On the interaction between maintenance, spare part inventories and repair capacity for a \(k\)-out-of-\(N\) system with wear-out. (English) Zbl 1116.90029
Summary: We consider a \(k\)-out-of-\(N\) system with identical, repairable components under a condition-based maintenance policy. Maintenance consists of replacing all failed and/or aged components. Next, the replaced components have to be repaired. The system availability can be controlled by the maintenance policy, the spare part inventory level, the repair capacity and repair job priority setting. We present two approximate methods to analyse the relation between these control variables and the system availability. Comparison with simulation results shows that we can generate accurate approximations using one of these models, depending on the system size.
MSC:
| 90B25 | Reliability, availability, maintenance, inspection in operations research |
Keywords:
maintenance; spare parts; repair capacity; priority setting; \(k\)-out-of-\(N\) systems; ageingReferences:
| [1] | Adan, I.; Van Eenige, M.; Resing, J., Fitting discrete distributions on the first two moments, Probability in the Engineering and Informational Sciences, 9, 4, 623-632 (1995) · Zbl 1336.60035 |
| [2] | Avsar, Z.; Zijm, W., Capacitated two-echelon inventory models for repairable item systems (2003), Kluwer Academic Publishers · Zbl 1059.90038 |
| [3] | De Kok, A., A moment-iteration method for approximating the waiting time characteristics of the G/G/1 queue, Probability in the Engineering and Informational Sciences, 3, 273-287 (1989) · Zbl 1134.60414 |
| [4] | De Smidt-Destombes, K.; Van der Heijden, M.; Van Harten, A., On the availability of a \(k\)-out-of-\(N\) system given limited spares and repair capacity under a condition based maintenance strategy, Reliability Engineering and System Safety, 83, 3, 287-300 (2004) |
| [5] | De Smidt-Destombes, K., Van der Heijden, M., Van Harten, A., submitted for publication. Spare parts analysis for \(kn\); De Smidt-Destombes, K., Van der Heijden, M., Van Harten, A., submitted for publication. Spare parts analysis for \(kn\) · Zbl 1116.90029 |
| [6] | Díaz, A.; Fu, M., Models for multi-echelon repairable item inventory systems with limited repair capacity, European Journal of Operational Research, 97, 480-492 (1997) · Zbl 0927.90003 |
| [7] | Dinesh Kumar, U.; Crocker, J.; Knezevic, J.; El-Haram, M., Reliability, maintenance and logistic support: A life cycle approach (2000), Kluwer Academic Publishers |
| [8] | Gross, R.; Miller, D.; Soland, R., On common interests among reliability, inventory and queuing, IEEE Transactions on Reliability, 34, 3, 204-208 (1985) · Zbl 0582.90041 |
| [9] | Kabir, A.; Al-Olayan, A., A stocking policy for spare part provisioning under age based preventive replacement, European Journal of Operational Research, 90, 171-181 (1996) · Zbl 0914.90100 |
| [10] | Kennedy, W.; Patterson, J.; Fredendall, L., An overview of recent literature on spare parts inventories, International Journal of Production Economics, 76, 201-215 (2002) |
| [11] | Park, Y.; Park, S., Generalized spare ordering policies with random lead time, European Journal of Operational Research, 23, 320-330 (1986) · Zbl 0581.90031 |
| [12] | Pinedo, M.; Chao, X., Operations scheduling: With applications in manufacturing and services (1999), McGraw-Hill · Zbl 1094.90561 |
| [13] | Rustenburg, W., 2000. A System Approach to Budget-Constrained Spare Parts Management. PhD Thesis, BETA Research Institute.; Rustenburg, W., 2000. A System Approach to Budget-Constrained Spare Parts Management. PhD Thesis, BETA Research Institute. |
| [14] | Sarkar, J.; Sarkar, S., Availability of a periodically inspected system supported by a spare unit under perfect repair or upgrade, Statistics & Probability Letters, 53, 2, 207-217 (2001) · Zbl 0995.90018 |
| [15] | Sleptchenko, A.; Van der Heijden, M.; Van Harten, A., Effects of finite repair capacity in multi-echelon, multi-indenture service part supply systems, International Journal of Production Economics, 79, 209-230 (2002) |
| [16] | Sleptchenko, A.; Van der Heijden, M.; Van Harten, A., Trade-off between inventory and repair capacity in spare part networks, Journal of Operations Resarch Society, 54, 3, 263-272 (2003) · Zbl 1171.90327 |
| [17] | Tijms, H., Stochastic models: An algorithmic approach (1994), John Wiley & Sons · Zbl 0838.60075 |
| [18] | Wang, H., A survey of maintenance policies of deteriorating systems, European Journal of Operational Research, 139, 469-489 (2002) · Zbl 0995.90020 |
| [19] | Zijm, W.; Avsar, Z., Capacitated two-indenture models for repairable item systems, International Journal of Production Economics, 81-82, C, 573-588 (2003) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
