The Effect of Maintenance Quality on Spare Parts Inventory for a Fleet of Assets

This paper considers the effect of fleet size on a joint policy of maintenance and spare parts inventory when spare parts are of varying quality. We consider N identical one-component systems subject to age-based replacement, and with a single echelon periodic review spare-parts policy. The joint policy is optimised with regard to the long-run total cost per unit time, where the cost components include both replacement and inventory related costs. In particular, we are interested in the effect of spare parts quality and the size of the fleet on the variability in the demand for spare parts. Furthermore, the effects of changing lead time, different failure characteristics, and simultaneous deployment of the N systems over a finite horizon on the optimal joint policy are investigated. We develop a stochastic simulation model to investigate these effects. We find that the scale effect varies with the quality of spare parts: the poorer the quality of spare parts, the smaller the scale effect. Our approach allows the value (e.g. cost of poor quality spare parts) in spare parts provisioning for maintenance to be quantified.

[1]  R. Jiang,et al.  Mixture of Weibull distributions - Parametric characterization of failure rate function , 1998 .

[2]  Ali Gharbi,et al.  Joint modified block replacement and production/inventory control policy for a failure-prone manufacturing cell , 2011 .

[3]  Cristiano Alexandre Virgínio Cavalcante,et al.  Modelling quality in replacement and inspection maintenance , 2012 .

[4]  Shan-Huo Chen,et al.  Optimization of fuzzy production inventory model with unrepairable defective products , 2008 .

[5]  Shunji Osaki,et al.  Optimum Ordering Policies with Lead Time for an Operating Unit in Preventive Maintenance , 1978, IEEE Transactions on Reliability.

[6]  Steven E. Rigdon.  Repairable Systems Reliability , 2014 .

[7]  Ali Gharbi,et al.  Joint optimal production control/preventive maintenance policy for imperfect process manufacturing cell , 2012 .

[8]  Haitao Liao,et al.  Joint Production and Spare Part Inventory Control Strategy Driven by Condition Based Maintenance , 2010, IEEE Transactions on Reliability.

[9]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[10]  Anis Chelbi,et al.  Spare provisioning strategy for preventively replaced systems subjected to random failure , 2001 .

[11]  Yung-Hsiang Cheng,et al.  Rolling stock maintenance strategy selection, spares parts’ estimation, and replacements’ interval calculation , 2010 .

[12]  Derek Atkins,et al.  Joint optimization of maintenance and inventory policies for a simple system , 1996 .

[13]  Tadashi Dohi,et al.  Classical Maintenance Models , 2002 .

[14]  Shunji Osaki,et al.  A Note on Ordering Policy , 1978, IEEE Transactions on Reliability.

[15]  Luca Podofillini,et al.  Condition-based maintenance optimization by means of genetic algorithms and Monte Carlo simulation , 2002, Reliab. Eng. Syst. Saf..

[16]  Michael C. Fu,et al.  Models for multi-echelon repairable item inventory systems with limited repair capacity , 1997 .

[17]  Dah-Chuan Gong,et al.  On a production-inventory system of deteriorating items subject to random machine breakdowns with a fixed repair time , 2006, Math. Comput. Model..

[18]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[19]  Enrico Zio,et al.  Genetic algorithms and Monte Carlo simulation for optimal plant design , 2000, Reliab. Eng. Syst. Saf..

[20]  Rommert Dekker,et al.  Spare parts stock control for redundant systems using reliability centered maintenance data , 2011, Reliab. Eng. Syst. Saf..

[21]  V. Daniel R. Guide,et al.  Repairable inventory theory: Models and applications , 1997 .

[22]  Wenbin Wang,et al.  Spare parts demand : linking forecasting to equipment maintenance , 2011 .

[23]  Yan-Chun Chen,et al.  The impact of inspection errors, imperfect maintenance and minimal repairs on an imperfect production system , 2011, Math. Comput. Model..

[24]  Phil Scarf,et al.  Modelling the effect of maintenance quality on spare parts inventory , 2012 .

[25]  Dirk Cattrysse,et al.  Joint maintenance and inventory optimization systems: A review , 2013 .

[26]  Gede Agus Widyadana,et al.  Optimal deteriorating items production inventory models with random machine breakdown and stochastic repair time , 2011 .

[27]  W. J. Kennedy,et al.  An overview of recent literature on spare parts inventories , 2002 .

[28]  Wenbin Wang,et al.  A joint spare part and maintenance inspection optimisation model using the Delay-Time concept , 2011, Reliab. Eng. Syst. Saf..

[29]  Ruhul A. Sarker,et al.  Optimization of maintenance and spare provisioning policy using simulation , 2000 .

[30]  Aris A. Syntetos,et al.  On the categorization of demand patterns , 2005, J. Oper. Res. Soc..

[31]  Charles H. Falkner.  Optimal spares for stochastically failing equipment , 1969 .

[32]  D. Acharya,et al.  Jointly Optimal Block-Replacement and Spare Provisioning Policy , 1986, IEEE Transactions on Reliability.

[33]  S.M.A. Suliman,et al.  Optimization of preventive maintenance schedule and production lot size , 2012 .

[34]  Sami El-Ferik,et al.  Economic production lot-sizing for an unreliable machine under imperfect age-based maintenance policy , 2008, Eur. J. Oper. Res..

[35]  A.B.M. Zohrul Kabir,et al.  A stocking policy for spare part provisioning under age based preventive replacement , 1996 .

[36]  Dennis E. Kroll,et al.  Integrated production-inventory models for imperfect production processes under inspection schedules , 2003 .

[37]  P Scarf,et al.  Spare parts provision for a maintained system with a heterogeneous lifetime , 2011 .

[38]  Semra Tunali,et al.  Joint optimization of spare parts inventory and maintenance policies using genetic algorithms , 2007 .

[39]  Michael J. Armstrong,et al.  A note on joint optimization of maintenance and inventory , 1998 .