2018
DOI: 10.1016/j.ijpe.2018.06.020
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Energy-aware lot sizing problem: Complexity analysis and exact algorithms

Abstract: The single-item lot sizing problem under a periodic energy limitation is considered in this paper. Identical and parallel capacitated machines constitute the production system, each one consuming a certain amount of energy when being switched on, when reserved, and when producing. We consider a cost for starting-up the machines, a reservation cost to keep the machines ready for production, in addition to classical lot sizing costs, such as, joint setup cost, unit production cost and unit holding cost, all bein… Show more

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Cited by 10 publications
(3 citation statements)
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References 27 publications
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“…• Theoretical development: Rapine et al (2018a) left open the question about the NP-hardness of the mixed-integer program (30)-(37). Is it NP-hard in the strong sense or in the weak sense?…”
Section: Industrial Implications and Discussionmentioning
confidence: 99%
“…• Theoretical development: Rapine et al (2018a) left open the question about the NP-hardness of the mixed-integer program (30)-(37). Is it NP-hard in the strong sense or in the weak sense?…”
Section: Industrial Implications and Discussionmentioning
confidence: 99%
“…So, most of the time, the integration of energy consumption as a restriction served as an additional energy-related factor to be taken into account. The five articles that considered energy consumption solely as a restricting consumption threshold optimized not energy-related but other economic-oriented criteria, such as makespan or tardiness (e.g., [33][34][35]), as well as costs, such as setup costs, inventory costs, idle costs, or production costs (e.g., [36,37]).…”
Section: Ecological Consideration Of Energy Consumptionmentioning
confidence: 99%
“…To deal with the lot-sizing programming models under various industrial environments, specific algorithms and optimization strategies need to be designed and embedded to derive the best solution. Many exact algorithms and heuristic algorithms have been designed to resolve lot-sizing optimization problems under different industrial scenarios and discrepant considerations (Adacher and Cassandras, 2014; Brahimi and Dauzèrepérès, 2015; Halman et al , 2012; Rapine et al , 2018).…”
Section: Literature Reviewmentioning
confidence: 99%