A modified Markov model for the estimation of computer software performance

Authors:
J.H Kim;Y.H Kim;C.J Park
Affiliations:
Department of Mathematics, Korea Military Academy, Seoul, Korea;Department of Industrial Engineering, Korea University, Seoul, Korea;Department of Mathematical Sciences, San Diego State University, San Diego, CA 92119, U.S.A.
Venue:
Operations Research Letters
Year:
1982

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Abstract

The model proposed by Trivedo and Shooman [8] is extended and modified by assuming that (1) the error occurrence rate when the machine is running is proportional to the number of errors in the system; (2) the error correction rate has two components, either an error is corrected with correction rate @m"0 or an error is corrected but a new error is created with ineffective correction rate @m"1. The solution of the differential equations corresponding to the model is obtained in closed form.