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Modeling and optimization of the number of graduates in a multi-specialization study program | ||
| Journal of Mathematical Modeling | ||
| مقاله 14، دوره 13، شماره 4، اسفند 2025، صفحه 967-982 اصل مقاله (399.33 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.29244.2602 | ||
| نویسنده | ||
| Jonathan Hoseana* | ||
| Parahyangan Catholic University | ||
| چکیده | ||
| Consider a study program which offers a number of specializations, and requires all students to be enrolled in exactly one specialization at any given time. We construct a continuous mathematical model governing the time evolution of the number of students enrolled in each of the program's specializations. Using the model, we further construct an optimization problem describing the search of an intervention strategy which maximizes the program's total number of graduates, along with a framework for sensitivity analysis. We discretize the constructs accordingly, and employ a coordinate-descent method to solve the optimization problem numerically in two simulated scenarios involving two and four specializations, respectively, describing the results' practical implications. | ||
| کلیدواژهها | ||
| Specialization؛ optimization؛ sensitivity analysis؛ discretization؛ coordinate descent | ||
| مراجع | ||
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[1] M.J. Ahmad, K. G¨unel, Can neural networks estimate parameters in epidemiology models using real observed data?, Appl. Intell. 55 (2025) 133. [2] M. Anelli, G. Peri, Peers’ Composition Effects in the Short and in the Long Run: College Major, College Performance and Income, Institute for the Study of Labor, 2015. [3] A.O. Bafail, A.A. Moreb, Optimal allocation of students to different departments in an engineering college, Comput. Ind. Eng. 25 (1993) 295–298. [4] M. Beffy, D. Foug´ere, A. Maurel, Choosing the field of study in post-secondary education: Do expected earnings matter?, Rev. Econ. Stat. 94 (2012) 334–347. [5] M.C. Berger, Predicted future earnings and choice of college major, Ind. Labor Relat. Rev. 41 (1988) 418–429. [6] B. Boudarbat, Field of study choice by community college students in Canada, Econ. Educ. Rev. 27 (2008) 79–93. [7] B. Boudarbat, C. Montmarquette, Choice of fields of study of university Canadian graduates: The role of gender and their parents’ education, Educ. Econ. 17 (2009) 185–213. [8] N. Chitnis, J.M. Hyman, J.M. Cushing, Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model, Bull. Math. Biol. 70 (2008) 1272–1296. [9] F.C. Coelho, C.T. Codeco, M.G.M. Gomes, A Bayesian framework for parameter estimation in dynamical models, PLoS ONE 6 (2011) e19616. [10] L.M. Creighton, Factors affecting the graduation rates of university students from underrepresented populations, Int. Electron. J. Leadersh. Learn. 11 (2007) 7. [11] A.W. El-Bouri, A. Al-Zaidi, Allocation of college students to business majors with the aid of a linear programming model, 2017 IEEE International Conference on Industrial Engineering and Engineering Management, 2017. [12] J. Engle, C. O’Brien, Demography is not destiny: Increasing the graduation rates of low-income college students at large public universities, Pell Institute for the Study of Opportunity in Higher Education, 2007. [13] M. Ghonim, N. Eweda, Specialization versus generalization in undergraduate architectural educa- tion, ICCAUA 2019 Conference Proceedings, 2019. [14] G.D. Giorgi, M. Pellizzari, S. Redaelli, Be As Careful of the Books You Read As of the Company You Keep: Evidence on Peer Effects in Educational Choices, Institute for the Study of Labor, 2007. [15] Iu.V. Kuz’mina, The direct and indirect effect of family factors on the choice of a college major, Russ. Educ. Soc. 56 (2014) 53–68. [16] Q. Kong, T. Siauw, A. Bayen, Python Programming and Numerical Methods: A Guide for Engi- neers and Scientists, Academic Press, London, 2021. [17] J.P. La Salle, The Stability of Dynamical Systems, Society for Industrial and Applied Mathematics, Philadelphia, 1976. [18] S. Liao, W. Yang, A nonstandard finite difference method applied to a mathematical cholera model, Bulletin of the Korean Mathematical Society 54 (2017) 1893–1912. [19] N.J. Linden, B. Kramer, P. Rangamani, Bayesian parameter estimation for dynamical models in systems biology, PLoS ONE 19 (2023) e1011041. [20] D.G. Luenberger, Y. Ye, Linear and Nonlinear Programming, Springer, New York, 2008. [21] O. Malamud, Breadth vs. depth: The effect of academic specialization on labor market outcomes, Harris Graduate School of Public Policy Studies, 2005. [22] O. Malamud, Discovering one’s talent: Learning from academic specialization, Ind. Labor Relat. Rev. 64 (2011) 375–405. [23] R.E. Mickens, An exactly solvable model for the spread of disease, Coll. Math. J. 43 (2012) 114– 121. [24] C. Montmarquette, K. Cannings, S. Mahseredjian, How do young people choose college majors?, Econ. Educ. Rev. 21 (2002) 543–556. [25] G. Morando, Peer gender and STEM specialization, Appl. Econ. Lett. 28 (2021) 1041–1045. [26] L. Muraskin, J. Lee, Raising the graduation rates of low-income college students, Pell Institute for the Study of Opportunity in Higher Education, 2004. [27] Nilam, Cause and control strategy for infectious diseases with nonlinear incidence and treatment rate, in Mathematical Modelling and Analysis of Infectious Diseases (eds. K. Hattaf, H. Dutta) Springer, (2020) 61–81. [28] Y. Ota, N. Mizutani, Estimating parameters in mathematical model for societal booms through Bayesian inference approach, Math. Comput. Appl. 25 (2020) 42. [29] O. Poldin, D. Valeeva, M. Yudkevich, Choice of specialization: do peers matter?, Appl. Econ. 47 (2015) 4728–4740. [30] S. Pu, Y. Yan, L. Zhang, Do peers affect undergraduates’ decisions to switch majors?, Educ. Res. 50 (2021) 516–526. [31] V.S.H. Rao, M.N. Kumar, Estimation of the parameters of an infectious disease model using neural networks, Nonlinear Anal. Real World Appl. 11 (2010) 1810–1818. [32] R.E. Ripple, H.I. Ayabe, Undergraduate specialization in education: One alternative role for fac- ulties of education, Educ. Perspect. 14 (1975) 22–24. [33] R.C. Robinson, An Introduction to Dynamical Systems: Continuous and Discrete, 2nd edition, American Mathematical Society, Rhode Island, 2012. [34] B. Rubineau, S. Noh, M.A. Neblo, D.M.J. Lazer, Pathways of peer influence on major choice, Soc. Forces 102 (2024) 1089–1110. [35] H.M. Saber, J.B. Gosh, Assigning students to academic majors, Omega 29 (2001) 513–523. [36] M. Schneider, L.M. Yin, Completion matters: The high cost of low community college graduation rates, American Enterprise Institute for Public Policy Research, 2012. [37] M. Schneider, L.M. Yin, The high cost of low graduation rates: How much does dropping out of college really cost?, American Institutes for Research, 2011. [38] E. Sneyers, K.D. Witte, The interaction between dropout, graduation rates and quality ratings in universities, J. Oper. Res. Soc. 68 (2017) 416–430. [39] S.H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edition, CRC Press, Boca Raton, 2018. [40] Z. Vukic, L. Kuljaca, D. Donlagic, S. Tesnjak, Nonlinear Control Systems, Marcel Dekker, New York, 2003. [41] W. Zhang, Why IS: Understanding undergraduate students’ intentions to choose an information systems major, J. Inf. Syst. Educ. 18 (2007) 447–458. [42] U. Z¨olitz, J. Feld, The effect of peer gender on major choice in business school, Manag. Sci. 67 (2021) 6963–6979. | ||
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