ELECTRICITY POWER COST-AWARE SCHEDULING OF JOBS ON PARALLEL BATCH PROCESSING MACHINES

被引:0
|
作者
Rocholl, Jens [1 ]
Moench, Lars [1 ]
Fowler, John W. [2 ]
机构
[1] Univ Hagen, Dept Math & Comp Sci, Univ Str 1, D-58097 Hagen, Germany
[2] Arizona State Univ, Dept Supply Chain Management, Main Campus,POB 874706, Tempe, AZ 85287 USA
关键词
ENERGY; OPTIMIZATION; CONSUMPTION; FAMILIES;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We discuss a bicriteria scheduling problem for parallel identical batch processing machines in semi-conductor wafer fabrication facilities (wafer fabs). Only jobs that belong to the same family can be batched together. The performance measures of interest are the total weighted completion time and the electricity power cost. Unequal release dates of the jobs are taken into account. The jobs can have non-identical sizes. We provide a Mixed Integer Linear Programming (MILP) formulation for the general setting. Moreover, we analyze the special case where all jobs have the same size, the maximum batch size is an integer multiple of this job size, and all jobs are available at time zero. We prove certain properties of Pareto-optimal schedules for this special case. These properties lead to a MILP formulation that is more tractable than the one for the general setting. We perform computational experiments with the epsilon-constraint method for both formulations.
引用
收藏
页码:3420 / 3431
页数:12
相关论文
共 50 条
  • [1] Cost-aware scheduling on uniform parallel machines
    Kononov, Alexander
    Lushchakova, Irina
    [J]. COMPUTERS & INDUSTRIAL ENGINEERING, 2022, 167
  • [2] Scheduling Jobs on Parallel Batch Processing Machines
    Liu, Lili
    Wang, Jibo
    Zhang, Feng
    [J]. 2009 ISECS INTERNATIONAL COLLOQUIUM ON COMPUTING, COMMUNICATION, CONTROL, AND MANAGEMENT, VOL I, 2009, : 78 - +
  • [3] Scheduling jobs with release dates on parallel batch processing machines
    Liu, L. L.
    Ng, C. T.
    Cheng, T. C. E.
    [J]. DISCRETE APPLIED MATHEMATICS, 2009, 157 (08) : 1825 - 1830
  • [4] Scheduling jobs with release dates on parallel batch processing machines to minimize the makespan
    Liu, L. L.
    Ng, C. T.
    Cheng, T. C. E.
    [J]. OPTIMIZATION LETTERS, 2014, 8 (01) : 307 - 318
  • [5] Scheduling jobs with release dates on parallel batch processing machines to minimize the makespan
    L. L. Liu
    C. T. Ng
    T. C. E. Cheng
    [J]. Optimization Letters, 2014, 8 : 307 - 318
  • [6] Batch scheduling of identical jobs on parallel identical machines
    Mor, Baruch
    Mosheiov, Gur
    [J]. INFORMATION PROCESSING LETTERS, 2012, 112 (20) : 762 - 766
  • [7] Learning Priority Indices for Energy-Aware Scheduling of Jobs on Batch Processing Machines
    Schorn, Daniel Sascha
    Moench, Lars
    [J]. IEEE TRANSACTIONS ON SEMICONDUCTOR MANUFACTURING, 2024, 37 (01) : 3 - 15
  • [8] Cost-aware Scheduling for Heterogeneous Enterprise Machines (CASH'EM)
    Burge, Jennifer
    Ranganathan, Parthasarathy
    Wiener, Janet L.
    [J]. 2007 IEEE INTERNATIONAL CONFERENCE ON CLUSTER COMPUTING, 2007, : 481 - +
  • [9] Multiobjective scheduling of jobs with incompatible families on parallel batch machines
    Reichelt, Dirk
    Moench, Lars
    [J]. EVOLUTIONARY COMPUTATION IN COMBINATORIAL OPTIMIZATION, PROCEEDINGS, 2006, 3906 : 209 - 221
  • [10] Online scheduling of equal length jobs on unbounded parallel batch processing machines with limited restart
    Hailing Liu
    Jinjiang Yuan
    Wenjie Li
    [J]. Journal of Combinatorial Optimization, 2016, 31 : 1609 - 1622