Modeling Spare Parts Demands Forecast under Two-Dimensional Preventive Maintenance Policy

In maintenance practice, there is such a situation where the spare parts replacement should be carried out at the scheduling time of calendar or usage for whichever comes first. The issue of two-dimensional preventive maintenance usually was not addressed by traditional methods, and at present, few studies were focused on this very topic. Based on these considerations, this paper presented the two-dimensional preventive policy where replacements of spare parts are based on both calendar time and usage time. A novel model was developed to forecast spare parts demands under two-dimensional preventive maintenance policy, and a discrete algorithm was presented for solving the mathematical model. A case study was given to demonstrate its applicability and validity, and it was showed that the presented model can be used to forecast spare parts demands as well as to optimize spare parts and preventive maintenance jointly.

[1]  Mahmood Shafiee,et al.  Two-Dimensional Warranty Cost Analysis for Second-Hand Products , 2011 .

[2]  T Duchesne,et al.  Alternative Time Scales and Failure Time Models , 2000, Lifetime data analysis.

[3]  Tom Chen,et al.  Maintenance policies with two-dimensional warranty , 2002, Reliab. Eng. Syst. Saf..

[4]  Kwei Tang,et al.  Cost analysis of two-attribute warranty policies based on the product usage rate , 1999 .

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

[6]  Nanua Singh,et al.  A modeling framework for assessing the impact of new time/mileage warranty limits on the number and cost of automotive warranty claims , 2005, Reliab. Eng. Syst. Saf..

[7]  Amit Gupta,et al.  Steady‐state approximation of a multiechelon multi‐indentured repairable‐item inventory system with a single repair facility , 1993 .

[8]  Jong Soo Kim,et al.  Optimal algorithm to determine the spare inventory level for a repairable-item inventory system , 1996, Comput. Oper. Res..

[9]  S. Rahman.  Reliability Engineering and System Safety , 2011 .

[10]  Gisela Lanza,et al.  Optimization of preventive maintenance and spare part provision for machine tools based on variable operational conditions , 2009 .

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

[12]  Stefanka Chukova,et al.  Product warranty: modelling with 2D-renewal process , 2008 .

[13]  Matthieu van der Heijden,et al.  Joint optimisation of spare part inventory, maintenance frequency and repair capacity for k-out-of-N systems , 2009 .

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

[15]  Joel A. Nachlas,et al.  Bivariate reliability and availability modeling , 2001, IEEE Trans. Reliab..

[16]  Sagnik Sinha,et al.  Optimal determination of warranty region for 2D policy: A customers' perspective , 2006, Comput. Ind. Eng..

[17]  Surajit Pal,et al.  An application of Gumbel's bivariate exponential distribution in estimation of warranty cost of motor cycles , 2003 .

[18]  Stefanka Chukova,et al.  Two-dimensional warranty repair strategy based on minimal and complete repairs , 2006, Math. Comput. Model..

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

[20]  D. N. Prabhakar Murthy,et al.  A repair-replace strategy based on usage rate for items sold with a two-dimensional warranty , 2009, Reliab. Eng. Syst. Saf..

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

[22]  Richard J. Wilson,et al.  Two-Dimensional Failure Modeling , 2006 .

[23]  Wenbin Wang,et al.  A stochastic model for joint spare parts inventory and planned maintenance optimisation , 2012, Eur. J. Oper. Res..

[24]  Maxim Finkelstein.  On systems with shared resources and optimal switching strategies , 2009, Reliab. Eng. Syst. Saf..

[25]  B. M. Rao,et al.  Expected warranty cost of two-attribute free-replacement warranties based on a bivariate exponential distribution , 2000 .

[26]  D. N. P. Murthy,et al.  Two‐dimensional failure modeling with minimal repair , 2004 .

[27]  David M. Miller,et al.  Base stock level determination for high cost low demand critical repairable spares , 1994, Comput. Oper. Res..

[28]  Sencer Yeralan,et al.  Economically Optimum Maintenance, Repair and Buffering Operations in Manufacturing Systems , 1986 .

[29]  Min Jung,et al.  Analysis of field data under two-dimensional warranty , 2007, Reliab. Eng. Syst. Saf..

[30]  Timothy S. Vaughan,et al.  Production , Manufacturing and Logistics Failure replacement and preventive maintenance spare parts ordering policy , 2004 .

[31]  R. Nidhal,et al.  Impact of delivery time on optimal production/delivery/maintenance planning , 2012, 2012 IEEE International Conference on Automation Science and Engineering (CASE).

[32]  Ilya Gertsbakh,et al.  Parallel time scales and two-dimensional manufacturer and individual customer warranties , 1998 .

[33]  Vincent P. Simpson.  Optimum Solution Structure for a Repairable Inventory Problem , 1978, Oper. Res..