Stochastic Modeling and Cost Analysis of some Industrial Systems

Abstract

The study of operational research started during the second world war and afterwards. With the development of operational research, the study of reliability theory emerged as by product in context of defence studies. The words reliable and reliability are in use from ancient time. In fact these occur frequently in social, political, economical and practical fields to indicate the efficiency of a person or mechanical equipment. A mathematical shape to the word reliability was given later in 1950 with its scientific use for defence purpose. Realizing its importance, the study of reliability theory was developed in western world. The present thesis entitled Stochastic Modeling and Cost Analysis of Some Industrial Systems is an attempt to develop the reliability models of the system with varied production capacity depending upon the demand with following objectives: (i) Understanding the process of industries and to create model(s) for the selected industrial system. (ii) To analyse the reliability and availability of industrial system to be considered. (iii) To analyse various other measures like cost-benefit analysis, busy period, mean time to system failure and expected number of visits by repairmen using Semi- Markov process and Regenerative point technique. (iv) To compare the effectiveness of the systems on the basis of the models (to be developed) taking two at a time using Semi-Markov process and Regenerative point technique. Data on failure / repair time and various costs has been collected on visiting Kohinoor Rice Mill. The reliabilities have been developed by considering various situations existing in the mill visited. Mean Time to system Failure and various other measures of system effectiveness have been obtained using Semi-Markov process and Regenerative Point Technique. For calculating measures of system effectiveness programming is done in MATLAB. The graphical study of these measures has been done in ORIGIN. Laplace / Laplace Stieltjes transforms and convolution are used for deriving expressions