LEONTIEF MATRIX: BUSINESS MODEL RECOMMENDATION FOR EXPORT COMMODITY OF NORTH SUMATERA

Authors

  • Nur Khasanah UIN Walisongo Semarang
  • Nikken Prima Puspita Universitas Diponegoro
  • Fitriana Hasnani Universitas Lampung
  • Meryta Febrilian Fatimah Universitas Sulawesi Barat
  • Zakaria Bani Ikhtiyar Institut Teknologi Statistika dan Bisnis Muhammadiyah Semarang

DOI:

https://doi.org/10.25077/jmua.15.1.95-107.2026

Keywords:

Internal and external demand, Linear algebra, Open sector

Abstract

The open model as the one the application of Leontief model using the explanation of the economy with input-output model. The open model shows the number of productions needed to satisfy an increase in internal and external demand. By using the operation linear algebra operation on ring characteristics, then the production numbers are calculated. This method is applied on the ten product-producing commodities of North Sumatera export demand to find the total production number, while the amount of demand is defined. It shows a solution to the minimization linear program is the solution that will satisfy both internal and external demands of the commodity with minimum inventory level.

Downloads

Download data is not yet available.

References

[1] Sierksma, G., 1979, Non-Negative Matrices: The Open Leontlef Model, LINEAR ALGEBRA AND ITS APPLICATTONS, Volume : 26

[2] Anton, H., Rorres, C., 2005, Student Solution Manual: Elementary Linear Algebra., 11th Edition, Wiley, Canada

[3] Arbex, M., Perobelli, F. S., 2010, Solow meets Leontief: Economic growth and energy consumption, Energy Economics, Volume : 32(1), 43–53

[4] Jensen, I., 2001, The Leontief Open Production Model or Input-Output Analysis

[5] Ebiefung, A. A., Kostreva, M. M., 1993, The generalized Leontief input-output model and its application to the choice of new technology, Annals of Operations Research, Volume : 44(2), 161–172

[6] Anas, R., Tamin, O. Z., Wibowo, S. S., 2015, Applying input-output model to estimate the broader economic benefits of Cipularang Tollroad Investment to Bandung District, Procedia Engineering, Volume : 125, 489–497

[7] Nowaczyk, P., 2021, The Leontief Model in Research into the Economic Importance of Small Seaports: A Case Study, European Research Studies Journal, Volume : 24

[8] Dobrescu, E., Gaftea, V Scutaru, C., 2010, USING THE LEONTIEF MATRIX TO ESTIMATE THE IMPACT OF INVESTMENTS UPON THE GLOBAL OUTPUT1., Romanian Journal of Economic Forecasting, Volume : 2

[9] Zhu, R., Hu, X., Liu, C., 2020, Structural analysis of inter-industrial linkages: an application to the Australian construction industry, Construction Management and Economics, Volume : 38(10), 934–946

[10] Obikwere, C., Ebiefung, A. A. , 2014, THE LEONTIEF INPUT-OUTPUT PRODUCTION MODEL ANDITS APPLICATION TO INVENTORY CONTROL, ASIAN JOURNAL OF MATHEMATICS AND APPLICATIONS, Volume : 2014

[11] Yay, G. G., Keçeli, S., 2009, The intersectoral linkage effects in Turkish economy: An application of static leontief model, Panoeconomicus, Volume : 56(3), 301–326

[12] Istiqomah, R. N., Fayeldi, T., 2016, Leontief Input-Output Method for The Fresh Milk Distribution Linkage Analysis, CAUCHY, Volume : 4(3), 120

[13] Anton, H., Rorres, C., Kaul, A., 2022, Leontief Input-Output Models Inputs and Outputs in an Economy Leontief Model of an Open Economy, July, 1–6, Wiley, Canada

[14] Ryan, J. M. , 1953, The Leontief System, Journal, Volume : 19(4)

[15] Mckenzie, L., 1957, An Elementary Analysis of the Leontief System, Econometrica, Volume : 25(3)

[16] Silva, M. S., De Lima, T. P. , 2003, Looking for nonnegative solutions of a Leontief dynamic model, Linear Algebra and Its Applications, Volume : 364, 281–316

Downloads

Published

26-01-2026

How to Cite

Khasanah, N., Puspita, N. P., Hasnani, F., Fatimah, M. F., & Ikhtiyar, Z. B. (2026). LEONTIEF MATRIX: BUSINESS MODEL RECOMMENDATION FOR EXPORT COMMODITY OF NORTH SUMATERA. Jurnal Matematika UNAND, 15(1), 95–107. https://doi.org/10.25077/jmua.15.1.95-107.2026

Issue

Vol. 15 No. 1 (2026)

Section

Articles

License

Copyright (c) 2026 Departemen Matematika dan Sains Data FMIPA UNAND

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

All articles published in Jurnal Matematika UNAND (JMUA) are open access and licensed under the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0). This license allows published content to be freely accessed, shared, redistributed, and adapted for any purpose, including commercial use, provided that the applicable license conditions are followed.

Copyright Holder

The copyright of articles published in Jurnal Matematika UNAND is held by the Departemen Matematika dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA), Universitas Andalas (UNAND), in accordance with the journal's stated copyright policy.

Author Rights

Under the CC BY-SA 4.0 license, authors may share, distribute, and reuse their published articles, subject to the applicable license conditions. These rights include:

  • Self-Archiving: Authors may deposit their published articles in institutional repositories, personal websites, or academic platforms.

  • Reuse: Authors may reuse their published work in subsequent publications, research, teaching materials, or other lawful purposes, provided that appropriate attribution is maintained.

  • Distribution: Authors may share and distribute their published articles without requiring additional permission under the terms of the license.

Creative Commons License (CC BY-SA 4.0)

Under the CC BY-SA 4.0 license, users are free to:

  • Share: Copy and redistribute the material in any medium or format.

  • Adapt: Remix, transform, and build upon the material for any purpose, including commercial purposes.

These permissions are subject to the following conditions:

  • Attribution: Users must give appropriate credit to the original author(s), retain relevant copyright notices, provide a link to the license, and indicate if changes were made. Attribution must not imply endorsement by the author(s), copyright holder, or journal.

  • ShareAlike: If users remix, transform, or build upon the material, they must distribute their contributions under the same CC BY-SA 4.0 license or a compatible license.

  • No Additional Restrictions: Users may not apply legal terms or technological measures that legally restrict others from exercising the rights granted by the license.

For more information about the CC BY-SA 4.0 license, please visit:

https://creativecommons.org/licenses/by-sa/4.0/

Third-Party Content

Third-party materials, including figures, tables, photographs, and illustrations, are covered by the article's CC BY-SA 4.0 license only when their inclusion under that license is authorized.

Materials excluded from the license must be clearly identified with appropriate copyright notices and attribution. Authors are responsible for obtaining any necessary permissions, while users must comply with the applicable licensing terms or permissions when reusing excluded materials.

Copyright and Licensing Information

Copyright and licensing information should be clearly displayed on each published article's landing page and included in the full-text versions (HTML and PDF), where applicable, to ensure transparency regarding copyright ownership and permitted reuse.