{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T14:22:11Z","timestamp":1742912531949,"version":"3.40.3"},"publisher-location":"Cham","reference-count":14,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031791185"},{"type":"electronic","value":"9783031791192"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025]]},"DOI":"10.1007\/978-3-031-79119-2_18","type":"book-chapter","created":{"date-parts":[[2025,1,30]],"date-time":"2025-01-30T21:38:23Z","timestamp":1738273103000},"page":"242-255","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Optimal Timing of\u00a0Investment and\u00a0Debt Payment in\u00a0Production Expansion with\u00a0the\u00a0Use of\u00a0External Financing"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1922-3979","authenticated-orcid":false,"given":"Anna","family":"Flerova","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5319-3489","authenticated-orcid":false,"given":"Aleksandra","family":"Zhukova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,1,31]]},"reference":[{"key":"18_CR1","doi-asserted-by":"crossref","unstructured":"Flerova, A., Zhukova, A.: Production expansion in presence of a bank account. In: Conference Proceedings: 2022 15th International Conference Management of Large-Scale System Development (MLSD), pp. 1\u20134. IEEE (2022)","DOI":"10.1109\/MLSD55143.2022.9934534"},{"key":"18_CR2","doi-asserted-by":"crossref","unstructured":"Flerova, A., Zhukova, A.: Analysis of the model of optimal expansion of a firm. In: Advances in Optimization and Applications. OPTIMA 2022. Communications in Computer and Information Science, vol. 1739, pp. 109\u2013123. Springer, Cham (2022)","DOI":"10.1007\/978-3-031-22990-9_8"},{"key":"18_CR3","doi-asserted-by":"crossref","unstructured":"Flerova, A., Zhukova, A.: The role of inflation and time discounting in production expansion. In: 4th International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA). IEEE (2022)","DOI":"10.1109\/SUMMA57301.2022.9974049"},{"key":"18_CR4","doi-asserted-by":"crossref","unstructured":"Delev, A., Flerova, A., Zhukova, A.: Application of Machine Learning in the producer\u2019s optimal control problem with non-stable demand. In: 8th International Conference on Control, Decision and Information Technologies (CoDIT), pp. 867\u2013871. IEEE (2022)","DOI":"10.1109\/CoDIT55151.2022.9803997"},{"issue":"1","key":"18_CR5","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1016\/j.ejor.2015.10.051","volume":"250","author":"E Lukas","year":"2016","unstructured":"Lukas, E., M\u00f6lls, S., Welling, A.: Venture capital, staged financing and optimal funding policies under uncertainty. Eur. J. Oper. Res. 250(1), 305\u2013313 (2016)","journal-title":"Eur. J. Oper. Res."},{"issue":"3","key":"18_CR6","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1134\/S0965542523030107","volume":"63","author":"NK Obrosova","year":"2023","unstructured":"Obrosova, N.K., Shananin, A.A.: Analysis of mechanisms of production investment stimulation in an imperfect capital market based on a mathematical model. Comput. Math. Math. Phys. 63(3), 369\u2013385 (2023)","journal-title":"Comput. Math. Math. Phys."},{"issue":"5","key":"18_CR7","doi-asserted-by":"publisher","first-page":"2982","DOI":"10.1287\/opre.2021.2171","volume":"70","author":"Z Wang","year":"2022","unstructured":"Wang, Z., Zenios, S.: New venture creation: a drift-variance diffusion control model. Oper. Res. 70(5), 2982\u20132997 (2022)","journal-title":"Oper. Res."},{"key":"18_CR8","doi-asserted-by":"crossref","unstructured":"Chernov, A., Flerova, A., Zhukova, A.: Application of optimization methods in solving the problem of optimal control of assets and liabilities by a bank. Lecture Notes in Computer Science, pp. 235\u2013250. Springer (2023)","DOI":"10.1007\/978-3-031-47859-8_17"},{"key":"18_CR9","doi-asserted-by":"crossref","unstructured":"Zhukova, A., Flerova, A., Chernov, A., Pilnik, N.: Mathematical model of asset and liability management in the presence of normative and internal constraints. In: 2023 5th International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA), pp. 430\u2013433 (2023)","DOI":"10.1109\/SUMMA60232.2023.10349388"},{"key":"18_CR10","doi-asserted-by":"publisher","first-page":"267","DOI":"10.2307\/1911976","volume":"42","author":"H Halkin","year":"1974","unstructured":"Halkin, H.: Necessary conditions for optimal control problems with infinite horizons. Econometrica: J. Econometric Soc. 42, 267\u2013272 (1974)","journal-title":"Econometrica: J. Econometric Soc."},{"key":"18_CR11","series-title":"Dynamic Modeling and Econometrics in Economics and Finance","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-642-02132-9_1","volume-title":"Dynamic Systems, Economic Growth, and the Environment","author":"S Pickenhain","year":"2010","unstructured":"Pickenhain, S.: On adequate transversality conditions for infinite horizon optimal control problems - a famous example of Halkin. In: Crespo Cuaresma, J., Palokangas, T., Tarasyev, A. (eds.) Dynamic Systems, Economic Growth, and the Environment. Dynamic Modeling and Econometrics in Economics and Finance, vol. 12, pp. 3\u201322. Springer, Heidelberg (2010)"},{"key":"18_CR12","doi-asserted-by":"crossref","unstructured":"Khlopin, D.V.: On necessary boundary conditions for strongly optimal control in infinite horizon control problems. Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp\u2019yuternye Nauki 1, 49\u201358 (2013)","DOI":"10.20537\/vm130106"},{"key":"18_CR13","unstructured":"Arutyunov, A.V.: Magaril-Il\u2019yaev, G.G., Tikhomirov, V.M.: Pontryagin: Maximum principle. Proof and applications. Factorial Press, Moscow (2006)"},{"key":"18_CR14","unstructured":"Beklaryan, L.A., Flerova, A.Y., Zhukova, A.A.: Optimal control methods: textbook. URSS, Moscow (2023)"}],"container-title":["Lecture Notes in Computer Science","Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-79119-2_18","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,30]],"date-time":"2025-01-30T21:38:28Z","timestamp":1738273108000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-79119-2_18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783031791185","9783031791192"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-79119-2_18","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"31 January 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"OPTIMA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Optimization and Applications","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Petrovac","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Montenegro","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 September 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"19 September 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"optima2024a","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}