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- Iushchenko, Kateryna, 1984, et al.
(author)
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Matrix Ordered Operator Algebras
- 2007
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In: Indiana University Journ. Math..
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Other publication (other academic/artistic)
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- Almgren, Torgny, 1962, et al.
(author)
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The replacement problem: A polyhedral and complexity analysis. The complete version
- 2009
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Other publication (other academic/artistic)abstract
- We consider an optimization model for determining optimal opportunistic maintenance (that is, component replacement) schedules when data is deterministic. This problem, which generalizes that of Dickman et al., is a natural starting point for the modelling of replacement schedules when component lives are non-deterministic, whence a mathematical study of the model is of large interest. We show that the convex hull of the set of feasible replacement schedules is full-dimensional, and that all the necessary inequalities are facet-inducing. Additional facets are then provided through Chvatal-Gomory rounding. We show that when maintenance occasions are fixed, the remaining problem reduces to a linear program; in some cases the latter is solvable through a greedy procedure. We further show that this basic replacement problem is NP-hard.
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- Borell, Christer, 1945
(author)
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The Ehrhard inequality
- 2003
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In: C. R. Acad. Sci Paris. ; Ser I 337, s. 663-666
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Other publication (other academic/artistic)
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