<p>Sustainability has become a critical objective in modern manufacturing systems due to increasing environmental concerns and resource limitations. This study develops a sustainable manufacturing model by incorporating system reliability under a ramp-type time-dependent demand pattern. The production system operates at two variable production rates Apλ and Aapλ. Demand follows a ramp-type pattern during production and shortage periods and stabilizes at constant rates. Shortages are permitted and partially backlogged, reflecting practical customer purchasing behaviour. The model considers item deterioration governed by a Weibull distribution to enhance real-world applicability; inflation effects are incorporated into the cost structure. In addition, sustainability and energy-efficiency considerations are integrated into the manufacturing process to reduce environmental impact and support green production practices. The objective is to determine the optimal production and inventory policies that minimize the total system cost while maintaining reliability, operational efficiency, and environmental sustainability. Numerical analyses demonstrate the influence of reliability, deterioration, inflation, and demand dynamics on system performance, providing valuable managerial insights for achieving sustainable and cost-effective manufacturing operations in competitive markets. In this study, sensitivity analysis is carried out, the best solution is found, and the software (MATHEMATICA) is operated to numerically demonstrate the accuracy of a model. The results are illustrated using numerical examples. Graphical representation is used to compare how different parameters influence the optimum output.</p>

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Towards Sustainable Manufacturing: Reliability and Weibull Deterioration under Ramp-Type Time-Dependent Demand

  • Divya Bharti,
  • Surbhi Singhal,
  • S. R. Singh

摘要

Sustainability has become a critical objective in modern manufacturing systems due to increasing environmental concerns and resource limitations. This study develops a sustainable manufacturing model by incorporating system reliability under a ramp-type time-dependent demand pattern. The production system operates at two variable production rates Apλ and Aapλ. Demand follows a ramp-type pattern during production and shortage periods and stabilizes at constant rates. Shortages are permitted and partially backlogged, reflecting practical customer purchasing behaviour. The model considers item deterioration governed by a Weibull distribution to enhance real-world applicability; inflation effects are incorporated into the cost structure. In addition, sustainability and energy-efficiency considerations are integrated into the manufacturing process to reduce environmental impact and support green production practices. The objective is to determine the optimal production and inventory policies that minimize the total system cost while maintaining reliability, operational efficiency, and environmental sustainability. Numerical analyses demonstrate the influence of reliability, deterioration, inflation, and demand dynamics on system performance, providing valuable managerial insights for achieving sustainable and cost-effective manufacturing operations in competitive markets. In this study, sensitivity analysis is carried out, the best solution is found, and the software (MATHEMATICA) is operated to numerically demonstrate the accuracy of a model. The results are illustrated using numerical examples. Graphical representation is used to compare how different parameters influence the optimum output.