A STOCHASTIC-MODEL OF LUMPING

被引：1

作者：

IORDACHE, O ^{[1
]}

CORBU, S ^{[1
]}

机构：

[1] POLYTECH INST,DEPT MATH,R-78126 BUCHAREST,ROMANIA

来源：

CHEMICAL ENGINEERING SCIENCE | 1987年 / 42卷 / 01期

关键词：

MATHEMATICAL MODELS - MIXERS;

D O I：

10.1016/0009-2509(87)80215-4

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

A natural procedure to simplify the study of a large system is the lumping of states in classes. Here the states of a Markov chain associated with a compartmental model of mixing are grouped in classes. Our aim is to study the non-exactly lumpable systems in which the partition in classes is imposed by a economic and experimental constraints. In such a case the lumped chain is non-Markovian. Consequently RTD must be replaced by conditional RTD. Some ways of obtaining conditional RTD by simple experiments in which only the classes itinerary is recorded are presented. Different lumpings are compared using the entropy as a measure of loss of information by lumping.

引用

页码：125 / 132

页数：8

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