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Conference Papers Year : 2023

Energy-efficient lot-sizing with intermittent renewable sources


With the increasing concern on climate changes and global warming, industrial companies, one of the largest carbon emitters, are urged to reduce the carbon footprint of their manufacturing processes. Moreover, the sharp increase of the energy prices globally put strong pressures on industrial companies, especially those using energy-intensive processes. A potential solution to cope with these two challenges is to build, directly on the manufacturing site, a decentralized energy system involving power generation units using renewable energy sources (solar, wind…). However, the quantity of on-site generated electricity will be highly variable so that it will still be necessary to buy electricity at a time-varying price from an external energy to power the industrial process. As a consequence, the energy cost of a manufacturing site depends not only on the total amount of consumed energy but also on the timing of this consumption, which itself depends on production planning decisions. An integrated production planning and energy supply planning problem should thus be studied. This work focuses on simultaneously planning the industrial operations and energy supply for an industrial plant equipped with a local energy system, including a renewable energy power generation system and an energy storage system. The production planning problem is modeled as a single-machine multi-item lot-sizing problem with time-dependent changeover times and costs. A new modeling approach based on a two-level discretization of the finite planning horizon is proposed. Thus, a first coarse time discretization is used to track the demand satisfaction. A second finer time discretization is introduced to track the energy consumption, generation and trading and to build the industrial production plan. To model the problem as a mixed-integer linear program, we introduce a new extension of a small-bucked lot-sizing model called the Proportional Lot-sizing and Scheduling Problem. This extension involves among others sequence-dependent changeover times overlapping multiple periods and energy-related constraints. Our numerical results show that the resulting mathematical model enables to obtain good-quality production and energy supply plans with a computational effort much smaller than the one required by a previously published model based on a large-bucket lot-sizing model.
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Dates and versions

hal-04389358 , version 1 (11-01-2024)


  • HAL Id : hal-04389358 , version 1


Ruiwen Liao, Céline Gicquel. Energy-efficient lot-sizing with intermittent renewable sources. IFORS2023 - 23rd Conference of the International Federation of Operational Research Societies, Jul 2023, Santiago (CL), Chile. ⟨hal-04389358⟩
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