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The partitioning of units in different floors is studied by combining a graph theory approach and a mathematical programming solution procedure.
The adjoint-variable sensitivity analysis scheme for a general integral function within a given time interval is derived, which facilitates a gradient-based mathematical programming solution of the optimization problem.
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In this article we have shown that the use of modelling and mathematical programming yields solutions of the test planning problem that are much better than those currently used by the Company.
Most protection techniques for tabular data rely on the formulation of a large mathematical programming problem, whose solution is computationally expensive even for tables of moderate size.
This work integrates the use of transportation modeling with mathematical programming for the solution of a complex large-scale problem on a real-life transportation network.
Different interacting decision problems (that can be solved through mathematical programming or analytical solutions) are formalized and solved.
The structures, which often involve constraints on the solution sets of other models or complementarity relationships, can be exploited by modern large scale mathematical programming algorithms for efficient solution.
However, because of the complexity of the form of the ensuing mathematical programming problem, an analytical solution is not possible.
A large amount of literature on this problem has been published and nearly all of the authors used mathematical programming (MP) methods for solution.
Our basic LP/DEE approach is to: (1) formulate an instance of motif finding as a graph problem (2) apply the DEE techniques described above in the order of increasing complexity so as to prune the graph (3) use mathematical programming to find a solution to the smaller graph problem and (4) evaluate statistical significance.
This gives rise to opportunities for mathematical programming methods to provide solutions on where investments could be made on the landscape, to maximise multiple environmental benefits.
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