as a means of single system implementation of collective strategies in supply chain networks (SCNs) to meet the target value of selected criteria of efficiency and cost-effectiveness of supply chains as integral objects, taking into account the possibility of presenting these criteria as stochastic variables. The given model is described in the paper in the terms of portfolio implementation optimisation, the components of which are aimed at reducing the delivery time of orders in the supply chain. Objectives of the study: to conduct a comparative analysis of the PMI portfolio management standard versions in order to form a conceptual framework for the study and determine the knowledge base for portfolio management by the subject of the research; to formulate the problem of portfolio components optimisation for the collective strategies implementation in SCNs; to analyse and identify scientific gaps in methodological approaches to solving the problem of optimizing portfolio components of the collective strategies implementation in SCNs in the proposed formulation; to develop a mathematical model for determining the optimal portfolio components for the implementation of collective strategies in SCNs as in the case of portfolio optimisation for a collective logistics strategy implementation, the components of which are aimed at reducing the time of orders delivery in supply chain; to approve the developed mathematical model for portfolio optimisation under the operation conditions of perishable goods supply chains in Ukraine. Utilised techniques of the research. The research is based on the concept of forming, on a single system basis, the collective strategies portfolio implementation in SCNs, which foresees the spread of portfolio management, which is defined to be an effective tool for the strategy implemention of an individual organisation, in a similar way a network of organisations, if the development conditions of the given network foresee the adoption of a collective strategy. Based on a comparative analysis of the four known versions of the PMI portfolio management standard for 2020, portfolio management is identified as a knowledge basis for portfolio management of methods and models for portfolio optimisation and strategies implementation in organisations. Based on the analysis of scientific and other information sources, the objective of optimizing the portfolios composition of collective strategies in SCNs is formulated as one that foresees the single system optimisation of the supply chain portfolio to meet the targets of selected criteria of efficiency and cost­effectiveness of the supply chain as a whole object, taking into account the possibility of presenting these criteria as stochastic variables. Based on the analysis of methodological approaches to solving the problem of optimizing the portfolio composition of collective strategies in SCNs, we identified a scientific gap, including the knowledge basis of portfolio management composition, in terms of lack of models for portfolio components optimisation. They would give the possibility to assess these components from a single system position of SCNs according to the established, in general case, several criteria, taking into account the possibility to present these criteria as stochastic variables. Based on the analysis of methodological approaches to solving multicriteria problems, taking into account the fact that some parameters may be stochastic, to solve the problem of portfolios components optimisation of collective strategies in SCNs in the proposed presentation we chose such an approach to solving multicriteria problems as establishing one (main) criterion transfering others to the rank of restraints. This gave grounds to apply the method of stochastic integer programming and to accept the condition about the random nature of individual parameters, i.e. the method of stochastic integer programming. As a result, the mathematical model for determining the optimal composition of portfolios was introduced as a means of implementing, on a single system basis, collective strategies in SCNs according to the requirements of achieving the target values of the selected criteria as stochastic variables. This model is described in the paper under the conditions of the portfolio optimisation of logistics strategy implementation, the components of which are aimed at reducing the time of order delivery of supply chain. The reliability of the model is confirmed by its practical approval within 2018-2020 in seven types of perishable goods supply chains, which involved companies, such as: FROZEN FRUT LLC, Handikap LLC, AIFT Ukraine LLC, Hroskhandel LLC, Olhopilske Motor Transport Enterprise LLC and Ukrainskyi Product PE. KEY WORDS: COLLECTIVE STRATEGY, SUPPLY CHAIN, LOGISTICS STRATEGY, SUPPLY CHAIN MANAGEMENT, PORTFOLIO-MANAGEMENT.