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JCO
1998
97views more  JCO 1998»
14 years 9 months ago
The Travelling Salesman Problem on Permuted Monge Matrices
We consider traveling salesman problems (TSPs) with a permuted Monge matrix as cost matrix where the associated patching graph has a specially simple structure: a multistar, a mult...
Rainer E. Burkard, Vladimir G. Deineko, Gerhard J....
JCO
1998
69views more  JCO 1998»
14 years 9 months ago
Sortabilities of Partition Properties
Consider the partition of a set of integers into parts. Various partition properties have been proposed in the literature to facilitate the restriction of the focus of attention to...
Gerard J. Chang, Fu-Loong Chen, Lingling Huang, Fr...
JCO
1998
80views more  JCO 1998»
14 years 9 months ago
Improved Bounds on Relaxations of a Parallel Machine Scheduling Problem
We consider the problem of scheduling n jobs with release dates on m identical parallel machines to minimize the average completion time of the jobs. We prove that the ratio of the...
Cynthia A. Phillips, Andreas S. Schulz, David B. S...
JCO
2010
169views more  JCO 2010»
14 years 8 months ago
An almost four-approximation algorithm for maximum weight triangulation
We consider the following planar maximum weight triangulation (MAT) problem: given a set of n points in the plane, find a triangulation such that the total length of edges in tria...
Shiyan Hu
JCO
2010
70views more  JCO 2010»
14 years 8 months ago
Worst-case analysis for on-line service policies
This paper considers an on-line scheduling problem occurred in a service system with two classes (normal and special) of customers and two types (dedicated and flexible) of serve...
Zhenbo Wang, Wenxun Xing