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### An algorithm for solving the jump number problem

Maciej M. Sysło
1988 Discrete Mathematics
In this paper, we present an algorithm for solving the jump number problem on arbitrary posets which extends the author's approach applied to N-free posets and makes use of two new types of greedy chains  ...  Conclusions We have presented the algorithm for solving the jump number problem which is linear in the poset size and factorial in k, the number of dummy arcs in arc representations of posets.  ...

### Integer Programming Based Algorithms for Peg Solitaire Problems [chapter]

Masashi Kiyomi, Tomomi Matsui
2001 Lecture Notes in Computer Science
The algorithms first solve relaxed problems and get an upper bound of the number of jumps for $\mathrm{e}\mathrm{a}\mathrm{c}1_{1}$ jump position.  ...  We proposed algorithms based on the backtrack search method and relaxation methods for integer programming problem.  ...  The second algorithm uses the properties of a peg solitaire problem that the number of jumps required to solve the problem is known and solving the problem in forward direction is essentially equivalent  ...

### Developing New Algorithm And Its Application On Optimal Control Of Pumps In Water Distribution Network

R. Rajabpour, N. Talebbeydokhti, M. H. Ahmadi
2015 Zenodo
In recent years, new techniques for solving complex problems in engineering are proposed. One of these techniques is JPSO algorithm.  ...  Maximum number of status on and off for each pumps imposed to the objective function as another constraint.  ...  JUMPING PSO (JPSO) In this method, the situation of a particle X x , x , … , x (s is the number of decision variables) is studied as an acceptable response for combined optimal problem.  ...

### The Level Ancestor Problem simplified

M BENDER
2004 Theoretical Computer Science
We present a simple algorithm for the Level Ancestor Problem. A Level Ancestor Query LA(v; d) requests the depth d ancestor of node v.  ...  The Level Ancestor Problem is to preprocess a given rooted tree T to support level ancestor queries.  ...  This ÿnishes the problem of ÿnding a level ancestor within a microtree. The micro node may want an ancestor outside of its microtree.  ...

### Developing New Algorithm (G-JPSO) for Optimal Control of Pumps in Water Distribution Networks

R. Rajabpour, N. Talebbeydokhti, Gh.R. Rakhshandehroo
2018 Scientia Iranica. International Journal of Science and Technology
However, in order to achieve more robust performance, the probability to solve the graph-based problems is modified by changing the jumping nature of this algorithm and a new algorithm called G-JPSO is  ...  Meta-heuristic methods have been widely used for solving complex problems recently. Among these methods, JPSO is regarded as a promising algorithm.  ...  as an acceptable response for the combined optimal problem.  ...

### Optimal solutions for the continuous p-centre problem and related -neighbour and conditional problems: A relaxation-based algorithm

Becky Callaghan, Said Salhi, Jack Brimberg
2018 Journal of the Operational Research Society
The version in the Kent Academic Repository may differ from the final published version. Users are advised to check http://kar.kent.ac.uk for the status of the paper.  ...  Users should always cite the published version of record.  ...  Acknowledgments The first author would like to thank EPSRC for her PhD studentship.  ...

### The Level Ancestor Problem simplified

Michael A. Bender, Martı́n Farach-Colton
2004 Theoretical Computer Science
We present a simple algorithm for the Level Ancestor Problem. A Level Ancestor Query LA(v; d) requests the depth d ancestor of node v.  ...  The Level Ancestor Problem is to preprocess a given rooted tree T to support level ancestor queries.  ...  This ÿnishes the problem of ÿnding a level ancestor within a microtree. The micro node may want an ancestor outside of its microtree.  ...

### Numerical Algorithms for Deterministic Impulse Control Models with Applications

Dieter Grass, Mohammed Chahim
2012 Social Science Research Network
The first (new) algorithm considers an Impulse Control problem as a (multipoint) Boundary Value Problem and uses a continuation technique to solve it.  ...  As an application we solve a forest management problem and a dike heightening problem.  ...  for a fixed number of jumps (see e.g.  ...

### Energy-Level Jumping Algorithm for Global Optimization in Compressive Sensing-Based Target Localization

Tianjing Wang, Xinjie Guan, Xili Wan, Guoqing Liu, Hang Shen
2019 Sensors
Solving global optimization for the sparse recovery problem remains a challenge in CS-based target localization.  ...  By repeating the process of energy-level jumping, our proposed algorithm establishes a global convergence path from an initial point to the global minimizer.  ...  Author Contributions: T.W. and G.L. contributed on the whole idea of the method, proposed the algorithm. X.G. and X.W. performed the experiments, H.S. analyzed the data.  ...

### Opposition-based Differential Evolution with protective generation jumping

2011 2011 IEEE Symposium on Differential Evolution (SDE)
The Opposition-based Differential Evolution (ODE) algorithm has shown to be superior to its parent, Differential Evolution (DE) algorithm in solving many real-world problems and benchmark functions efficiently  ...  Generation Jumping (ODEPGJ), in which it makes the ODE algorithm more adaptive in term of generation jumping.  ...  DE is an efficient algorithm in solving global optimization problems, but it has problems with, as well, it is prone to curse of dimensionality.  ...

### Parallel Algorithms for Two Processors Precedence Constraint Scheduling [chapter]

Maria Serna
2008 Encyclopedia of Algorithms
The work of Jung, Serna, and Spirakis provides a parallel algorithm (on a PRAM machine) that solves the above problem for the particular case that m = 2, that is where there are two parallel processors  ...  Clearly topological sort will accomplish the above partition, and this can be done by an NC algorithm that uses O(n 3 ) processors and O(log n) time, see [3] .  ...  Auxiliary problems The algorithm for the two processors precedence constraint scheduling problem uses as a building block an algorithm for solving a matching problem in a particular graph class.  ...

### Optimization of reactor network design problem using Jumping Gene Adaptation of Differential Evolution

Ashish M Gujarathi, S Purohit, B Srikanth
2015 Journal of Physics, Conference Series
The standard deviation and the variance values obtained using DE-JGa, DE and MDE algorithms also show that the DE-JGa algorithm gives consistent set of results for the majority of the test problems and  ...  Extensive computational comparisons have been made for all the chemical engineering problems considered.  ...  Differential evolution in brief Differential evolution (DE), an evolutionary algorithm is an extension of genetic algorithm (GA) for solving single objective optimization problems.  ...

### A NEW TWO-STAGE METHOD FOR NONPARAMETRIC REGRESSION WITH JUMP POINTS [chapter]

C. Z. Wu, C. M. Liu, K. L. Teo, Q. X. Shao
2008 World Scientific Series on Nonlinear Science Series A
This approximation problem is formulated as an optimization problem which can be solved by many existing techniques. The method is applied to several examples.  ...  In this chapter, a two-staged method is presented for nonparametric regression with jump points.  ...  [11] proposed an algorithm to estimate regression functions when discontinuities are present. [20] used one-sided moving average to find the locations of jumps, [9] used Fourier analysis for jump  ...

### Page 1059 of Mathematical Reviews Vol. , Issue 91B [page]

1991 Mathematical Reviews
This solves the jump number problem for biconvex graphs by means of computational geometry.  ...  It is known that, for posets P,; and P with the same comparability graph, the jump numbers of P,; and P, also coincide and that for chordal bipartite graphs the jump number decision problem is NP-complete  ...

### Opposition based red wolf algorithm for solving optimal reactive power problem

Lenin Kanagasabai
2021 International Journal of Advances in Applied Sciences
<p>This paper presents an opposition based red wolf optimization (ORWO) algorithm for solving optimal reactive power problem.  ...  Each red wolf has a flag vector in the algorithm, and length is equivalent to the whole sum of numbers which features in the dataset of the wolf optimization (WO).  ...  This paper proposes an opposition based red wolf optimization (ORWO) algorithm for solving optimal reactive power problem.  ...
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