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AASCIT Communications | Volume 2, Issue 6 | Dec. 11, 2015 online | Page:307-319
Theory of Transformations: Some Basic Representations of Practical Problems
The Production transformation processes may be defined as a strictly determined sequence of actions, operations, and processing that guaranties a desirable result. They are divided, depending on the degree of their uncertainty, into three types. The main goal of the production process is to receive repetitive results. Yet, the final results are never strictly identical. It means that the full identity of different objects is principally impossible. It is possible to detect a set of properties, features or actions which are the same for similar objects or processes. If a set of these features (properties, actions) is complete and does not include any excessive ones, it is defined as Fundamental Properties. Two objects with the same Fundamental Properties are not completly identical. The set of Fundamental Poperties defines so called sameness objects and processes. As a result, one can say that production processes can produce only the sameness results or goods. Fundamental properties for any object or phenomena may be defined in different ways for different hierarchic levels. They can also be changed for different observers or measuring systems. It is shown the growth of diversity at the top level of a hierarchical organization is ensured by limiting diversity at the lower levels. At the same time, increasing diversity on the lower level destroys the top level of the system's organization. The necessary flexibility of production system and optimization problems in full flow charts are studied. It was find the stability of the whole production system is closely connected with its hierarchical structure. The more independent levels in the hierarchy of the production system are the more stable the system is as a whole. Some ways for further investigation of the detected problems are discussed. Some ways for further investigation of the detected problems are discussed.
Vladimir Romanenko, North-Western Branch of Academy of Information Technologies in Education, Russia.
Galina Nikitina, North-Western Branch of Academy of Information Technologies in Education, Russia.
Fundamental Properties, Identity, Sameness, Hierarchical Structure, Production Transformations, Performance, Optimization, Stability
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Arcticle History
Submitted: Oct. 15, 2015
Accepted: Nov. 3, 2015
Published: Dec. 11, 2015
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