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12
Applying parallel computation algorithms in the design of serial algorithms
 J. ACM
, 1983
"... Abstract. The goal of this paper is to point out that analyses of parallelism in computational problems have practical implications even when multiprocessor machines are not available. This is true because, in many cases, a good parallel algorithm for one problem may turn out to be useful for design ..."
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Cited by 234 (7 self)
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Abstract. The goal of this paper is to point out that analyses of parallelism in computational problems have practical implications even when multiprocessor machines are not available. This is true because, in many cases, a good parallel algorithm for one problem may turn out to be useful for designing an efficient serial algorithm for another problem. A d ~ eframework d for cases like this is presented. Particular cases, which are discussed in this paper, provide motivation for examining parallelism in sorting, selection, minimumspanningtree, shortest route, maxflow, and matrix multiplication problems, as well as in scheduling and locational problems.
Misclassification Minimization
 JOURNAL OF GLOBAL OPTIMIZATION
, 1994
"... The problem of minimizing the number of misclassified points by a plane, attempting to separate two point sets with intersecting convex hulls in ndimensional real space, is formulated as a linear program with equilibrium constraints (LPEC). This general LPEC can be converted to an exact penalty pro ..."
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Cited by 40 (13 self)
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The problem of minimizing the number of misclassified points by a plane, attempting to separate two point sets with intersecting convex hulls in ndimensional real space, is formulated as a linear program with equilibrium constraints (LPEC). This general LPEC can be converted to an exact penalty problem with a quadratic objective and linear constraints. A FrankWolfetype algorithm is proposed for the penalty problem that terminates at a stationary point or a global solution. Novel aspects of the approach include: (i) A linear complementarity formulation of the step function that "counts" misclassifications, (ii) Exact penalty formulation without boundedness, nondegeneracy or constraint qualification assumptions, (iii) An exact solution extraction from the sequence of minimizers of the penalty function for a finite value of the penalty parameter for the general LPEC and an explicitly exact solution for the LPEC with uncoupled constraints, and (iv) A parametric quadratic programming form...
Bilinear Separation of Two Sets in nSpace
 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
, 1993
"... The NPcomplete problem of determining whether two disjoint point sets in the ndimensional real space R n can be separated by two planes is cast as a bilinear program, that is minimizing the scalar product of two linear functions on a polyhedral set. The bilinear program, which has a vertex solut ..."
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Cited by 35 (17 self)
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The NPcomplete problem of determining whether two disjoint point sets in the ndimensional real space R n can be separated by two planes is cast as a bilinear program, that is minimizing the scalar product of two linear functions on a polyhedral set. The bilinear program, which has a vertex solution, is processed by an iterative linear programming algorithm that terminates in a finite number of steps at a point satisfying a necessary optimality condition or at a global minimum. Encouraging computational experience on a number of test problems is reported.
Constraint programming contribution to benders decomposition: a case study
 In CP02
, 2002
"... Abstract. The aim of this paper is to demonstrate that CP could be a better candidate than MIP for solving the master problem within a Benders decomposition approach. Our demonstration is based on a case study of a workforce scheduling problem encountered in a large call center of Bouygues Telecom, ..."
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Cited by 19 (3 self)
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Abstract. The aim of this paper is to demonstrate that CP could be a better candidate than MIP for solving the master problem within a Benders decomposition approach. Our demonstration is based on a case study of a workforce scheduling problem encountered in a large call center of Bouygues Telecom, a French mobile phone operator. Our experiments show that CP can advantageously replace MIP for the implementation of the master problem due to its greater ability to efficiently manage a wide variety of constraints such as the ones occurring in time tabling applications. 1.
What Do We Learn from Experimental Algorithmics?
 In Mathematical Foundations of Computer Science
, 2000
"... Experimental Algorithmics is concerned with the design, implementation, tuning, debugging and performance analysis of computer programs for solving algorithmic problems. It provides methodologies and tools for designing, developing and experimentally analyzing efficient algorithmic codes and aim ..."
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Cited by 6 (0 self)
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Experimental Algorithmics is concerned with the design, implementation, tuning, debugging and performance analysis of computer programs for solving algorithmic problems. It provides methodologies and tools for designing, developing and experimentally analyzing efficient algorithmic codes and aims at integrating and reinforcing traditional theoretical approaches for the design and analysis of algorithms and data structures. In this paper we survey some relevant contributions to the field of Experimental Algorithmics and we discuss significant examples where the experimental approach helped in developing new ideas, in assessing heuristics and techniques, and in gaining a deeper insight about existing algorithms. 1
A Probabilistic Minimum Spanning Tree Algorithm
 Information Processing Letters
, 1978
"... This paper is concerned with the problem of computing spanning tree (MST) for n points in a pdimensional space where the "distance" between each pair of points i and j satisfies the relationship' dq max {Ixti  xtql} , where xki is the coordinate of object i along the ktti dimension. This relatio ..."
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Cited by 5 (0 self)
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This paper is concerned with the problem of computing spanning tree (MST) for n points in a pdimensional space where the "distance" between each pair of points i and j satisfies the relationship' dq max {Ixti  xtql} , where xki is the coordinate of object i along the ktti dimension. This relationship is clearly satisfied by all Minkowski metrics dq = [ Ixki  xnjl r] x/r, r > 1
Distributed decision through selfsynchronizing sensor networks in the presence of propagation delays and asymmetric channels
 IEEE Transactions on Signal Processing
, 2008
"... In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a selfsynchronization mechanism among linearly coupled integrators initialized with local measurements. We model the interaction among the nodes as a direct ..."
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Cited by 4 (1 self)
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In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a selfsynchronization mechanism among linearly coupled integrators initialized with local measurements. We model the interaction among the nodes as a directed graph with weights (possibly) dependent on the radio channels and we pose special attention to the effect of the propagation delay occurring in the exchange of data among sensors, as a function of the network geometry. We derive necessary and sufficient conditions for the proposed system to reach a consensus on globally optimal decision statistics. One of the major results proved in this work is that a consensus is reached with exponential convergence speed for any bounded delay condition if and only if the directed graph is quasistrongly connected. We provide a closed form expression for the global consensus, showing that the effect of delays is, in general, the introduction of a bias in the final decision. Finally, we exploit our closed form expression to devise a doublestep consensus mechanism able to provide an unbiased estimate with minimum extra complexity, without the need to know or estimate the channel parameters. 1
A Discrete Harmonic Potential Approach to Motion Planning on A Weighted Graph
"... AbstractA provablycorrect discrete version of the harmonic potential field (HPF) approach to motion planning was suggested in [20]. The approach utilizes the strong relation between graph theory and electrical network theory for developing a framework of theories and definitions that, among other ..."
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AbstractA provablycorrect discrete version of the harmonic potential field (HPF) approach to motion planning was suggested in [20]. The approach utilizes the strong relation between graph theory and electrical network theory for developing a framework of theories and definitions that, among other things, can strongly aid in developing a discrete HPF planning approach. This framework was used to suggest an efficient, optimal, novel, discrete planning method called the M * algorithm. In this paper an inplace, successive relaxation procedure is suggested for implementing the M * algorithm. Also, the utility of the discrete HPF approach is demonstrated in robust, data network routing. I.