Using smart card and predicted Markov chains to organize the numbers of pensions in Rasheed – Bank .

Abstract

This paper deals with using some methods of Stochastic Processes , through Markov chain , Markov matrix to calculate the average number of years for survival time to receive the pension retired , and this average number of years can be used also in the assessment and analysis of the number of retirees who raise their salaries on the smart card in the coming years . The Markov chain contribute in predicting a future state , depending on a matrix of transition probabilities and precedent state . this work helps in locating states of transition system from one period to another , this helps in estimating the number of retirees have been issued card in order for them to receive their salaries . this leads to study and analysis of the correlation among retirees and institutions with which the pension have been received , (Namely , the national pension , the bank and the company Smart Card ) , to help in predicting numbers of retirees to the Rasheed Bank for the years (2013 - 2017). It was noted that the theoretical basis for model Markov that applied in the analysis of this phenomenon in both determine the total number of pensioners who can receive their salaries on the card and who did not raise their salaries on the card, although it has been issued card to them , or in measuring the time required for the survival of a retired every two months to receive their dues and both the military and civilian sections , This is the indicator can take advantage of it by decision-makers when them doing the future development plans by the above institutions