The single -batch machine, commonly found in industrial manufacturing, can concurrently process a group of jobs in variable -speed batches, leading to fluctuating levels of both energy consumption and processing time. Identifying an optimal balance between total energy consumption and makespan presents a challenge due to the intricate nature of their relationship in real -world scenarios. This study introduces a mixed -integer programming model designed to determine optimal machine operating states for diverse workloads, meeting customer requirements while concurrently achieving energy savings...
