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Scheduling jobs in open shops with limited machine availability

Jacek BłażewiczPiotr Formanowicz — 2002

RAIRO - Operations Research - Recherche Opérationnelle

In this paper, open shop scheduling problems with limited machine availability are studied. Such a limited availability of machines may appear in many real-life situations, e.g. as preventive maintenance activities. Three types of jobs are distinguished: non-preemptable, resumable and preemptable. An operation of a resumable job if not completed before a non-availability period of a machine may be suspended and continued without additional cost when the machine becomes available. In the paper, results...

The Fan-Raspaud conjecture: A randomized algorithmic approach and application to the pair assignment problem in cubic networks

Piotr FormanowiczKrzysztof Tanaś — 2012

International Journal of Applied Mathematics and Computer Science

It was conjectured by Fan and Raspaud (1994) that every bridgeless cubic graph contains three perfect matchings such that every edge belongs to at most two of them. We show a randomized algorithmic way of finding Fan-Raspaud colorings of a given cubic graph and, analyzing the computer results, we try to find and describe the Fan-Raspaud colorings for some selected classes of cubic graphs. The presented algorithms can then be applied to the pair assignment problem in cubic computer networks. Another...

Scheduling jobs in open shops with limited machine availability

Jacek BłażewiczPiotr Formanowicz — 2010

RAIRO - Operations Research

In this paper, open shop scheduling problems with limited machine availability are studied. Such a limited availability of machines may appear in many real-life situations, as preventive maintenance activities. Three types of jobs are distinguished: non-preemptable, resumable and preemptable. An operation of a resumable job if not completed before a non-availability period of a machine may be suspended and continued without additional cost when the machine becomes available. In the paper, results...

Some remarks on evaluating the quality of the multiple sequence alignment based on the BALiBASE benchmark

Jacek BłażewiczPiotr FormanowiczPaweł Wojciechowski — 2009

International Journal of Applied Mathematics and Computer Science

BAliBASE is one of the most widely used benchmarks for multiple sequence alignment programs. The accuracy of alignment methods is measured by bali score-an application provided together with the database. The standard accuracy measures are the Sum of Pairs (SP) and the Total Column (TC). We have found that, for non-core block columns, results calculated by bali score are different from those obtained on the basis of the formal definitions of the measures. We do not claim that one of these measures...

Genetic and Tabu search algorithms for peptide assembly problem

Jacek BłażewiczMarcin BorowskiPiotr FormanowiczTomasz Głowacki — 2010

RAIRO - Operations Research

Determining amino acid sequences of protein molecules is one of the most important issues in molecular biology. These sequences determine protein structure and functionality. Unfortunately, direct biochemical methods for reading amino acid sequences can be used for reading short sequences only. This is the reason, which makes peptide assembly algorithms an important complement of these methods. In this paper, a genetic algorithm solving the problem of short amino acid sequence assembly is presented....

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