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有根森林优先约束的单机随机排序问题
Stochastic Single Machine Scheduling with Rooted Forest Precedence Constraints
【摘要】 讨论单机随机排序问题,目标函数为确定工件的排列顺序使工件的加权完工时间和的数学期望最小.设工件间的优先约束为有根森林,机器发生随机故障.对此情况,给出了多项式时间的最优算法.
【Abstract】 The stochastic single machine scheduling problem was considered in order to determine job schedule that minimizes the mean weighted sum of completion times.It is assumed that job is subject to rooted forest precedence constraints and the machine is subject to a sequence of stochastic breakdowns.For the case,the polynomial-time optimal algorithm is presented.
【关键词】 排序;
单机;
随机故障;
有根森林;
优先约束;
最优算法;
【Key words】 scheduling; single machine; stochastic breakdowns; rooted forest; precedence constraints; optimal algorithm;
【Key words】 scheduling; single machine; stochastic breakdowns; rooted forest; precedence constraints; optimal algorithm;
【基金】 辽宁省教育厅科技研究项目资助(20060662)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2008年24期
- 【分类号】O223
- 【被引频次】1
- 【下载频次】57