Abstract
This paper deals with reliability–availability–maintainability (RAM) of the sheet manufacturing system of a steel industry. The system comprises of various subsystems viz. conveyors, extractor, furnace, de-scaling unit, roughing mill, Steckel mill, down coiler, and strapping machine. State transition diagram has been developed which depicts various states (fully operational/reduced capacity/failed) of the system. Chapman–Kolmogorov differential equations have been developed from this diagram using mnemonic rule. Mathematical analysis has been carried out using supplementary variable technique. Repair rate has been varied whereas failure rate has been kept constant. Meantime between failure and transient state availability of the system has been calculated using Simpson’s 3/8 rule and Runge–Kutta fourth order method (using MATLAB), respectively. The conclusions drawn may be helpful to the plant management in enhancing system performance by taking accurate and timely maintenance decisions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Moustafa MS (1996) Transient analysis of reliability with and without repair for K-out-of-N: G systems with two failure modes. Reliab Eng Syst Safe 53:31–35. https://doi.org/10.1016/0951-8320(96)00014-2
Limnios N (1997) Dependability analysis of semi-markov systems. Reliab Eng Syst Safe 55:203–207. https://doi.org/10.1016/S0951-8320(96)00121-4
Qamber IS (1999) Reliability study of two engineering models using LU decomposition. Reliab Eng Syst Safe 64:359–364. https://doi.org/10.1016/S0951-8320(98)00082-9
Biswas A, Sarkar J (2000) Availability of a system maintained through several imperfect repairs before a replacement or a perfect repair. Stat Probab Lett 50(2):105–114. https://doi.org/10.1016/S0167-7152(00)00087-0
Dai Y, Jia Y (2001) Reliability of a VMC and its improvement. Reliab Eng Syst Safe 72:99–102. https://doi.org/10.1016/S0951-8320(00)00104-6
Avontuur GC, Werff KV (2002) Systems reliability analysis of mechanical and hydraulic drive systems. Reliab Eng Syst Safe 77:121–130. https://doi.org/10.1016/S0951-8320(02)00039-X
Zou T, Mahadevan S, Mourelatos Z, Meernik P (2002) Reliability analysis of automotive body-door subsystem. Reliab Eng Syst Safe 78:315–324. https://doi.org/10.1016/S0951-8320(02)00178-3
Ebrahimi NB (2003) Indirect assessment of system reliability. IEEE T Reliab 52(1):58–62. https://doi.org/10.1109/TR.2002.805779
Rauzy A (2004) An experimental study on iterative methods to compute transient solutions of large Markov models. Reliab Eng Syst Safe 86:105–115. https://doi.org/10.1016/j.ress.2004.01.007
Chen D, Trivedi KS (2005) Optimization for condition-based maintenance with semi-Markov decision process. Reliab Eng Syst Safe 90:25–29. https://doi.org/10.1016/j.ress.2004.11.001
Samrout M, Yalaoui F, Châtelet E, Chebbo N (2005) New methods to minimize the preventive maintenance cost of series–parallel systems using ant colony optimization. Reliab Eng Syst Safe 89:346–354. https://doi.org/10.1016/j.ress.2004.09.005
Hamada M, Martz HF, Berg EC, Koehler AJ (2006) Optimizing the product-based availability of a buffered industrial process. Reliab Eng Syst Safe 91:1039–1048. https://doi.org/10.1016/j.ress.2005.11.059
Levitin G (2007) Block diagram method for analyzing multi-state systems with uncovered failures. Reliab Eng Syst Safe 92:727–734. https://doi.org/10.1016/j.ress.2006.02.009
Dhillon BS, Shah AS (2007) Availability analysis of a generalized maintainable three-state device parallel system with human error and common-cause failures. J Qual Maint Eng 13(4):411–432. https://doi.org/10.1108/13552510710829498
Sachdeva A, Kumar P, Kumar D (2009) Behavioral and performance analysis of feeding system using stochastic reward nets. Int J Adv Manuf Technol 45(1–2):156–169. https://doi.org/10.1007/s00170-009-1960-8
Garg S, Singh J, Singh DV (2010) Availability analysis of crank-case manufacturing in a two-wheeler automobile industry. Appl Math Model 34:1672–1683. https://doi.org/10.1016/j.apm.2009.09.016
Rodriguez CEP, De Souza GFM (2010) Reliability concepts applied to cutting tool change time. Reliab Eng Syst Safe 95:866–873. https://doi.org/10.1016/j.ress.2010.03.005
Sinha P (2011) Architectural design and reliability analysis of a fail-operational brake-by-wire system from ISO 26262 perspectives. Reliab Eng Syst Safe 96:1349–1359. https://doi.org/10.1016/j.ress.2011.03.013
Levitin G, Xing L, Amari SV, Dai Y (2013) Reliability of non-repairable phased-mission systems with propagated failures. Reliab Eng Syst Safe 119:218–228. https://doi.org/10.1016/j.ress.2013.06.005
Doostparast M, Kolahan F, Doostparast M (2014) A reliability-based approach to optimize preventive maintenance scheduling for coherent systems. Reliab Eng Syst Safe 126:98–106. https://doi.org/10.1016/j.ress.2014.01.010
Liu Z, Tan C, Leng F (2015) A reliability-based design concept for lithium-ion battery pack in electric vehicles. Reliab Eng Syst Safe 134:169–177. https://doi.org/10.1016/j.ress.2014.10.010
Amann C, Kadau K (2016) Numerically efficient modified Runge-Kutta solver for fatigue crack growth analysis. Eng Fract Mech 161:55–62. https://doi.org/10.1016/j.engfracmech.2016.03.021
Pakdaman M, Ahmadian A, Effati S, Salahshour S, Baleanu D (2017) Solving differential equations of fractional order using an optimization technique based on training artificial neural network. Appl Math Comput 293:81–95. https://doi.org/10.1016/j.amc.2016.07.021
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Mehta, M., Singh, J., Singh, M. (2019). Reliability Analysis of Sheet Manufacturing Unit of a Steel Industry. In: Shanker, K., Shankar, R., Sindhwani, R. (eds) Advances in Industrial and Production Engineering . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-6412-9_59
Download citation
DOI: https://doi.org/10.1007/978-981-13-6412-9_59
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-6411-2
Online ISBN: 978-981-13-6412-9
eBook Packages: EngineeringEngineering (R0)