Two Scheduling Models: p-Batch Scheduling and Rescheduling I

Jinjiang Yuan
Department of Mathematics, Zheng Zhou University, Henan 450052, P.R. China
yuanjj@zzu.edu.cn


Abstract     Full Text  PDF

In the p-batch scheduling, we have a single machine which can process several jobs simultaneously as a batch, and the processing time of the batch is equal to the longest processing time of the jobs assigned to it. The existing complexity results and open problems will be reviewed. Specially, the NP-hardness proof of the problem 1|p-batch, will be reported in detail, in which we use the NP-complete vertex cover problem of graphs for the reduction.