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A Branch-and-Bound Algorithm

2002
This chapter describes a time-oriented, constraint propagation based approach to resource-constrained project scheduling with generalised precedence constraints. We present a branch-and-bound algorithm for the general problem PS |temp| C max that enumerates possible activity start times based on the idea that, at a given node of the search tree, an ...
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An asynchronous parallel branch‐and‐bound algorithm

Systems and Computers in Japan, 1992
AbstractThis paper presents a parallel branch‐and‐bound algorithm which is applicable to a loosely coupled multiprocessor with nonhierarchical interconnection network such as torus or hypercube. This algorithm is asynchronous and processing elements (PEs) start evaluation of nodes without being synchronized.
Tsuyoshi Kawaguchi   +2 more
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A Branch and Bound Algorithm

1994
Whereas exact methods for solving the single-mode resource-constrained project scheduling problem are well documented in the literature (cf. e.g. [7], [18], [25], [27], [32], [33], [33], [95], [101], [112], [113]), the multi-mode extension has attracted less attention (cf. [88], [89], [109], [114], [115], [116]).
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Computational Efficiency of Approximate Branch-and-Bound Algorithms

Mathematics of Operations Research, 1976
To improve the computational efficiency of a branch-and-bound algorithm at the sacrifice of obtaining an optimal solution, the lower bound test is sometimes strengthened beyond its limit, i.e., a partial problem Pi is terminated if g(Pi) ≥ z − ϵ(z) (instead of g(Pi) ≥ z), where g(Pi) is a lower bound of Pi, z is the current incumbent value and ϵ(z ...
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A Branch-and-Bound Algorithm

2000
In this chapter, we describe a branch-and-bound algorithm for the DSP in which to embed the constraint propagation techniques that we have derived in the last chapter. A general introduction to branch-and-bound has been given in section 2.3. As mentioned there, one of the most important components of a branch-and-bound solution method is a branching ...
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Fault-Tolerant Mechanism for Hierarchical Branch and Bound Algorithm

2011 IEEE International Symposium on Parallel and Distributed Processing Workshops and Phd Forum, 2011
Solving exactly large instances of Combinatorial Optimization Problems emph{(COPs)} using Branch and Bound emph{(B&B) }algorithms requires a huge amount of computing resources. These resources can be offered by computational grids and the scalability can be achieved using Hierarchical Master/Worker-based B&B pushing the limits of the traditional Master/
Bendjoudi, Ahcène   +2 more
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The geometric branch-and-bound algorithm

2011
The aim of this chapter is the presentation of the fundamental geometric branch-and-bound algorithm including a general convergence theory. To this end, we start with a literature review of these approaches and their applications to facility location problems in Section 2.1.
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A Branch and Bound Algorithm for Numerical MAX-CSP

Constraints, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Normand, Jean-Marie   +3 more
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Tolerance-based Branch and Bound algorithms for the ATSP

European Journal of Operational Research, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Turkensteen, M.   +3 more
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Parallel Algorithm Design for Branch and Bound

2006
Large and/or computationally expensive optimization problems sometimes require parallel or high-performance computing systems to achieve reasonable running times. This chapter gives an introduction to parallel computing for those familiar with serial optimization.
David A. Bader   +2 more
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