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Some maintenance models and availability withimperfect maintenance in production systems

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  • H. Wang
  • H. Pham

Abstract

Minimal repair and perfect repair, discussed extensively in the reliability and maintenanceliterature, represent two extreme types of repairs. Many repair or maintenanceactivities may not fall into these two extreme cases. A periodic maintenance model in whichboth preventive and corrective maintenance are imperfect, and two other imperfect maintenancemodels are proposed in this paper. Unlike other imperfect maintenance models,imperfect maintenance in this work is mainly treated in a way that successive operatingtimes of a system are independent and decreasing by a fraction and successive maintenancetimes are independent and increasing by a fraction. The limiting expected maintenance costrate and availability are derived and optimum maintenance policies are discussed for thesethree maintenance models. Based on the obtained maintenance cost rate and availability, aclass of optimization problems with nonlinear programming formulations is demonstrated anda numerical example is presented. Copyright Kluwer Academic Publishers 1999

Suggested Citation

  • H. Wang & H. Pham, 1999. "Some maintenance models and availability withimperfect maintenance in production systems," Annals of Operations Research, Springer, vol. 91(0), pages 305-318, January.
  • Handle: RePEc:spr:annopr:v:91:y:1999:i:0:p:305-318:10.1023/a:1018910109348
    DOI: 10.1023/A:1018910109348
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    Cited by:

    1. Marais, Karen B. & Saleh, Joseph H., 2009. "Beyond its cost, the value of maintenance: An analytical framework for capturing its net present value," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 644-657.
    2. Reza Ahmadi, 2014. "Optimal maintenance scheduling for a complex manufacturing system subject to deterioration," Annals of Operations Research, Springer, vol. 217(1), pages 1-29, June.
    3. Rung-Hung Su & Ming-Wei Weng & Yung-Fu Huang, 2020. "Innovative maintenance problem in a two-stage production-inventory system with imperfect processes," Annals of Operations Research, Springer, vol. 287(1), pages 379-401, April.
    4. Amir Hossein Nobil & Amir Hosein Afshar Sedigh & Leopoldo Eduardo Cárdenas-Barrón, 2020. "A multiproduct single machine economic production quantity (EPQ) inventory model with discrete delivery order, joint production policy and budget constraints," Annals of Operations Research, Springer, vol. 286(1), pages 265-301, March.
    5. Ahmadi, Reza & Newby, Martin, 2011. "Maintenance scheduling of a manufacturing system subject to deterioration," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1411-1420.
    6. Chaabane, K. & Khatab, A. & Diallo, C. & Aghezzaf, E.-H. & Venkatadri, U., 2020. "Integrated imperfect multimission selective maintenance and repairpersons assignment problem," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    7. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2018. "Optimizing availability of heterogeneous standby systems exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 137-145.
    8. Lin, Zu-Liang & Huang, Yeu-Shiang & Fang, Chih-Chiang, 2015. "Non-periodic preventive maintenance with reliability thresholds for complex repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 145-156.
    9. Sarang Deo & Seyed Iravani & Tingting Jiang & Karen Smilowitz & Stephen Samuelson, 2013. "Improving Health Outcomes Through Better Capacity Allocation in a Community-Based Chronic Care Model," Operations Research, INFORMS, vol. 61(6), pages 1277-1294, December.
    10. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2018. "Heterogeneous standby systems with shocks-driven preventive replacements," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1189-1197.
    11. Nooshin Salari & Viliam Makis, 2020. "Joint maintenance and just-in-time spare parts provisioning policy for a multi-unit production system," Annals of Operations Research, Springer, vol. 287(1), pages 351-377, April.
    12. Shey-Huei Sheu & Chin-Chih Chang & Yu-Hung Chien, 2011. "Optimal age-replacement time with minimal repair based on cumulative repair-cost limit for a system subject to shocks," Annals of Operations Research, Springer, vol. 186(1), pages 317-329, June.
    13. Faraz Qasim & Doug Hyung Lee & Jongkuk Won & Jin-Kuk Ha & Sang Jin Park, 2021. "Development of Advanced Advisory System for Anomalies (AAA) to Predict and Detect the Abnormal Operation in Fired Heaters for Real Time Process Safety and Optimization," Energies, MDPI, vol. 14(21), pages 1-24, November.

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