International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Stochastic Biometric System Modelling with Rework Strategy

Mangey Ram
Department of Mathematics, Graphic Era University, Dehradun, Uttarakhand-248002, India.

Monika Manglik
Department of Mathematics, Graphic Era University, Uttarakhand-248002, India.


Received on February 17, 2016
Accepted on March 01, 2016


In this paper, the authors proposed the reliability mathematical modeling of a biometric system that computerizes the whole process of taking attendance and keeping its records in an academic institute. Manually taking attendance and sustaining it for a long time is very difficult as well as wastes a lot of time. For this cause, an efficient system has to be designed. This system takes attendance electronically with the help of a fingerprint scanner, and all the records are saved on a computer server. In order to mark the attendance, student or employee has to place his/her finger on the fingerprint sensor. On proof of identity student’s or employee’s record is well-run in the database, and he/she is reported through liquid-crystal display screens. Here, the authors evaluated reliability measures of the system such as availability, reliability, mean time to failure (MTTF), cost analysis and sensitivity analysis with the help of Laplace transformation, supplementary variable technique, and Markov technique.

Keywords- Biometric system, System modelling, Availability, Sensitivity analysis.


Ram, M., & Manglik, M. (2016). Stochastic Biometric System Modelling with Rework Strategy. International Journal of Mathematical, Engineering and Management Sciences, 1(1), 1-17.

Conflict of Interest



Ambalakat, P. (2005). Security of biometric authentication systems. 21st Computer Science Seminar.

Andrews, J. D., & Moss, T. R. (1993). Reliability and risk assessment. Longman Scientific & Technical.

Cheng, K., Xiang, L., Hirota, T., & Ushijima, K. (2005). Effective teaching for large classes with rental PCs by web system WTS. In Proc. Data Engineering Workshop (Vol. 2005).

Henley, E. J. & Kumamoto H. (1992). Probabilistic Risk Assessment: IEEE Press.

Kadry, S., & Smaili, M. (2013). Wireless attendance management system based on iris recognition. Scientific Research and Essays, 5(12), 1428-1435.

Karray, F., Saleh, J. A., Arab, M. N. and Alemzadeh, M. (2007). Multi Modal Biometric Systems: A State of Art Survey. Pattern Analysis and Machine Intelligence Laboratory, University of Waterloo, Waterloo Canada.

Maltoni, D., Maio, D., Jain, A., & Prabhakar, S. (2009). Handbook of fingerprint recognition. Springer Science & Business Media.

Navaz, T., Pervaiz, S., Korrani, A.K. and Azhar-Ud-Din (2009). Development of Academic Attendance Monitoring System Using Fingerprint Identification. International Journal of Computer Science and Network Security, 9(5), 164-168.

Pankanti, S., Prabhakar, S., & Jain, A. K. (2002). On the individuality of fingerprints. Pattern Analysis and Machine Intelligence, IEEE Transactions on, 24(8), 1010-1025.

Park, M., & Pham, H. (2010). Warranty cost analyses using quasi-renewal processes for multicomponent systems. Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on, 40(6), 1329-1340.

Ram, M. (2010). Reliability measures of a three-state complex system: a copula approach. Applications and Applied Mathematics: An International Journal, 5(10), 1483-1492.

Ram, M., & Singh, S. B. (2008). Availability and cost analysis of a parallel redundant complex system with two types of failure under preemptive-resume repair discipline using Gumbel-Hougaard family copula in repair. International Journal of Reliability, Quality and Safety Engineering, 15(04), 341-365.

Ram, M., & Singh, S. B. (2010). Analysis of a complex system with common cause failure and two types of repair facilities with different distributions in failure. International Journal of Reliability and Safety, 4(4), 381-392.

Ram, M., & Singh, S. B. (2010). Availability, MTTF and cost analysis of complex system under preemptive-repeat repair discipline using Gumbel-Hougaard family copula. International Journal of Quality & Reliability Management, 27(5), 576-595.

Ram, M., Singh, S. B., & Singh, V. V. (2013). Stochastic analysis of a standby system with waiting repair strategy. Systems, Man, and Cybernetics: Systems, IEEE Transactions on, 43(3), 698-707.

Saraswat, C., & Kumar, A. (2010). An efficient automatic attendance system using fingerprint verification technique. International Journal on Computer Science and Engineering, 2(02), 264-269.

Schneier, B. (1999). Biometrics: uses and abuses. Communications of the ACM, 42(8), 58.

Shoewu, O. S. O., & Lawson, A. L. A. (2011). Embedded Computer-Based Lecture Attendance Based Lecture Attendance Management System Management System. African Journal of Computing & ICT September, 4(3), 27-36.

Shoewu, O., & Badejo, O. (2006). Radio frequency identification technology: development, application, and security issues. The Pacific Journal of Science and Technology, 7(2), 144-15.

Shoewu, O., & Idowu, O. A. (2012). Development of attendance management system using biometrics. The Pacific Journal of Science and Technology, 13(1), 300-307.

Singh, V. V., Ram, M., & Rawal, D. K. (2013). Cost analysis of an engineering system involving subsystems in series configuration. Automation Science and Engineering, IEEE Transactions on, 10(4), 1124-1130.

Verma, A. K., Srividya, A., & Karanki, D. R. (2010). Reliability and safety engineering (pp. 5-7). London: Springer.

Weaver, A. C. (2006). Biometric authentication, Computer. 39(2), 96-97.

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