**Our Publications **

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**2014**

**Frenkel, I, Karagrigoriou, A, Lisnianski, A & Kleyner, A** (Eds) (2014). *Applied Reliability Engineering and Risk Analysis: Probabilistic Models and Statistical Inference*. Wiley: Chichester.

**Frenkel, I, Lisnianski, A & Khvatskin, L** (2014). On Lz-transform Application for Availability Assessment of Aging Multi-state Water Cooling System for Medical Equipment, in: *Applied Reliability Engineering and Risk Analysis: Probabilistic Models and Statistical Inference*, Eds. Frenkel, I, Karagrigoriou, A, Lisnianski, A & Kleyner, A. Wiley: Chichester pp. 59-77.

**2013**

**Frenkel, I, Khvatskin, L Daichman, S, and Lisnianski, A**. (2013). Assessing Water Cooling System Performance: Lz-transform Method, in *Proceedings of the 2013 International Conference on Availability, Reliability and Security (ARES2013*), 2-6 September 2013, University Regensburg, Germany, pp 737-742, ISBN 978-0-7695-5008-4/13, IEEE CPS.

**Daichman, S, Frenkel, I, Khvatskin, L and Lisnianski, A**, (2013). On aging components impact on Multi-state water cooling system: Lz-transform application for availability assessment, in Proceedings of the 9th International Conference on Digital Technologies (DT2013), Eds. Zaitseva, E. & Lavashenko, V., Zilina, Slovakia, May 29 – 31, 2013, pp 156-161, IEEE, ISBN 978-1-4799-0924-7/13, IEEE Catalog Number CFP13CDT

**2012**

**Frenkel, I, Lisnianski, A & Khvatskin, L**, (2012). *Availability Assessment for Aging Refrigeration System by Using Lz-transform*, Journal of Reliability and Statistical Studies, vol. 5, no. 2, pp 33-43

**Lisnianski, A & Frenkel, I** (Eds) (2012). *Recent Advances in System Reliability: Signatures, Multi-state Systems and Statistical Inference.* Springer: London.

**Frenkel, I & Khvatskin, L** (2012). Reliability Decisions for Supermarket Refrigeration System by using Combined Stochastic Process and Universal Generating Function Method: Case Study, in: *Recent Advances in System Reliability: Signatures, Multi-state Systems and Statistical Inference*, Eds. Lisnianski, A & Frenkel, I, Springer: London, pp. 109-126.

**Frenkel, I, Lisnianski, A and & Khvatskin, L**, (2012). Lz-transform application to reliability measures estimation of aging MSS refrigeration system: Case study, in *Proceedings of the 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA2012)*, Vienna University of Technology, Austria, July 10 – 14, 2012, pp 377-382, American Institute of Physics

**2011**

**Frenkel, I & Khvatskin, L**, (2011). Reliability Assessment for Refrigeration System Based on Combined Universal Generating Function and Stochastic Process Method, in *Proceedings of the 7th International Conference on “Mathematical Methods in Reliability: Theory, Methods and Applications” (MMR2011)*, Eds. Lirong Cui & Xian Zhao, Beijing Institute of Technology Press, Beijing, China, pp 293-299.

**Eid, M, Frenkel I & Khvatskin, L,** (2011). *MSS Equivalent Parameters Assessment: Maintenance Management of Refrigeration System*, Mathematics in Engineering, Science and Aerospace (MESA), vol. 2, no. 3, pp 299-309.

**Karagrigoriou, A, Biebler, K-E and Frenkel, I** (Eds) (2011). *Risk Analysis*, Shaker, Verlag, Aachen.

**Frenkel, I, Lisnianski, A & Khvatskin, L**, (2011). Reliability Assessment for Complex Refrigeration System, in *Proceedings of the International Conference on Risk Analysis*, Ed. Karagrigoriou, A, Nicosia, Cyprus, pp 97-104.

**2010**

**Frenkel, I, Khvatskin, L & Lisnianski, A**, (2010). Structure decision making based on Universal Generating Functions for refrigeration system, *Journal of Applied Quantitative Methods*, vol. 5, no. 3, pp 397-412.

**Lisnianski, A, Frenkel, I & Ding, Y** (2010), *Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers*. Springer, London.

**Frenkel, I, Khvatskin, L & Lisnianski, A, **(2010), Management Decision Making based on Markov Reward Models for Refrigeration System, SSARS2010, Journal of Polish Safety and Reliability Association, Vol. 1, 89-98

**Frenkel, I & Khvatskin, L **(2010), Reliability Measures Calculation of Supermarket Refrigeration System, in *Proceedings of the International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management*, 8-11 February, Beer Sheva, Israel, pp 1-12.

**Frenkel, I, Khvatskin, L & Lisniansky, A, **(2010)**, **Markov reward model for performance deficiency calculation of refrigeration system, in *Reliability, Risk and Safety: Theory and Applicationa*, Eds. Bris, R, Soares, CG & Martorell, S, CRC Press, Taylor & Francis Group: London, pp. 1591-1596.

**2009**

**Frenkel, I, Lisnianski, A, & Khvatskin, L **(2009), Corrective maintenance and reliability associated cost estimation of aging multi-state systems, *Computer Modelling and New Technologies*, vol. 13, no. 1, pp 32 – 38 .

**Ding, Y, Lisnianski, A, Frenkel, I & Khvatskin, L **(2009), Optimal corrective maintenance contract planning for aging multi-state system, *Applied Stochastic Models in Business and Industry*, vol. 25, no. 5, pp 612 – 631 ** .**

**Ding, Y, Lisnianski, A, Wang P, Goel L, & Chiang L-P **(2009), Dynamic reliability assessment for bilateral contact electricity providers in restructured power systems, *Electric Power Systems Research*, 78, pp 1424 – 1430 ** . **

**Lisnianski, A & Frenkel, I **(2009), ‘Non-homogeneous Markov reward model for aging multi-state system under minimal repair’, *International Journal of Performability Engineering*, vol. 5, no. 4, pp. 303-312 .

**Lisnianski, A & Ding, Y **(2009), ‘Redundancy analysis for repairable multi-state system by using combined stochastic methods and universal generating function technique’, *Reliability Engineering and System Safety*, 94, pp. 1788-1795 .

**Khvatskin, L & Frenkel, I **(2009), Multi-state Markov reward models for reliability measures calculation of refrigeration system, in *Proceedings of the 6-th International Conference on Mathematical Methods in Reliability *(*MMR2009),* Eds: Kuznetsov, N & Rykov, V, Moscow, Russia, pp. 145-149.

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**2008**

**Lisnianski, A, Frenkel, I, Khvatskin, L & Ding, Y (**2008), Maintenance contract assessment for aging system, *Quality and Reliability Engineering International*, vol. 24, no. 5, pp. 519-531.

**Lisnianski A, (**2008), Point Estimation of the Transition Intensities for a Markov Multi-state System via Output Performance Observation, in *Advances in Mathematical Modeling for Reliability. *T. Bedford et al. (Eds), IOS Press, pp. 227-234.

**Frenkel, I, Khvatskin, L & Lisnianski, A** (2008), Corrective maintenance for air-conditioning systems, in *Safety, Reliability and Risk Analysis: Theory, Methods and Applications*, Eds. Martorell, S, Soares, CG & Barnett, J, CRC Press, Taylor and Francis Group: London, pp. 483-488 .

**Ding, Y, Zuo M, Lisnianski A, & Tian Z (**2008), Fuzzy Multi-state Systems: General Definitions and Performance Assessment, *IEEE Transactions on reliability*, vol. 57, no. 4, pp. 589-594.

**Ding, Y, & Lisnianski A (**2008), Fuzzy Universal Generating Functions for Multi-state System Reliability Assessment, *Fuzzy Sets and Systems*, vol. 159, no. 3, pp. 307-324.

**Lisnianski, A, Frenkel, I & Khvatskin, L** (2008), Non-homogeneous Markov reword model for aging multi-states systems under corrective maintenance, in *Safety, Reliability and Risk Analysis: Theory, Methods and Application*s, Eds. Martorell, S, Soares, CG & Barnett, J, CRC Press, Taylor and Francis Group: London, pp. 551-558

**Frenkel, I, Lisniansky, A & Khvatskin, L** (2008), Mathematical models for corrective maintenance of aging multi-state systems, in *Proceedings of the 7th International Conference Mathematical Problems in Engineering, Aerospace and Science*, Eds. Sivasundaram, S & Sanguineti, M, Genoa, Italy, vol. 32, pp. 1-12.

**2007**

**A. Lisnianski, I. Frenkel, L. Khvatskin, Yi Ding**. (2007). Multi-state System Reliability Assessment by Using the Markov Reward Model, in: *Statistical Models and Methods for Biomedical and Technical Systems*, Eds. F. Vonta, M. Nikulin, N. Limnios, C. Huber-Carol, BirkhaÃ¼ser: Boston, 2007, 153-168.

**Lisnianski, A, Ding, Y, Frenkel, I & Khvatskin, L** (2007), Maintenance optimization for multi-state aging systems, in *Proceedings of the International Conference on Mathematical Methods in Reliability*, Eds. Bedford, T, Walls, L, Quigley, J, Alkali, B, Daneshkman, A & Hardman, G, Glasgow, Scotland, no. 4, pp. 1-12.

**Lisnianski, A** (2007), Extended block diagram method for a multi-state system reliability assessment. *Reliability Engineering and System Safety *92, pp. 1601-1607*.*

**Lisnianski, A** (2007), The Markov Reward Model for a Multi-state System Reliability Assessment with Variable Demand. *Quality Technology and Quantitative Management, *4 (2), pp. 265-278*.*

**2006**

**Ding, Y, Lisnianski, A & Frenkel, I (2006), **Multi-state system reliability assesmant by using state reduction techniques, *Communications in Dependability and Quality Management*, vol. 9, no. 3, pp. 82-89.

**A. Lisnianski** , **I. Frenkel**, **L. Khvatskin** and **Yi Ding** (2006). Markov Reward Model for Multi-State System Reliability Assessment, in: *Proceedings of the International Conference “Statistical Methods for Biomedical and Technical Systems”*, Ed. F. Fonta, May 2006, Limassol, Cyprus, pp. 373-379.

**Yi Ding, A. Lisnianski** , **I. Frenkel** (2006). Fuzzy Bases State Reduction Technique for Multi-State System Reliability Assessment, in: *Proceedings of the International Conference “Statistical Methods for Biomedical and Technical Systems”*, Ed. F. Fonta, May 2006, Limassol, Cyprus, pp. 269-274.

** I. Frenkel** and **L. Khvatskin** (2006). Cost-Effective Maintenance with Preventive Replacement of Oldest Components, *Maintenance and Reliability*, 2(30), 37-39.

**Yi Ding,** **I. Frenkel**, **L. Khvatskin** and **A. Lisnianski** (2006). Optimal Professionally Oriented Repair Teams for Multi-state System, in: *Proceedings of the 14th Conference of Industrial Engineering and Management IE&M 2006*, Ed. S. Ladani, ORTRA, Tel Aviv, Israel.

**I. Frenkel**, **L. Khvatskin,** **A. Lisnianski**, and **Yi Ding** (2006). Markov Models for Computation of Reliability for Complex Systems, Technical Report No. 1, SCE, Beer Sheva, Israel.

**2005**

**I. Frenkel**, Ilya Gertsbakh, **L. Khvatskin** (2005). On the Simulation Approach to Hypotheses Testing for Nonhomogeneous Poisson Process, in *Proceedings of the International Workshop on Stochastic Modelling and Inference in Life Sciences*, September, 1-4, 2005, Potsdam, Germany, pp. 35-39.

**L. Khvatskin**, **I. Frenkel** and **A. Lisnianski** (2005). Markov Reward Model Application to Decision Making about the Best Configuration of the Refrigeration System, inÂ *Proceedings of the International Conference on Reliability and Statistics in Transport and Communication* (RelStatâ€™05), Riga, Latvia, pp. 32.

**I. Frenkel**, I. Gertsbakh, **L. Khvatskin** (2005). On the Availability Maximization of Protective Equipment, in *Proceedings of The International Symposium on Stochastic Models in Reliability, Safety, Security and Logistics*, Beer-Sheva, Israel, pp. 122-125.