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Wyświetlanie 1-6 z 6
Tytuł:
The branch and bound algorithm for a backup virtual path assignment in survivable atm networks
Autorzy:
Walkowiak, K.
Powiązania:
https://bibliotekanauki.pl/articles/907991.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
survivable networks
ATM
branch and bound algorithm
Opis:
Issues of network survivability are important, since users of computer networks should be provided with some guarantees of data delivery. A large amount of data may be lost in high-speed Asynchronous Transfer Mode (ATM) due to a network failure and cause significant economic loses. This paper addresses problems of network survivability. The characteristics of virtual paths and their influence on network restoration are examined. A new problem of Backup Virtual Path Routing is presented for the local-destination rerouting strategy. The function of the flow lost due to a failure of a single link is chosen as the performance index. The problem of finding the optimal virtual path assignment is NP-complete. Therefore we develop an exact algorithm based on the branch and bound approach. Moreover, two heuristic algorithms are proposed. Numerical results are presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 257-267
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Control flow graphs and code coverage
Autorzy:
Gold, R.
Powiązania:
https://bibliotekanauki.pl/articles/908136.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
graf skierowany
graf przepływowy
testowanie oprogramowania
directed graph
control flow graph
graph reduction
software testing
statement coverage
branch coverage
Opis:
The control flow of programs can be represented by directed graphs. In this paper we provide a uniform and detailed formal basis for control flow graphs combining known definitions and results with new aspects. Two graph reductions are defined using only syntactical information about the graphs, but no semantical information about the represented programs. We prove some properties of reduced graphs and also about the paths in reduced graphs. Based on graphs, we define statement coverage and branch coverage such that coverage notions correspond to node coverage, and edge coverage, respectively.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 4; 739-749
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact approaches to late work scheduling on unrelated machines
Autorzy:
Liu, Xinbo
Wang, Wen
Chen, Xin
Sterna, Malgorzata
Blazewicz, Jacek
Powiązania:
https://bibliotekanauki.pl/articles/11542692.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
late work scheduling
unrelated machine
mathematical model
branch algorithm
bound algorithm
dynamic programming
planowanie pracy
model matematyczny
algorytm podziału
algorytm ograniczeń
programowanie dynamiczne
Opis:
We consider the scheduling problem on unrelated parallel machines in order to minimize the total late work. Since the problem is NP-hard, we propose a mathematical model and two dedicated exact approaches for solving it, based on the branching and bounding strategy and on enumerating combined with a dynamic programming algorithm. The time efficiencies of all three approaches are evaluated through computational experiments.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2023, 33, 2; 285--295
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Accelerating backtrack search with a best-first-search strategy
Autorzy:
Mann, Z. Á.
Szép, T.
Powiązania:
https://bibliotekanauki.pl/articles/329816.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
best first search
backtrack
branch and bound
constraint satisfaction problem (CSP)
frequent restarting
algorytm wyszukiwania
system backtrack
metoda podziału i ograniczeń
programowanie z ograniczeniami
Opis:
Backtrack-style exhaustive search algorithms for NP-hard problems tend to have large variance in their runtime. This is because “fortunate” branching decisions can lead to finding a solution quickly, whereas “unfortunate” decisions in another run can lead the algorithm to a region of the search space with no solutions. In the literature, frequent restarting has been suggested as a means to overcome this problem. In this paper, we propose a more sophisticated approach: a best-first-search heuristic to quickly move between parts of the search space, always concentrating on the most promising region. We describe how this idea can be efficiently incorporated into a backtrack search algorithm, without sacrificing optimality. Moreover, we demonstrate empirically that, for hard solvable problem instances, the new approach provides significantly higher speed-up than frequent restarting.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 901-916
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Derivation of physically motivated constraints for efficient interval simulations applied to the analysis of uncertain dynamical systems
Autorzy:
Freihold, M.
Hofer, E. P.
Powiązania:
https://bibliotekanauki.pl/articles/930126.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system Hamiltona
algorytm rozgałęzienia
system dynamiczny
VALENCIA-IVP
consistency tests for the reduction of overestimation
identification of dynamical constraints
Hamiltonian systems
branch algorithm
prune algorithm
Opis:
Interval arithmetic techniques such as VALENCIA-IVP allow calculating guaranteed enclosures of all reachable states of continuous-time dynamical systems with bounded uncertainties of both initial conditions and system parameters. Considering the fact that, in naive implementations of interval algorithms, overestimation might lead to unnecessarily conservative results, suitable consistency tests are essential to obtain the tightest possible enclosures. In this contribution, a general framework for the use of constraints based on physically motivated conservation properties is presented. The use of these constraints in verified simulations of dynamical systems provides a computationally efficient procedure which restricts the state enclosures to regions that are physically eaningful. A branch and prune algorithm is modified to a consistency test, which is based on these constraints. Two application scenarios are studied in detail. First, the total energy is employed as a conservation property for the analysis of mechanical systems. It is shown that conservation properties, such as the energy, are applicable to any Hamiltonian system. The second scenario is based on constraints that are derived from decoupling properties, which are considered for a high-dimensional compartment model of granulopoiesis in human blood cell dynamics.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 3; 485-499
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Configuring a sensor network for fault detection in distributed parameter systems
Autorzy:
Patan, M.
Uciński, D.
Powiązania:
https://bibliotekanauki.pl/articles/929887.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
metoda podziału i ograniczeń
ograniczony plan eksperymentu
układ o parametrach rozłożonych
detekcja uszkodzeń
estymacja parametryczna
rozmieszczanie czujników
branch-and-bound
constrained experimental design
distributed parameter system
fault detection
parameter estimation
sensor location
Opis:
The problem of fault detection in distributed parameter systems (DPSs) is formulated as that of maximizing the power of a parametric hypothesis test which checks whether or not system parameters have nominal values. A computational scheme is provided for the design of a network of observation locations in a spatial domain that are supposed to be used while detecting changes in the underlying parameters of a distributed parameter system. The setting considered relates to a situation where from among a finite set of potential sensor locations only a subset can be selected because of the cost constraints. As a suitable performance measure, the Ds-optimality criterion defined on the Fisher information matrix for the estimated parameters is applied. Then, the solution of a resulting combinatorial problem is determined based on the branch-and-bound method. As its essential part, a relaxed problem is discussed in which the sensor locations are given a priori and the aim is to determine the associated weights, which quantify the contributions of individual gauged sites. The concavity and differentiability properties of the criterion are established and a gradient projection algorithm is proposed to perform the search for the optimal solution. The delineated approach is illustrated by a numerical example on a sensor network design for a two-dimensional convective diffusion process.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2008, 18, 4; 513-524
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-6 z 6

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