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Author Osorio-Valenzuela, L.; Pereira, J.; Quezada, F.; Vasquez, O.C. doi  openurl
  Title Minimizing the number of machines with limited workload capacity for scheduling jobs with interval constraints Type
  Year 2019 Publication Applied Mathematical Modelling Abbreviated Journal Appl. Math. Model.  
  Volume 74 Issue Pages 512-527  
  Keywords Scheduling; Parallel machines; Interval and workload constraints; Branch-and-price  
  Abstract In this paper, we consider a parallel machine scheduling problem in which machines have a limited workload capacity and jobs have deadlines and release dates. The problem is motivated by the operation of energy storage management systems for microgrids under emergency conditions and generalizes some problems that have already been studied in the literature for their theoretical value. In this work, we propose heuristic and exact algorithms to solve the problem. The heuristics are adaptations of classical bin packing heuristics in which additional conditions on the feasibility of a solution are imposed, whereas the exact method is a branch-and-price approach. The results show that the branch-andprice approach is able to optimally solve random instances with up to 250 jobs within a time limit of one hour, while the heuristic procedures provide near optimal solution within reduced running times. Finally, we also provide additional complexity results for a special case of the problem. (C) 2019 Elsevier Inc. All rights reserved.  
  Address [Osorio-Valenzuela, Luis] Univ Santiago Chile, Elect Engn Dept, Santiago, Chile, Email:;  
  Corporate Author Thesis  
  Publisher Elsevier Science Inc Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0307-904x ISBN (down) Medium  
  Area Expedition Conference  
  Notes WOS:000474317800031 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 1013  
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