Project scheduling under partially renewable resources and resource consumption during setup operations

• A RCPSP formulation that can deal with realistic energy constraints is proposed.
• An integer program and a constraint program of the RCPSP are presented.
• A method to restrict selectable modes is proposed.
• Results of computation evaluation reveal show effectiveness of the proposed method.

There has been an increasing pressure on manufacturing industries to reduce energy consumption. In this study, we propose a new variant of RCPSP called RCPSP/πRC, which can deal with realistic energy constraints such as power restriction during peak hours, contract demand, and energy consumption during setup operations. First, we present an integer programming (IP) model and a constraint programming (CP) model of the RCPSP/πRC. Next, we present a heuristic mode restriction method called a mask calculation algorithm to achieve efficient searching by restricting selectable modes. Finally, through computational experiments, we evaluate the proposed methods and show their effectiveness.