Title :
Recursive method for generating the coefficient matrix of the system of homogeneous differential equations describing nonstationary system maintenance
Author :
Bubnov, V.P. ; Khomonenko, A.D. ; Sergeev, S.A.
Author_Institution :
Petersburg State Transp. Univ., Russia
Abstract :
Recursive algorithm is proposed to generate the coefficient matrix for a system of ordinary differential equations describing non-stationary system service that does not require withdrawal of the general equation of a system of homogeneous differential equations. An example of its implementation and results of the mutual testing of analytical and simulation models of non-stationary system service.
Keywords :
differential equations; matrix algebra; recursive functions; coefficient matrix; homogeneous differential equations; nonstationary system maintenance; nonstationary system service; ordinary differential equations; recursive method; Analytical models; Arrays; Differential equations; Load modeling; Mathematical model; Queueing analysis; Sorting; a system of differential equations; recursive method; transient service system;
Conference_Titel :
Soft Computing and Measurements (SCM), 2015 XVIII International Conference on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4673-6960-2
DOI :
10.1109/SCM.2015.7190415
