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MOR
2000
90views more  MOR 2000»
13 years 4 months ago
A PTAS for Minimizing the Total Weighted Completion Time on Identical Parallel Machines
We consider the problem of scheduling a set of n jobs on m identical parallel machines so as to minimize the weighted sum of job completion times. This problem is NP-hard in the s...
Martin Skutella, Gerhard J. Woeginger
ESA
1999
Springer
148views Algorithms» more  ESA 1999»
13 years 9 months ago
Approximation Schemes for Scheduling on Uniformly Related and Identical Parallel Machines
We give a polynomial approximation scheme for the problem of scheduling on uniformly related parallel machines for a large class of objective functions that depend only on the mac...
Leah Epstein, Jiri Sgall
JCO
2007
100views more  JCO 2007»
13 years 5 months ago
Semi-online scheduling with "end of sequence" information
We study a variant of classical scheduling, which is called scheduling with “end of sequence” information. It is known in advance that the last job has the longest processing ...
Leah Epstein, Deshi Ye
DAM
2007
100views more  DAM 2007»
13 years 5 months ago
Partially ordered knapsack and applications to scheduling
In the partially-ordered knapsack problem (POK) we are given a set N of items and a partial order ≺P on N. Each item has a size and an associated weight. The objective is to pac...
Stavros G. Kolliopoulos, George Steiner