BRIEF RESEARCH REPORT article
Front. Sustain.
Sec. Sustainable Supply Chain Management
Mathematical modeling for a class of two echelons sustainable dynamic supply chain
Provisionally accepted
- 1Technological Institute of Los Mochis, Ahome, Mexico
- 2The University of Texas at El Paso, El Paso, United States
- 3Tecnologico de Monterrey, Monterrey, Mexico
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This technical note presents a perspective in creation of value with time delayed agri-food supply chains (AFSC), with its respective impact on dynamic pricing, human resources and sustainability. In general, analyzing AFSC, may seem like straightforward problems given the complexity involved in managing dynamic pricing, sustainability tradeoffs, and establishing ethnographic measures to improve worker productivity from an operational perspective. In this work, a mathematical model incorporating time delays is presented for the two tier supply chain of producers and consumers, under certain assumptions. Also, finite time optimal control problem is addressed via Pontryagin Maximum Principle in analytical form. Finally, a stability and sensitivity analysis is conducted for a system with losses in the production and consumer states of the dynamic supply chain.
Keywords: creation of value, Dynamic supply chains, mathematical modeling, optimal control, time delays
Received: 20 Dec 2025; Accepted: 26 Jan 2026.
Copyright: © 2026 Davizon, Sanchez-Leal, Smith and Smith. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Yasser Davizon
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