Joint optimization of redundancy level and spare part inventories

We consider a “k-out-of-N” system with different standby modes. Each of the N components consists of multiple part types. Upon failure, a component can be repaired within a certain time by switching the failed part by a spare, if available. We develop both an exact and a fast approximate analysis to compute the system availability. Next, we jointly optimize the component redundancy level with the inventories of the various spare parts. We find that our approximations are very accurate and suitable for large systems. We apply our model to a case study at a public organization in Qatar, and find that we can improve the availability-to-cost ratio by reducing the redundancy level and increasing the spare part inventories. In general, high redundancy levels appear to be useful only when components are relatively cheap and part replacement times are high.

[1]  Matthieu van der Heijden,et al.  Availability of k-out-of-N systems under block replacement sharing limited spares and repair capacity , 2007 .

[2]  H. Tijms.  A First Course in Stochastic Models , 2003 .

[3]  Craig C. Sherbrooke,et al.  Optimal Inventory Modeling of Systems , 1992 .

[4]  Min Xie,et al.  A game-theoretical approach for optimizing maintenance, spares and service capacity in performance contracting , 2015 .

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

[6]  Wei Xie,et al.  Maximizing system availability through joint decision on component redundancy and spares inventory , 2014, Eur. J. Oper. Res..

[7]  Baris Selçuk,et al.  Joint spare parts inventory and reliability decisions under a service constraint , 2013, J. Oper. Res. Soc..

[8]  Craig C. Sherbrooke,et al.  Optimal Inventory Modeling of Systems: Multi-Echelon Techniques (INTL SERIES IN OPERATIONS RESEARCH & MANAGEMENT SCIENCE) , 1992 .

[9]  Matthieu van der Heijden,et al.  On the interaction between maintenance, spare part inventories and repair capacity for a k , 2006, Eur. J. Oper. Res..

[10]  Andrei Sleptchenko,et al.  Integral inventory control in spare parts networks with capacity restrictions , 2002 .

[11]  David R. Godoy,et al.  Critical spare parts ordering decisions using conditional reliability and stochastic lead time , 2013, Reliab. Eng. Syst. Saf..

[12]  F. Kelly.  Blocking probabilities in large circuit-switched networks , 1986, Advances in Applied Probability.

[13]  Tore Markeset,et al.  Application of reliability models with covariates in spare part prediction and optimization - A case study , 2014, Reliab. Eng. Syst. Saf..

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

[15]  Dragan Banjevic,et al.  Joint optimal inspection and inventory for a k-out-of-n system , 2014, Reliab. Eng. Syst. Saf..

[16]  Dragan Banjevic,et al.  Spare parts provisioning for multiple k-out-of-n:G systems , 2013 .

[17]  Peter Knights,et al.  A decision-making framework to integrate maintenance contract conditions with critical spares management , 2014, Reliab. Eng. Syst. Saf..

[18]  Alan G. Hawkes,et al.  AVAILABILITY OF AN R -OUT-OF-N SYSTEM WITH SPARES AND REPAIRS , 1991 .

[19]  Ana Isabel Barros,et al.  A spare parts model with cold-standby redundancy on system level , 2011, Comput. Oper. Res..

[20]  Antonio Gómez-Corral,et al.  The influence of delivery times on repairable k-out-of-N systems with spares , 2009 .

[21]  Liliane Pintelon,et al.  The Effect of Maintenance Quality on Spare Parts Inventory for a Fleet of Assets , 2013, IEEE Transactions on Reliability.

[22]  Francesco Costantino,et al.  Multi-echelon, multi-indenture spare parts inventory control subject to system availability and budget constraints , 2013, Reliab. Eng. Syst. Saf..

[23]  Fan Zhang,et al.  Optimal maintenance models with minimal repair, periodic overhaul and complete renewal , 1998 .

[24]  van Geert-Jan Geert-Jan Houtum,et al.  System-oriented inventory models for spare parts , 2014 .

[25]  Elsayed A. Elsayed,et al.  Reliability Engineering , 1996 .

[26]  Tongdan Jin,et al.  System availability under redundancy sharing of standby components , 2015, 2015 Annual Reliability and Maintainability Symposium (RAMS).

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

[28]  Qingwei Chen,et al.  Multi-objective reliability redundancy allocation in an interval environment using particle swarm optimization , 2016, Reliab. Eng. Syst. Saf..

[29]  Jeffery K. Cochran,et al.  Computing small-fleet aircraft availabilities including redundancy and spares , 2002, Comput. Oper. Res..

[30]  Patrik Alfredsson,et al.  Modeling emergency supply flexibility in a two-echelon inventory system , 1999 .

[31]  Wenbin Wang,et al.  A prognostics-based spare part ordering and system replacement policy for a deteriorating system subjected to a random lead time , 2015 .

[32]  Matthieu van der Heijden,et al.  On the availability of a k-out-of-N system given limited spares and repair capacity under a condition based maintenance strategy , 2004, Reliab. Eng. Syst. Saf..