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Approximating Alternative Solutions
2008We study the approximability of alternative solutions for NP-problems. In particular, we show that approximating the second best solution is in many cases, such as MaxCut , MaxSat , Minimum Steiner Tree , and others, substantially easier than approximating a first solution.
Michael Krüger, Harald Hempel
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2009
Abstract The exact solutions of one-dimensional systems discussed in the previous chapter are particularly simple and mathematically elegant. Unfortunately, they are more an exception than a rule: for higher dimensional lattices, the computation of the partition functions of statistical models usually poses a formidable problem from a ...
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Abstract The exact solutions of one-dimensional systems discussed in the previous chapter are particularly simple and mathematically elegant. Unfortunately, they are more an exception than a rule: for higher dimensional lattices, the computation of the partition functions of statistical models usually poses a formidable problem from a ...
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An approximative solution to the Zookeeper's Problem
Information Processing Letters, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximations and solution estimates in optimization
Mathematical Programming, 2017The aim of this paper is to study approximations of lower semicontinuous (lsc) functions and of the solutions of optimization problems in metric spaces. The main tool is the Attouch-Wets distance of two lsc functions, which is defined in terms of their epigraphs.
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On Approximate Solution of Certain Equations
Journal of Mathematical Sciences, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerical Solution of the Lippmann–Schwinger Equation by Approximate Approximations
Journal of Fourier Analysis and Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LANZARA, Flavia, MAZ'YA V., SCHMIDT G.
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Approximation of Value Efficient Solutions
Journal of Multi‐Criteria Decision Analysis, 1997Summary: We introduce an approximation set to the value efficient set in multiobjective problems under partial information on the decision maker's preferences modelled by a vector value function. We show monotonicity and convergence properties based on increasingly precise vector value functions with two components, which improve the approximation and ...
Mateos, Alfonso, Ríos-Insua, Sixto
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Approximate solutions of severity of ruins
Blätter der DGVFM, 1996Summary: Let \(G(u,y)\) be the severity of ruin, i.e. the probability that, starting with the initial surplus \(u\), ruin occurs and the deficit at the time of ruin is less than \(y\). The authors determine approximate solutions for the severity of ruin using a numerical algorithm based on cubic spline approximation.
Di Lorenzo, Emilia, Tessitore, Gerarda
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Approximate Solution of Queueing Models
Computer, 1980A variety of phenomena and interactions defy exact analytic modeling. Approximation can provide a reasonably accurate solution of a realistic model and is computationally inexpensive.
Charles H. Sauer, K. Mani Chandy
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Periodic Solutions by Picard's Approximations
Canadian Mathematical Bulletin, 1968In [1] Demidovic considered a system of linear differential equationswith A(t) continuous, T-periodic, odd, and skew symmetric. He proved that all solutions of (1) are either T-periodic or 2T-periodic0 In [2] Epstein used Floquet theory to prove that all solutions of (1) are T-periodic without the skew symmetric hypothesis.
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