探讨退化工件两台机器自由作业环境下的最小化加权误工工件的排序问题,其中所有工件具有相同的公共交货期。首先证明了最小化误工工件数问题是 NP 困难的;然后对最小化加权误工工件数问题给出了一个拟多项式时间算法;最后对几种特殊情形给出了多项式时间算法。
This paper studies the problem of scheduling proportionally deteriorating jobs in two-machine open shop to minimize the number of tardy jobs, in which all jobs have the common due date. We first show that the unweighted problem is NP-hard, then we present a pseudo-polynomial-time algorithm for the weighed problem, and finally we develop polynomial algorithms to solve several special cases.