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Journal of Statistical Computation and Simulation Volume 15, 1982 - Issue 1
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Original Articles

The block replacement problem with minima! repair and random repair costsFootnote

Menachem Berg Department of Statistics, University of Haifa
&
Robert Cleroux Département d'informatique ei de recherche opérationnelle, Université de Montréal
Pages 1-7 | Received 02 Apr 1980, Published online: 20 Mar 2007

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Mohamed Larbi Rebaiaia & Daoud Ait-kadi. (2021) Maintenance policies with minimal repair and replacement on failures: analysis and comparison. International Journal of Production Research 59:23, pages 6995-7017.
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Yen-Luan Chen, Chin-Chih Chang & Dwan-Fang Sheu. (2016) Optimum random and age replacement policies for customer-demand multi-state system reliability under imperfect maintenance. International Journal of Systems Science 47:5, pages 1130-1141.
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Shey-Huei Sheu, Suh-Huey Li & Chin-Chih Chang. (2012) A generalised maintenance policy with age-dependent minimal repair cost for a system subject to shocks under periodic overhaul. International Journal of Systems Science 43:6, pages 1007-1013.
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B C Giri & T Dohi. (2010) Quantifying the risk in age and block replacement policies. Journal of the Operational Research Society 61:7, pages 1151-1158.
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Jhy Ping Jhang . (2005) A study of the optimal use period and number of minimal repairs of a repairable product after the warranty expires. International Journal of Systems Science 36:11, pages 697-704.
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Jhy-Ping Jhang . (2005) The optimal used period of repairable product with leadtime after the warranty expiry. International Journal of Systems Science 36:7, pages 423-431.
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Daoud Aït-Kadi, Mohamed Anouar Jamali & Abdelhakim Artiba. (2003) Optimal Periodic Replacement Strategy Using New and Used Items. Journal of Decision Systems 12:1, pages 67-77.
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Shey-Huei Sheu & Tien-Hsiang Chang. (2002) Generalized sequential preventive maintenance policy of a system subject to shocks. International Journal of Systems Science 33:4, pages 267-276.
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SHEY-HUEI SHEU & JHY-PING JHANG. (1998) Optimal age and block replacement policies for a multi-component system with a shock type failure interaction. International Journal of Systems Science 29:8, pages 805-817.
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SHEY-HUEI SHEU & CHING-TIEN LIOU. (1995) A generalized sequential preventive maintenance policy for repairable systems with general random minimal repair costs. International Journal of Systems Science 26:3, pages 681-690.
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Menachem Berg, Michel Bdenvenu & Robert Cleroux. (1986) Age Replacement Policy With Age-Dependent Minimal Repair. INFOR: Information Systems and Operational Research 24:1, pages 26-32.
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Articles from other publishers (47)

Rebaiaia Mohamed-Larbi & Ait-Kadi Daoud. (2019) An Optimum Comparative Analysis for Minimal Repair and Replacement on Failures. An Optimum Comparative Analysis for Minimal Repair and Replacement on Failures.
Shey-Huei Sheu, Yen-Luan Chen, Chin-Chih Chang & Zhe George Zhang. (2016) A note on a two variable block replacement policy for a system subject to non-homogeneous pure birth shocks. Applied Mathematical Modelling 40:5-6, pages 3703-3712.
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Shey‐Huei Sheu & Yu‐Hung Chien. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Shey-Huei Sheu, Chien-Kuo Sung, Tsung-Shin Hsu & Yan-Chun Chen. (2013) Age replacement policy for a two-unit system subject to non-homogeneous pure birth shocks. Applied Mathematical Modelling 37:10-11, pages 7027-7036.
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Shey-Huei Sheu, Yen-Luan Chen, Chin-Chih Chang & Z. G. Zhang. (2012) A Block Replacement Policy for Systems Subject to Non-homogeneous Pure Birth Shocks. IEEE Transactions on Reliability 61:3, pages 741-748.
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Minjae Park & Hoang Pham. (2012) A Generalized Block Replacement Policy for a $k$-Out-of-$n$ System With Respect to Threshold Number of Failed Components and Risk Costs. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 42:2, pages 453-463.
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Z. Imam, B. Conrard & M. Bayart. (2012) Optimization of Maintenance Actions for a Multi-component Control System and for Planned Mission Duration. IFAC Proceedings Volumes 45:31, pages 228-233.
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Shey-Huei Sheu, Chin-Chih Chang, Zhe George Zhang & Yu-Hung Chien. (2012) A note on replacement policy for a system subject to non-homogeneous pure birth shocks. European Journal of Operational Research 216:2, pages 503-508.
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Minjae Park & Hoang Pham. 2011. Safety and Risk Modeling and Its Applications. Safety and Risk Modeling and Its Applications 101 122 .
James J. Cochran, Louis A. CoxJr.Jr., Pinar Keskinocak, Jeffrey P. Kharoufeh & J. Cole SmithFélix Belzunce & Moshe Shaked. 2011. Wiley Encyclopedia of Operations Research and Management Science. Wiley Encyclopedia of Operations Research and Management Science.
Shey‐Huei Sheu & Yu‐Hung Chien. 2007. Encyclopedia of Statistics in Quality and Reliability. Encyclopedia of Statistics in Quality and Reliability.
A.H. Shirmohammadi, Z.G. Zhang & E. Love. (2007) A Computational Model for Determining the Optimal Preventive Maintenance Policy With Random Breakdowns and Imperfect Repairs. IEEE Transactions on Reliability 56:2, pages 332-339.
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Haijun Li & Moshe Shaked. (2016) Imperfect repair models with preventive maintenance. Journal of Applied Probability 40:04, pages 1043-1059.
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Haijun Li & Moshe Shaked. (2016) Imperfect repair models with preventive maintenance. Journal of Applied Probability 40:4, pages 1043-1059.
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Tadashi Dohi, Naoto Kaio & Shunji Osaki. 2003. Handbook of Reliability Engineering. Handbook of Reliability Engineering 349 366 .
Shey-Huei Sheu & William S. Griffith. (2002) Extended block replacement policy with shock models and used items. European Journal of Operational Research 140:1, pages 50-60.
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Naoto Kaio, Tadashi Dohi & Shunji Osaki. 2002. Stochastic Models in Reliability and Maintenance. Stochastic Models in Reliability and Maintenance 65 87 .
T. Dohi, N. Kaio & S. Osaki. 2000. Maintenance, Modeling and Optimization. Maintenance, Modeling and Optimization 155 183 .
Marlin U. Thomas & Sridevi S. Rao. (1999) Warranty Economic Decision Models: A Summary and Some Suggested Directions for Future Research. Operations Research 47:6, pages 807-820.
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Shey-Huei Sheu. (1999) Extended optimal replacement model for deteriorating systems. European Journal of Operational Research 112:3, pages 503-516.
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A. Dubi. (1998) Analytic approach & Monte Carlo methods for realistic systems analysis. Mathematics and Computers in Simulation 47:2-5, pages 243-269.
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Shey-Huei Sheu. (1998) A generalized age and block replacement of a system subject to shocks. European Journal of Operational Research 108:2, pages 345-362.
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Shey-Huei Sheu & Jhy-Ping Jhang. (1997) A generalized group maintenance policy. European Journal of Operational Research 96:2, pages 232-247.
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Shey-Huei Sheu. (2016) A modified block replacement policy with two variables and general random minimal repair cost. Journal of Applied Probability 33:2, pages 557-572.
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Shey-Huei Sheu. (2016) A modified block replacement policy with two variables and general random minimal repair cost. Journal of Applied Probability 33:02, pages 557-572.
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Menachem P. Berg. 1996. Reliability and Maintenance of Complex Systems. Reliability and Maintenance of Complex Systems 189 205 .
Menachem P. Berg. (1995) The marginal cost analysis and its application to repair and replacement policies. European Journal of Operational Research 82:2, pages 214-224.
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Shey-Huei Sheu. (1994) Extended block replacement policy with used item and general random minimal repair cost. European Journal of Operational Research 79:3, pages 405-416.
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Shey-Huei Sheu & Chung-Ming Kuo. (2011) Optimal age replacement policy of a $k$-out-of-$n$ system with age-dependent minimal repair. RAIRO - Operations Research 28:1, pages 85-96.
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Shey-Huei Sheu & Ching-Tien Liou. (1992) An age replacement policy with minimal repair and general random repair cost. Microelectronics Reliability 32:9, pages 1283-1289.
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Young Ho Chun & Chang Shin Lee. (1992) Optimal replacement policy for a warrantied system with imperfect preventive maintenance operations. Microelectronics Reliability 32:6, pages 839-843.
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Shey-Huei Sheu. (2016) Optimal block replacement policies with multiple choice at failure. Journal of Applied Probability 29:1, pages 129-141.
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Shey-Huei Sheu. (2016) Optimal block replacement policies with multiple choice at failure. Journal of Applied Probability 29:01, pages 129-141.
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Y.H. Chun. (1992) Optimal number of periodic preventive maintenance operations under warranty. Reliability Engineering & System Safety 37:3, pages 223-225.
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Daoud Ait Kadi & Robert Cléroux. (1991) Replacement strategies with mixed corrective actions at failure. Computers & Operations Research 18:2, pages 141-149.
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Shey-Huei Sheu. (1991) Periodic replacement with minimal repair at failure and general random repair cost for a multi-unit system. Microelectronics Reliability 31:5, pages 1019-1025.
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Shey-Huei Sheu. (1991) A general age replacement model with minimal repair and general random repair cost. Microelectronics Reliability 31:5, pages 1009-1017.
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D. Ait Kadi, C. Beaucaire & R. Cléroux. (1990) A periodic maintenance model with used equipment and random minimal repair. Naval Research Logistics 37:6, pages 855-865.
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Shey-Huei Sheu. (1990) Periodic replacement when minimal repair costs depend on the age and the number of minimal repair for a multi-unit system. Microelectronics Reliability 30:3, pages 565-572.
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Shey-Huei Sheu. (1990) Periodic replacement when minimal repair costs depend on the age and the number of minimal repairs for a multi-unit system. Microelectronics Reliability 30:4, pages 713-718.
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Thomas H. Savits. (2016) A cost relationship between age and block replacement policies. Journal of Applied Probability 25:4, pages 789-796.
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Naftali A. Langberg. (2016) Comparisons of replacement policies. Journal of Applied Probability 25:4, pages 780-788.
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Thomas H. Savits. (2016) A cost relationship between age and block replacement policies. Journal of Applied Probability 25:04, pages 789-796.
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Naftali A. Langberg. (2016) Comparisons of replacement policies. Journal of Applied Probability 25:04, pages 780-788.
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H. W. Block, W. S. Borges & T. H. Savits. (2006) A general age replacement model with minimal repair. Naval Research Logistics (NRL) 35:5, pages 365-372.
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Mohamed Abdel‐Hameed. (2006) An imperfect maintenance model with block replacements. Applied Stochastic Models and Data Analysis 3:2, pages 63-72.
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K. Bosch & U. Jensen. (1983) Instandhaltungsmodelle — Eine Übersicht. Operations-Research-Spektrum 5:2, pages 105-118.
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