I.I. Sukhikh1

1, 3 I.A. Bunin Yelets State University (Yelets, Russia)
2 FRС «Computer Science and Control» of Russian Academy of Sciences (Moscow, Russia)
1 irinavsl@yandex.ru, 2 ovdruzh@mail.ru, 3olga121@inbox.ru

Increasing competitiveness in the educational services market through indicators of demand for graduates is an important task in the development strategy of an educational institution. One of the vectors for solving this problem is the arrangement of disciplines in the curriculum based on compliance with the rules of continuity of disciplines, taking into account such conditions as prerequisites and postrequisites. The purpose of this study is to bring the curriculum to a state of interdisciplinary coherence by making adjustments to the curriculum in the chronological arrangement of disciplines between semesters.

As part of the research, a mathematical model and a formal representation of the curriculum in the form of a directed graph are formed. The algorithm is described and a block diagram is provided to help distinguish states between disciplines.

Having received a structured set of data from the curriculum, an assessment is made of the quality of the curriculum in its current state. For this task, a penalty function is determined, with the help of which, in the future, gaps between time intervals for studying disciplines are minimized and the rule of continuity of disciplines is observed throughout the entire period of study. Using the penalty function, an addition to the algorithm was developed, with the help of which it was possible to determine the current value of the penalty function, as well as reduce the value by 18%.

Based on the results obtained, a plan for further research has been proposed to help achieve the main goal, which is to increase the efficiency of managing the educational process based on a harmonized curriculum.

Sukhikh I.I. Models and algorithms of the system for improving the quality of training of IT-specialists on the basis of curriculum harmonization. Nonlinear World. 2025. V. 23. № 1. P. 35–45. DOI: https://doi.org/10.18127/ j20700970-202501-05
(In Russian)

1. Fajzrahmanov R.A., Dolgova E.V., Suhih I.I. Analiz sostoyaniya garmonizacii disciplin napravleniya 09.03.01 «Informatika i vychislitel'naya tekhnika». Vestnik permskogo universiteta. Ser.: Matematika. Mekhanika. Informatika. 2024. №1(64). S. 53–59. DOI: 10.17072/1993-0550-2024-1-53-59 (In Russian).
2. Dem'yanenko Yu.I. Informacionnye tekhnologii kak sredstvo optimizacii uchebnogo processa v vuze. Tendencii razvitiya nauki i obrazovaniya. 2020. № 66-4. S. 32–34 (In Russian).
3. Nosikova A.Yu. Reinzhiniring processov upravleniya uchebnoj deyatel'nost'yu obrazovatel'noj organizacii. Vestnik studencheskogo nauchnogo obshchestva GOU VPO «Doneckij nacional'nyj universitet». 2020. № 3(12). S. 219–223 (In Russian).
4. Burnasheva E.P. Ispol'zovanie instrumentov berezhlivogo proizvodstva v proektirovanii obrazovatel'nogo processa. Integraciya obrazovaniya. 2016. № 1(20). S. 105–111. DOI: 10.15507/1991-9468.082.020.201601.105-111 (In Russian).
5. Klimova Yu.O. Analiz sootvetstviya urovnya kompetencij vypusknikov IT-special'nostej trebovaniyam rabotodatelej. Voprosy territorial'nogo razvitiya. 2021. № 1(9). S. 5–23. DOI: 10.15838/tdi.2021.1.56.5 (In Russian).
6. Fominyh P.Yu., Fajzrahmanov R.A., Yarullin D.V. Formirovanie cifrovoj modeli kompetencij IT-specialista na osnove obrabotki trebovanij rabotodatelej. Avtomatizirovannye sistemy upravleniya i informacionnye tekhnologii: mater. vseros. nauch.-tekhn. konf.: v 2 t. Perm': Izd-vo Perm. nac. issled. politekhn. un-ta. 2020. T. 1. S. 261–267 (In Russian).
7. Plan meropriyatij po napravleniyu «Kadry i obrazovanie». http://static.government.ru/media/files/-k87YsCABuiyuLA jcWDFILEh6itAirUX0.pdf (data obrashcheniya: 20.02.2024) (In Russian).
8. Yarullin D.V. Informacionnaya sistema sbora i obrabotki trebovanij rabotodatelej k kompetenciyam IT-specia¬listov na osnove metodov denotativnogo analiza: avtoref. dis. … kand. tekhn. nauk. Perm', 2023. 22 s. (In Russian).
9. Alipova N.A., Baranov V.G., Milov V.R. Sposob strukturnoj optimizacii uchebnogo processa. Informacionno-izmeritel'nye i upravlyayushchie sistemy. 2015. T. 15. № 11. S. 65–72 (In Russian).
10. Vetoshkin A.A., Grunin N.S., Tahtamysheva A.A., Nosova E.Yu., Nardid A.N., Myshenkov K.S. Osobennosti realizacii metagrafovyh agentov na osnove nechetkogo logicheskogo vyvoda. Dinamika slozhnyh sistem – XXI vek. 2023. T. 17. № 3. S. 40–50. DOI: 10.18127/j19997493-202303-06 (In Russian).
11. Ageev Yu.D., Fedoseev S.V., Kavin Yu.A., Vorona S.G., Pavlovskij I.S. Ocenka protivorechivosti logicheskoj struktury uchebnogo plana. Statistika i matematicheskie metody v ekonomike. 2018. T. 15. № 5. S. 73-80. DOI: 10.21686/2500-3925-2018-5-73-80 (In Russian).
12. Samohin V.F., Mitrofanov M.V., Kiselev K.N. Sovremennyj podhod k razrabotke uchebnogo plana podgotovki specialistov. Razvitie voennoj pedagogiki v XXI veke: mater. IX mezhvuzovskoj nauch.-prakt. konf. SPb.: Izd-vo OOO «Izdatel'stvo VVM». 2022. S. 72–81 (In Russian).
13. Zykina A.V., Mun'ko V.V. Podhody k modelirovaniyu processa formirovaniya uchebnogo plana. Matematicheskie struktury i modelirovanie. 2021. № 4(60). S. 81–93. DOI: 10.24147/2222-8772.2021.4.81-93 (In Russian).
14. Yurchishina M.V., Bushmeleva K.I. Podhod k formirovaniyu grupp svyazannyh disciplin dlya obuchayushchihsya bakalavriata po napravleniyu «Informatika i vychislitel'naya tekhnika». Uspekhi kibernetiki. 2023. № 4(2). S. 53–59. DOI: 10.51790/2712-9942-2023-4-2-08 (In Russian).
15. Soboleva V.V., Shikul'skij M.I. Metodika avtomatizirovannogo podbora obrazovatel'nyh tekhnologij dlya optimizacii uchebnogo processa v vuze. Inzhenerno-stroitel'nyj vestnik Prikaspiya: nauchno-tekhnicheskij zhurnal. 2021. №1(35). S. 81–85 (In Russian).
16. Koeberlein-Kerler Yu., Yaschun T., Kovalenko O., Briukhanova N., Bondarenko T., Bozhko N. Optimization of Curricula of Engineering and Pedagogical Specialties Based on the Construction of a Model for Structuring Interdisciplinary Relations. Educating Engineers for Future Industrial Revolutions. 2021. V. 2. P. 148–156. DOI: 10.1007/978-3-030-68201-9.
17. Stroganov V.Yu., Tsvetkov Yu.B. Methodology for the Curriculum Structuring, Formation and Analysis Based on a Quantitative Assessment of Logical Connectivity. International Forum “IT-Technologies for Engineering Education: New Trends and Implementing Experience” (ITEE-2019): ITM Web Conf. 2020. V. 35. DOI: 10.1051/itmconf/20203501016.
18. Aksyutina I.V., Zaripova V.M., Petrova I.Yu. Model' kontrolya raspredeleniya i osvoeniya kompetencij po disciplinam uchebnogo plana. Inzhenerno-stroitel'nyj vestnik Prikaspiya: nauchno-tekhnicheskij zhurnal. 2020. № 4(34) S. 111–116 (In Russian).
19. Kuz'mina E.A., Nizamova G.F. Formirovanie uchebnogo plana na osnove grafovoj modeli. Informatika i obrazovanie. 2020. № 5. S. 33–43. DOI: 10.32517/0234-0453-2020-35-5-33-43 (In Russian).
20. Zykina A.V., Petin G.A., Tkachenko D.M. Vybor parametrov dlya resheniya nepreryvnyh optimizacionnyh zadach metodami shtrafnyh funkcij. Prikladnaya matematika i fundamental'naya informatika. 2022. S. 19–20 (In Russian).
21. Egorova G.E., Zajceva T.S. Razrabotka PO dlya resheniya zadach metodom shtrafnyh funkcij. Interekspo Geo-Sibir'. 2020. № 1(7). S. 84–87. DOI: 10.33764/2618-981X-2020-7-1-84-87 (In Russian).
22. Plotnikova E.A., Sazhenkov A.N., Sazhenkova T.V. O kombinirovannyh shtrafnyh funkciyah v reshenii zadach vypuklogo programmirovaniya. Trudy seminara po geometrii i matematicheskomu modelirovaniyu. 2022. № 8. S. 76–79 (In Russian).
23. Biktimirov L.Sh., Tashlinskij A.G. Vychislitel'naya slozhnost' poiska po shablonu fragmenta na izobrazhenii s ispol'zovaniem mnozhestva upravlyaemyh procedur. Radiotekhnika. 2017. № 6. S. 8–12 (In Russian).
24. Samostoyatel'no ustanavlivaemyj obrazovatel'nyj standart vysshego obrazovaniya po napravleniyu podgotovki 09.03.01 «Informatika i vychislitel'naya tekhnika» : uroven' vyssh. obrazovaniya – bakalavriat : utv. resheniem Uchen. soveta un-ta ot 28.02.2019, protokol № 6: izm. Resheniem Uchen. soveta PNIPU ot 25.02.2021, protokol № 6 : izm. resheniem Uchen. soveta PNIPU ot 27.05.2021, protokol № 10: izm. resheniem Uchen. Soveta PNIPU ot 02.06.2023, protokol № 9 : vved. v dejstvie prikazom rektora un-ta ot 05.03.2019 № 16-O: vneseny izm. prikazami rektora ot 26.02.2021 № 14-o, ot 02.06.2021 № 42-o, ot 22.06.2023 №2314-v: data vved. v dejstvie 01 marta 2019 g.. Perm. nac. issled. politekhn. un-t, Elektrotekhn. fak. Perm'. 2023. 36 s. URL: https://pstu.ru/files/2/file/1UOP/SUOS/!2023/09_03_01_SUOS_2023.pdf (data obrashcheniya: 28.02.2024) (In Russian).