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【期刊论文】Note Minimizing makespan with release times on identical parallel batching machines
李国君, Shuguang Lia, *, Guojun Lib, c, , Shaoqiang Zhangd
Discrete Applied Mathematics 148(2005)127-134,-0001,():
-1年11月30日
We consider the problem of scheduling n jobs on m identical parallel batching machines. Each job is characterized by a release time and a processing time. Each machine can process up to B (B<n) jobs as a batch simultaneously. The processing time of a batch is equal to the largest processing time among all jobs in the batch. The objective is to minimize the maximum completion time (makespan). We present a polynomial time approximation scheme (PTAS) for this problem.
Polynomial time approximation scheme, Identical parallel batching machines, Scheduling, Makespan
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【期刊论文】Hamiltonian cycles in 3-connected Claw-free graphs
李国君, Guojun Lia, *, , M. Lub, Z. Liuc
Discrete Mathematics 250(2002)137-151,-0001,():
-1年11月30日
It is shown that every 3-connected claw-free graph having at most 6δ-7 vertices is hamiltonian, where is the minimum degree.
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