The Supply Security Problem and its Solution

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DOI: https://doi.org/10.28924/2291-8639-24-2026-226
Published: Aug 3, 2026
Cite as:
Rolan J. Malvar, Alsafat M. Abdul, Paul Ryan A. Longhas, The Supply Security Problem and its Solution, Int. J. Anal. Appl., 24 (2026), 226.

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Rolan J. Malvar, Alsafat M. Abdul, Paul Ryan A. Longhas

Abstract

This study introduces a mathematical model to address the supply security problem, a critical issue in today’s global landscape. Furthermore, we present a method for efficiently identifying optimal solutions to security assignment problems, which holds significant implications for various sectors, including business and policy-making, particularly in the context of food security and supply security. Leveraging fundamental principles of convex optimization, such as proximity operators and projection onto convex sets, this study not only identifies instances where optimal solutions to security problems exist but also provides an explicit formula for the solution when it exists. Additionally, we establish the existence of pseudo-solutions in security assignment problems and demonstrate that they coincide with actual solutions when present. A key highlight of this paper is its pioneering application of convex optimization techniques to address security challenges.

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