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The dichotomous programming method in discrete optimization

Burkov V., Burkova I.

Systems Science

2004

Vol. 30, no 3

105-113

The problem of additive function minimization under the restriction, given by the function, admitting dichotomous representation (calculation of the function's values is reduced to sequential calculation of the values of functions of two variables) is considered. A method for calculation of lower estimations and the method of branches and bounds, based on these estimations, are described.

Models and methods of multiprojects' management.

Burkov V., Novikov D.A.

Systems Science

1999

Vol. 25, nr 2

5-14

The paper deals with the problems of resource allocation between several independent projects. The problem is to minimise the time of implementation of all the projects or the weighted sum of termination times. The approach described is based on the representation of a project as the separate operation. Then the problem of optimal resource allocation between the operations is solved. Given resource allocation for every project, one can solve the problem of allocation inside the multiproject. Allocation and aggregation methods are explored.