针对截止期限约束下有向无环图DAG(directed acyclic graph)表示的工作流费用优化问题,提出两个新的费用优化算法:时间约束的前向串归约算法FSRD(forward serial reduction within deadline)和时间约束的后向串归约算法BSRD(backward serial reduction within deadline).算法利用DAG图中串行活动特征给出串归约概念;基于分层算法对串归约组的时间窗口重定义,并提出动态规划的求解策略实现组内费用的最优化.两种归约算法综合考虑DAG图中活动的串并特征,改变分层算法中仅对单一活动的费用优化策略,实现了串归约组的时间收集和最优利用.模拟实验结果表明:BSRD和FSRD能够显著改进相应分层算法的平均性能,且BSRD优于FSRD.
No-wait flow shops with makespan minimization are classified as NP-hard. In this paper, the optimization objective is equivalently transformed to total idle-time minimization. The independence relationship between tasks is analyzed, and ob-jective increment properties are established for the fundamental operators of the heuristics. The quality of the new schedules generated during a heuristic is judged only by objective increments and not by the traditional method, which computes and compares the objective of a whole schedule. Based on objective increments, the time complexity of the heuristic can be decreased by one order. A seed phase is presented to generate an initial solution according to the transformed objective. Construction and improvement phases are introduced by experimental analysis. The FCH (fast composite heuristic) is proposed and compared with the most effective algorithms currently available for the considered problem. Experimental results show that the effectiveness of the FCH is similar to that of the best methods but requires far less computation time. The FCH can also be efficient in real time scheduling and rescheduling for no-wait flow shops.
LI XiaoPing1,2 & WU Cheng3 1 School of Computer Science & Engineering, Southeast University, Nanjing 210096, China
