A Goal Programming Model for Controlling Fund Diversion and Payment Delays in MBG Program
DOI:
https://doi.org/10.9744/jremb.3.1.22-28Keywords:
Principal–Agent, Goal Programming, fund diversion, payment delay, nutrition programAbstract
The Free Nutritious Meal Program (MBG) involves a tiered flow of funds from the National Nutrition Agency (BGN) to foundations that contract local catering partners. In practice, two recurrent problems emerge: partial diversion of program funds and delays in payments to caterers. These issues threaten service quality and the financial sustainability of small catering providers. This paper develops a mathematical model that combines principal–agent theory and goal programming to support policy design for BGN. The foundation’s utility captures legal margin, potential diversion, and expected monetary penalties that depend on audit intensity and audit effectiveness. The principal (BGN) pursues three goals simultaneously: minimizing total diverted funds, minimizing weighted payment delays, and limiting total audit cost. Individual rationality (IR) and incentive compatibility (IC) constraints are incorporated to ensure foundations are willing to participate and prefer honest behavior. The resulting nonlinear goal programming formulation provides a structured way to explore trade-offs and to select audit and penalty parameters consistent with MBG objectives. A small numerical illustration demonstrates how the model operates and how policy parameters influence outcomes.
References
Amalia, D. S., & Hidayat, M. T. (2025). Penerapan Prinsip-Prinsip Ekonomi dalam Pengelolaan Organisasi Sektor Publik. Journal of Social Humanities and Education, 1(1), 39–46.
Andini, S. T. (2025). Free Nutritious Meals and Food Availability: Strengthening Community Nutrition for Indonesian Children. Journal of Nutrition and Health Care, 2(2), 74–81. https://doi.org/10.62012/junic.vi.30
Azizi, M. S. I. (2025). Kontroversi Pendanaan dan Efektivitas Program Makan Gratis di Sekolah Dasar. Arunika Widya: Jurnal Pendidikan Dasar Dan Menengah, 1(1), 77–88.
Bettinger, P. (2025). Goal Programming. In Forest Harvest Scheduling: From Linear Programming to Heuristic Search (2nd ed., pp. 99–114). Springer Nature. https://doi.org/10.1007/978-3-031-72990-2_6
Blonz, J. A. (2023). The costs of misaligned incentives: Evidence from the residential energy sector. American Economic Journal: Economic Policy, 15(3), 239–276. https://doi.org/10.1257/pol.20210799
Börgers, T. (2015). An introduction to the theory of mechanism design. Oxford university press. Chang, C. T. (2011). Multi-choice goal programming with utility functions. European Journal of Operational Research, 215(2), 439–445. https://doi.org/10.1016/j.ejor.2011.05.006
Chen, J., & Dai, Y. H. (2023). Multiobjective optimization with least constraint violation: optimality conditions and exact penalization. Journal of Global Optimization, 87(2), 807–830. https://doi.org/10.1007/s10898-023-01286-3
Corgnet, B., Gómez-Miñambres, J., & Hernán-Gonzalez, R. (2018). Goal setting in the principal–agent model: Weak incentives for strong performance. Games and Economic Behavior, 109, 311–326.
Deb, K., Sindhya, K., & Hakanen, J. (2016). Multi-objective optimization. In Decision Sciences: Theory and Practice (pp. 161–200). https://doi.org/10.1201/9781315374970-5
Febryanti, I., Indiati, I., Pane, M. A., & Astuti, P. (2025). Implementasi Kebijakan Makan Bergizi Gratis (MBG) Berdasarkan Peraturan Presiden Nomor 83 Tahun 2024 tentang Badan Gizi Nasional (Studi Pada SDN 3 Kepanjen Kabupaten Malang. Dialogue: Jurnal Ilmu Administrasi Publik, 7(1), 067–079.
Gulbakyt, S., Abdualiyev, A., Sagnayeva, S., & Suhrab, Y. (2025). Dynamic model for budget allocation via multi-criteria optimization. Journal of Applied Data Sciences, 6(4), 3075–3088. https://doi.org/10.47738/jads.v6i4.935
Hayati, N. (2020). Corporate Governance, Disclosure Dan General Equilibrium Terhadap Asymmetry Information-Perspektif Ekonomi Mikro Dan Perspektif Akuntansi. Jurnal Akademi Akuntansi, 3(1), 90–99.
Holschneider, S., Subandoro, A. W., Karjadi, E., Provo, A. M., Herkutanto, R., Ayuningtyas, P., & Sudarjo, M. N. (2021). Improving the Quality of Frontline Nutrition Services in Indonesia’s Health Sector. World Bank.
Jiang, B., Meng, X., Wen, Z., & Chen, X. (2023). An exact penalty approach for optimization with nonnegative orthogonality constraints. Mathematical Programming, 198(1), 855–897. https://doi.org/10.1007/s10107-022-01824-z
Jones, D., & Tamiz, M. (2016). A review of goal programming. Multiple criteria decision analysis: State of the art surveys (pp. 903–926).
Lee, S. M. (2020). Goal Programming. In A. G. Holzman (Ed.), Mathematical Programming for Operations Researchers and Computer Scientists (pp. 101–122). https://doi.org/10.1201/9781003066341-5
Lendra, I. W., Husni, D., & Fitriani, Y. (2025). Kebijakan Makan Bergizi Gratis dan Relevansinya terhadap Nilai-nilai Good Governance: Analisis Kualitatif dalam Administrasi Publik. Arus Jurnal Sosial Dan Humaniora, 5(1), 937–945.
Maimunah, S., & Sardjono, S. (2024). Analysis of the influence of service quality, prices and perceptions taste towards customer satisfaction and loyalty at the store “Mie Liho Mie Kiro” Gresik. Jurnal Riset Ekonomi, Manajemen, Dan Bisnis, 1(1), 38–44. Retrieved from https://ojs-isei.petra.ac.id/index.php/jrem/article/view/24
Makki, A. A., Sindi, H. F., Brdesee, H., Alsaggaf, W., Al-Hayani, A., & Al-Youbi, A. O. (2022). Goal programming and mathematical modelling for developing a capacity planning decision support system-based framework in higher education institutions. Applied Sciences, 12(3). https://doi.org/10.3390/app12031702
Nechi, S., Aouni, B., & Mrabet, Z. (2020). Managing sustainable development through goal programming model and satisfaction functions. Annals of Operations Research, 293(2), 747–766.
Santoso, A., Melianawati, B. D., & Ayuningtyas, E. A. (2025). Governance Analysis of the Implementation of the Free Nutritious Meal Program. Jurnal Manajemen Bisnis Dan Organisasi, 4(1), 240–270.
Sen, C. (2020). Improved Multi-Goal Programming Technique. American Journal of Operational Research, 10(3), 45–48. https://doi.org/10.4236/ajor.2020.103003
Steinle, C., Schiele, H., & Ernst, T. (2014). Information asymmetries as antecedents of opportunism in buyer-supplier relationships: Testing principal-agent theory. Journal of Business-to-Business Marketing, 21(2), 123–140.
Suprapto, F. A., Praditya, E., Dewi, R. M., & Adiyoso, W. (2025). A Policy Implementation Review of the Free Nutritious Meal (MBG) Program. The Journal of Indonesia Sustainable Development Planning, 6(2), 297–312. https://doi.org/10.46456/jisdep.v6i2.798
Venkateswarlu, B., Unnissa, M. M., & Mahaboob, B. (2016). Estimating cost analysis using goal programming. Indian Journal of Science and Technology, 9(44). https://doi.org/10.17485/ijst/2016/v9i44/101962
Vohra, R. V. (2011). Mechanism design: a linear programming approach. Cambridge University Press. https://doi.org/https://doi.org/10.1017/CBO9780511979243
Wang, X., Ferreira, F. A. F., & Yan, P. (2025). A multi-objective optimization approach for integrated risk-based internal audit planning. Annals of Operations Research, 346(2), 1811–1840. https://doi.org/10.1007/s10479-023-05228-2
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