Quantum mathematical methods of economic analysis in project companies

The authors propose quantum mathematical methods of economic analysis of the organization of work of a company engaged in project activities, allowing to improve the quality of work due to the use of self-organization processes in corporate management with distributed control. The article provides a graphical illustration of the dependence of the volume of work on the development of working design documentation on the typical deadlines for the implementation of stages of experimental design work. The use of quantum analysis methods for economic analysis allows us to take into account both the need to ensure funding and the availability of labor resources of the relevant competencies. To improve the efficiency of the proposed economic model, the restrictions used for modeling are systematized. The paper presents the results of typical mathematical modeling. Mathematical tools for determining the minimum possible time for project implementation depending on the duration of sequential development processes and the limited labor resources have been developed. The proposed methods can be used to plan the deadlines for the implementation of stages of experimental design development of projects, as well as planning the workload of design departments when managing several projects. This provides an opportunity for analytical calculation of the maximum design capacities with available resources, as well as determining the need for labor resources of various competencies to implement the planned number of projects.

1. GOST RV 15.205-2004 System of product development and launching into manufature. Military equipment. the procedure for carrying out development work for developing Components for cross-sector applications / GOST RV 15.205-2004 // developed by JSC “RNII ‘Elektronstandart’ ”. – Introduced for the first time. – M.: Standartinform, 2005. – III, 65 p.

2. Antanayte K.S., Martyshkin V.V. Examination of design documentation at the stage of a working project // Innovation development when processing materials by presure and in additive manufacturing. Quality of the products: The proceedings of the All-Russian scientific and technical conference, Moscow, 7.12.2018. – M.: Moscow polytechnic, 2019. – P. 216–222.

3. Antonyuk I.A., Pakhomova Ye.A. Features of calculation of the initial maximum price of research and development work in enterprises // Construction Economics. – 2020. – No. 4 (64). – P. 35–46.

4. Alekseyev N.S. System evolution and organizational design // Issues of management theory and practice. – 1998. – No. 4.

5. Budarin S.N., Mikhaylenko V.S., Polovinkina O.N. [et al.]. On the composition of the technical project and the form of submission of its documents // Bulletin MANEB. – 2022. – Vol. 27, No. 2. – P. 5–13.

6. Butkovskiy A.G. Theory of optimal management of distributed systems. – M.: Nauka, 1965.

7. Gorelov B.A., Davydov A.D., Burdina A.A., Moskvicheva N.V. Digital management system for modernization of aviation technology // STIN. – 2024. – No. 1. – P. 37–41.

8. Danilayev D.P., Malivanov N.N., Pol’skiy Yu.Ye. Organization of educational process in a modern technical university // Higher education in Russia. – 2010. – No. 6.

9. Yevstaf'yev V.F., Bezdeneshnykh I.V. Express analysis of secondary reporting scientific and technical documentation on research, development and technological works // Intersectoral information service. – 2016. – No. 1. – P. 26–35.

10. Saybel' A.G., Shcheglov D.K., Kryukov A.A. Time savings reserves for development work // Scientific Bulletin of the Russian Defense and Industrial Complex. – 2023. – No. 4. – P. 24–29.

11. Shapovalov A.A., Taran P.V., Grikhina G.B. [et al.] Certificate of state registration database № 2017620101 Russian Federation. “Technical and economic documentation of research and development” (“TED NIOKR”): № 2016621580: applied 28.11.2016: published 19.01.2017 / applicant Joint Stock Company Scientific and Production Enterprise “Pul’sar”.

12. Shcheglov D.K. Express method for determining deadlines and costs of project design works by defense industry enterprises // Innovations in management. – 2024. – No. 1(39). – P. 46–54.