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In this paper we show that the generalized problem also admits a polynomial time approximation scheme.
An analytical model was developed for the generalized problem that includes the effect of the non-linearity and non-homogeneity of the internal heat generation.
This paper considers the generalized problem of selecting the top m designs from a finite set of design alternatives based on simulated outputs, subject to a constraint on the total number of samples available.
The program searches for periodic solutions of the generalized problem of non-linear, non-autonomous, second order differential equations, and draws x-t and phase trajectory diagrams for the periodic solutions obtained.
The choice of the initial iteration value which will be obtained by the quasimonotone property of (f 1, f 2) would be crucial to ensure that the above sequence converges to a solution of the generalized problem.
Since this problem is strongly NP-hard, we design a fully polynomial-time approximation scheme (FPTAS) for a special case with a pipeline-structured workflow on a homogeneous cluster and a heuristic for the generalized problem with an arbitrary workflow on a heterogeneous cluster.
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In addition, we study the generalized problems of finding a length-constrained maximum-sum or maximum-density subtree in a given tree or graph, providing algorithmic and complexity results.
We formulate versions of the knapsack problem, the generalized assignment problem and the bin-packing problem with sigmoid utilities.
To find the solution to the more complicated generalized problem above, the generalized weighted water-filling algorithm (GWWFA) is presented as follows.
MSGEP is a generalization of the generalized equilibrium problem, the split equilibrium problem and the split variational inequality problem.
Moreover, the generalized equilibrium problem addresses monotone inclusion problems, variational inequality problems, minimization problems and vector equilibrium problem [2 4].
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