Mathematical programming formulations for single-machine scheduling problems while considering renewable energy uncertainty
针对可再生能源（如风能、太阳能）的不确定性，用区间数理论建模，提出两种新的单机调度问题，并给出求解方法，帮助生产管理者直观理解不确定性对调度结果的影响。
Carbon dioxide (CO2) in particular is by far the primary driver of global warming. One of the most effective ways to reduce CO2 emissions is to increase the amount of power from renewable energy. A key challenge in utilising renewable energies, such as wind and solar, is their uncertainty in terms of when and to what degree and force renewable energies will become available next time. This study uses interval number theory for renewable energy in uncertainty modelling and proposes two novel interval single-machine scheduling problems, and . A solution procedure is formulated to optimise these problems with interval numbers using interval arithmetic. Additionally, this study derives Pareto-optimal solutions of the bi-objective optimisation problem, , using the lexicographic-weighted Tchebycheff method. Some managerial implications are obtained by parameter analysis. Analytical results offer decision-makers an intuitive view of how these factors impact scheduling results and provide practical guidelines for real-life production.