Morvarid Derakhshan Andisheh Journal of Quality Engineering and Management 3134-0849 14 1 2024 05 21 The optimization of process target means in different markets The optimization of process target means in different markets 68 78 215014 10.48313/jqem.2025.215014 FA Mohammad Saber Fallah Nezhad Department of Industrial Engineering, Yazd University, Yazd, Iran. 0000-0003-3343-2769 Hossein Tarafdar Department of Industrial Engineering, Yazd University, Yazd, Iran. Leila Hosseini Department of Industrial Engineering, Yazd University, Yazd, Iran. Journal Article 2023 11 07 <strong>Purpose:</strong> Calculating the optimal target mean for a process is recognized as an essential research area, with many proposed models in the literature. Previous studies have typically focused on a single market. The main difference in this research lies in the number of markets considered; unlike previous works, this study examines n different markets simultaneously.<br><strong>Methodology:</strong> This study aims to determine the optimal process quality mean for a limited number of markets based on the target values of quality characteristics in each market. We propose a model to calculate this optimal mean across n markets with different price/cost structures. A key innovation of this research is the incorporation of probability distributions that reflect the likelihood of the quality characteristic falling within specific quality ranges in each market.<br><strong>Findings:</strong> The model considers the probability that the quality characteristic falls within each market's defined quality range. To analyze and solve the model, absorbing Markov chains are used. A numerical example is presented in which the model is applied to two markets, and the optimal target mean and corresponding optimal revenue are obtained.<br><strong>Originality/Value:</strong> Based on the results from the numerical example, the optimal target mean and revenue were determined for the two markets. A sensitivity analysis was conducted to assess the influence of various model parameters on these parameters, demonstrating how changes in parameters impact the model's outcomes. <strong>Purpose:</strong> Calculating the optimal target mean for a process is recognized as an essential research area, with many proposed models in the literature. Previous studies have typically focused on a single market. The main difference in this research lies in the number of markets considered; unlike previous works, this study examines n different markets simultaneously.<br><strong>Methodology:</strong> This study aims to determine the optimal process quality mean for a limited number of markets based on the target values of quality characteristics in each market. We propose a model to calculate this optimal mean across n markets with different price/cost structures. A key innovation of this research is the incorporation of probability distributions that reflect the likelihood of the quality characteristic falling within specific quality ranges in each market.<br><strong>Findings:</strong> The model considers the probability that the quality characteristic falls within each market's defined quality range. To analyze and solve the model, absorbing Markov chains are used. A numerical example is presented in which the model is applied to two markets, and the optimal target mean and corresponding optimal revenue are obtained.<br><strong>Originality/Value:</strong> Based on the results from the numerical example, the optimal target mean and revenue were determined for the two markets. A sensitivity analysis was conducted to assess the influence of various model parameters on these parameters, demonstrating how changes in parameters impact the model's outcomes. https://www.pqprc.ir/article_215014_af1193c6404dcd9877f24cde40e418e8.pdf