Simplification Criteria Research Articles

Strategic adaptation as a partially rational process

Limits to the action of strategic adaptation derive essentially from the temporal and dimensional complexity of the system of the firm. Consequently, a ‘temporal/organizational area decision-making matrix’ has been developed and decisions classified accordingly. Problem-solving approaches adopted in facing complexity and uncertainty appear to be based mainly on the criterion of simplification and on that which ensues of decomposition. Measures currently applied in the process of simplification are examined, including utilization of models. Extra-rational or even irrational elements intervene in the process of strategic adaptation, caused primarily by complexity and by the social-heuristic nature of planning. Basic areas in which extra-rational elements (such as personal opinions, imagination and intuition) play an essential role are singled out and appropriate organizational mechanisms are identified which could assist in attaining the maximum synergic effect from the combined application of rational and extra-rational contributions to planning.

Asymptotic integration of static equations of the theory of elasticity in cartesian coordinates with automated search of integration parameters: PMM vol. 43, no. 5, 1979, pp. 859–868

The formal method of search of asymptotic integration parameters which makes possible a comprehensive classification of all possible variants of simplified equations on the basis of the minimal simplification criterion is considered on examples of static equations of the theory of elasticity for orthotropic and isotropic media. The method which is suitable for use on computers provides the possibility of operating with a large number of parameters. In the case of three-dimensional equations of the theory of elasticity for an Isotropic medium it is possible to obtain by this method all known (presented earlier in [1]) variants, as well as a number of other.

New simplification criterion relating different reduction algorithms

A transfer-function simplification criterion is introduced which relates explicitly many known reduction algorithms. Based on this criterion, a systematic approach is proposed for obtaining many reduced models, previously derived only by quite different methods.