Open AccessFORMULATION OF MATHEMATICAL MODEL FOR MAINTENANCE COST OF A STONE CRUSHING PLANT BASED ON DIMENSIONAL ANALYSIS AND MULTIPLE REGRESSION
Author(s) -
Anjali Joshi,
J. P. Modak
Publication year - 2013
Publication title -
international journal of applied research in mechanical engineering
Language(s) - English
Resource type - Journals
ISSN - 2231-5950
DOI - 10.47893/ijarme.2013.1104
Subject(s) - dimensionless quantity , regression analysis , mathematics , regression , mean squared error , mathematical model , set (abstract data type) , statistics , computer science , mechanics , physics , programming language
This paper presents the approach for the mathematical modeling of maintenance cost for the set up of new Stone Crushing Plant based on the dimensional analysis and multiple regression. Presented maintenance cost mathematical model is derived based on the generated design data. Design data is generated from actual design of all stone crushing plants followed by static and dynamic analysis. Estimation of design data is carried out based on the assumed plant layout. Dimensional analysis is used to make the independent and dependent variables dimensionless and to get dimensionless equation. Later, multiple regression analysis is applied to this dimensionless equation to obtain the index values based on the least square method. The mathematical model of maintenance cost is formulated using these obtained index values. Finally, the formulated model is evaluated on the basis of correlation and root mean square error between the computed values by model and the estimated values.