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The single model predictive controller used in centralized control strategy optimizes globally and finds an optimal ordering policy for each echelon.
This paper addresses the problem of finding an optimal ordering, proves its hardness, and gives several heuristics for finding an optimal ordering in the distributed environment.
A method for compressing a database relation by leveraging an optimal ordering of tuples and composition of compression operators.
It is proved that under certain condition there always exists an optimal ordering that respects modules.
Consequently, when considering both time-order dependence and transition costs, an optimal ordering is not easy to find.
It is shown that the sequential Hopfield algorithm's performance on the CSP depends on the neurons' updating ordering, and also an optimal ordering for the CSP is proposed.
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These two sets of costs constitute the total cost of ordering and carrying inventories, and it is fairly easy to calculate an optimal order size that will minimize total inventory costs.
This study demonstrates that the simple direct-compression process can be enabled for low-dose tablet manufacturing through the preparation of an optimal ordered mixture.
Moreover, they have regularly structured, well-conditioned, symmetric, and positive-definite coefficient matrices, which can be efficiently solved by the conjugate gradient method in an optimal order number of iterations without any preconditioning needed.
For the second order elliptic problem, an optimal order error estimate in both a discrete H1 and L2 norms are established for the corresponding weak Galerkin finite element solutions.
Then we apply the results in the numerical solution of a problem arising in contact mechanics, and derive an optimal order error estimate when the linear elements are used.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com