Contributed Session Mon.3.H 3012

Monday, 15:15 - 16:45 h, Room: H 3012

Cluster 2: Combinatorial optimization [...]

Scheduling II

 

Chair: Alexander Tesch

 

 

Monday, 15:15 - 15:40 h, Room: H 3012, Talk 1

Matthew Oster
A branch and cut algorithm for solving capacitated max k-cut with an application in scheduling

Coauthor: Jonathan Eckstein

 

Abstract:
We model the scheduling of a symmetric multi-track conference as a capacitated version of the combinatorial optimization problem known as Maximum k-Cut (MKC). We solve this NP-hard problem to optimality within a branch-and-bound framework equipped with a semidefinite programming relaxation of MKC, enhanced with triangle and clique cuts, as well as new problem-specific cuts (e.g., what we call star-capacity cuts, total-capacity cuts, etc.). We also introduce a new heuristic for generating feasible solutions at most tree nodes. Test results for small to moderate-sized conferences will be discussed for both serial and parallel implementations of our algorithm.

 

 

Monday, 15:45 - 16:10 h, Room: H 3012, Talk 2

Alexander Tesch
Optimization of the ISMP 2012 schedule

 

Abstract:
Your favourite sessions overlap at the same time, the lecture halls are overcrowded or your talk just wasn't added to a suitable date-slot?
Assignment-problems like that may occur in conference planning like this year's ISMP. To avoid such incidents hopefully we developed a MIP with multi-criteria objective to handle several conflicts like an even offering of different clusters, room-capacity-requirements and prevention of time-dependant-crossovers of popular talks. Therefore we integrated a priority model for the talks to evaluate high visitor rates. We also used an approach to relax the original assignment problem and introduce a heuristic to solve the master problem from the obtained relaxed solution.

 

  There are three major facts that should be watched out for in all payday loans in the United States. But at the same time, it acts only with sexual arousal. Buy Viagra Online has a number of advantages in comparison with injections in the sexual organ or other procedures aimed at treatment of impotency.