The study presents an advanced multistate stochastic model designed to optimize business decisions in uncertain environments. It concentrates on aggregate production planning, incorporating random demand fluctuations and random product returns. The primary objective is to develop a stochastic model for aggregate production planning within the context of reverse logistics and uncertainty, providing critical insights for decision-makers in the realms of inventory management, production scheduling, and cost control. The effectiveness of the model is validated through detailed numerical examples, demonstrating its adaptability to varying assumptions and its capacity to yield logical, cost-effective results. Key performance indicators, such as total cost and inventory levels, are scrutinized to ensure the model’s practical relevance. An extensive sensitivity analysis is conducted, revealing how changes in costs and parameters of the probability distributions used to model uncertainty impact decision variables and overall system performance. This analysis underscores the utility of the model in strategic business planning, particularly in uncertain markets. The significance of accounting for uncertainty in decision-making processes is emphasized, as it is crucial for achieving realistic and efficient outcomes. The paper also delves into the computational challenges associated with solving complex stochastic models, acknowledging that computational time increases exponentially with the complexity of the problem. Despite this challenge, the model is highlighted as a potent tool for improving operational efficiency and profitability in various industries. Moreover, the study discusses potential applications of the model across different sectors, suggesting that its principles can be adapted to suit specific industry needs. By addressing both theoretical and practical aspects of aggregate production planning under uncertainty, the study offers a comprehensive framework that can significantly enhance decision-making capabilities in dynamic business environments.

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Aggregate Production Planning in a Reverse Logistics Context Under Uncertainty of Demand and Service Level

  • Héctor Rivera-Gomez,
  • Irma Delia Rojas Cuevas,
  • Ciro Alberto Amaya Guio,
  • Lorena Andrea Bearzotti Pilomeno,
  • Marco Antonio Montufar Benitez

摘要

The study presents an advanced multistate stochastic model designed to optimize business decisions in uncertain environments. It concentrates on aggregate production planning, incorporating random demand fluctuations and random product returns. The primary objective is to develop a stochastic model for aggregate production planning within the context of reverse logistics and uncertainty, providing critical insights for decision-makers in the realms of inventory management, production scheduling, and cost control. The effectiveness of the model is validated through detailed numerical examples, demonstrating its adaptability to varying assumptions and its capacity to yield logical, cost-effective results. Key performance indicators, such as total cost and inventory levels, are scrutinized to ensure the model’s practical relevance. An extensive sensitivity analysis is conducted, revealing how changes in costs and parameters of the probability distributions used to model uncertainty impact decision variables and overall system performance. This analysis underscores the utility of the model in strategic business planning, particularly in uncertain markets. The significance of accounting for uncertainty in decision-making processes is emphasized, as it is crucial for achieving realistic and efficient outcomes. The paper also delves into the computational challenges associated with solving complex stochastic models, acknowledging that computational time increases exponentially with the complexity of the problem. Despite this challenge, the model is highlighted as a potent tool for improving operational efficiency and profitability in various industries. Moreover, the study discusses potential applications of the model across different sectors, suggesting that its principles can be adapted to suit specific industry needs. By addressing both theoretical and practical aspects of aggregate production planning under uncertainty, the study offers a comprehensive framework that can significantly enhance decision-making capabilities in dynamic business environments.