A survey of preventive maintenance models for stochastically deteriorating single‐unit systems

Naval Research Logistics (NRL)

Volumn 36, Issue 4, 1989, Pages 419-446

  Valdez‐Flores, Ciriaco ^a   Feldman, Richard M ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INSPECTION--OPTIMIZATION; OPTIMIZATION--MATHEMATICAL MODELS;

MINIMAL REPAIRS MODELS; PREVENTIVE MAINTENANCE; REPLACEMENT MODELS; SINGLE-UNIT SYSTEMS; STOCHASTIC DETERIORATION;

MAINTENANCE;

EID: 0024718118     PISSN: 0894069X     EISSN: 15206750     Source Type: Journal    
DOI: 10.1002/1520-6750(198908)36:4<419::AID-NAV3220360407>3.0.CO;2-5     Document Type: Article

References (129)

1. An Imperfect Maintenance Model with Block Replacements
2. Inspection and Maintenance Policies of Devices Subject to Deterioration
3. Life Distribution Properties of Devices Subject to a Lévy Wear Process
4. Life Distribution Properties of Devices Subject to a Pure Jump Damage Process
5. Optimum Replacement of Systems Subject to Shocks
6. Optimal Replacement of Damaged Devices
7. Structured Results for Partially Observable Markov Decision Processes
8. An Assymptotically Optical Inspection Policy
9. Monotone Optimal Preventive Maintenance Policies for Stochastically Failing Equipment
10. Optimal Inspections in a Stochastic Control Problem with Costly Observations
11. Optimal Inspections in a Stochastic Control Problem with Costly Observations, II
12. Age Replaceemtn Under Alternative Cost Criteria
13. A Counting Process Approach to Replacement Models
14. Determination/Estimation of an Optimal Replacement Interval under Minimal Repair
15. Optimal Replacement Under a Minimal Repair Strategy—A General Failure Model
16. Optimal Replacement Times—A General Set‐Up
17. Optimal Replacement in a Shock Model: Discrete Time
18. Optimum Preventive Maintenance Policies
19. Optimum Checking Procedures
20. Minimax Inspection Strategies for Single Unit Systems
21. A Preventive Replacement Policy for Units Subject to Intermittent Demand
22. A Proof of Optimality for Age Replacement Policies
23. A Modified Block Replacement Policy
24. A Note on a Modified Block Replacement Policy for Units with Increasing Marginal Running Cost
25. Comparison of Age, Block, and Failure Replacement Policies
26. On the Decision to Replace a Unit Early or Late—A Graphical Solution
27. On the Optimality of Stationary Replacement Strategies
28. Optimal Replacement Under a General Failure Model
29. A Graphical Method Applicable to Age Replacement Problems
30. TTT Transforms and Age Replacements with Discounted Costs
31. Periodic Replacement when Minimal Repair Costs Vary with Time
32. Optimum Replacement of a System Subject to Shocks
33. Periodic Replacement with Increasing Minimal Repair Costs at Failure
34. A Hazardous‐Inspection Model
35. Preventive Maintenance and Replacement Under Additive Damage
36. Assessment of Hazardous‐Inspection Policies
37. An Operational Research Approach to Planned Maintenance: Modelling P. M. for Vehicle Fleet
38. Delay Time Models of Industrial Inspection Maintenance Problems
39. The Age Replacement problem with Minimal repair Costs
40. A General Markov Decision Method I: Model and Techniques
41. A General Markov Decision Method II: Applications
42. On the use of Replacements to Extend System Life
43. Optimal Issuing Policies for Non‐Identical Units with Stochastic Lifetimes
44. Optimal Replacement for Systems Governed by Markov Additive Shock Processes
45. Optimal Replacement with Semi‐Markov Shock Models
46. Optimal Replacement with Semi‐Markov Shock Models Using Discounted Costs
47. The Maintenance of Systems Governed by Semi‐Markov Shock Models
48. A State‐Age Dependent Policy for a Shock Process
49. Sufficient Optimality Conditions for Control‐Limit Policy in a Semi‐Markov Model
50. Optimal Replacement for Shock Models with General Failure Rate
51. Optimal Replacement for Self‐Repairing Shock Models with General Failure Rate
52. Average Optimal Policies in Markov Decision Drift Processes with Applications to a Queueing and a Replacement Model
53. Inspection Policies for Deteriorating Equipment Characterized by N Quality Levels
54. On Optimal Replacement Policy
55. Optimum Inspection Policies
56. Minimum Cost Replacement Under Markovian Deterioration
57. Comparison of Two Replacement Policies
58. Note: A Remark on Optimality of Control Limit Rules
59. Inspection Policies for a System which is Inoperative During Inspection Periods
60. Maintenance Policies when Deterioration Can Be Observed by Inspection
61. Maintenance Policies for Stochastically Failing Equipment: A Survey
62. Cost Optimization of Some Stochastic Maintenance Policies
63. Optimal Ordering and Replacement for a 1‐Unit System
64. Interval Reliability and Optimum Preventive Maintenance Policy
65. Preventive Replacement of an Intermittently‐Used System
66. Generalized Mathematical Programming for Optimal Replacement in a Semi‐Markov Shock Model
67. A Survey of Partially Observable Markov Decision Processes: Theory, Models, and Algorithms
68. Optimal Stopping in a Partially Observable Binary‐Valued Markov Chain with Costly Perfect Information
69. Comparison Among Certain Inspection Policies
70. An Optimal Decision Rule for Repair vs Replacement
71. A Summary of Discrete Replacement Policies
72. A Summary of Periodic Replacement with Minimal Repair at Failure
73. Combined Replacement Models
74. Generalized Models for Determining Optimal Number of Minimal Repairs before Replacement
75. Imperfect Preventive‐Maintenance
76. Modified Discrete Preventive Maintenance Policies
77. Modified Periodic Replacement with Minimal Repair at Failure
78. On a Replacement Problem of a Cumulative Damage Model
79. Optimum Inspection Policies for a Standby Unit
80. Optimal Policy of Continuous and Discrete Replacement with Minimal Repair at Failure
81. Periodic and Sequential Preventive Maintenance Policies
82. Periodic Inspection Policy with Preventive Maintenance
83. Analysis of a System with Minimal Repair and its Application to Replacement Policy
84. Approximate Calculation of Optimal Inspection Times
85. Optimum Maintenance Policies for a Computer System with Restart
86. Optimal Preventive Maintenance Policies for Repairable Systems
87. Optimal Repair Limit Replacement Policies with Imperfect Repair
88. A General Failure Model: Optimal Replacement with State Dependent Replacement and Failure Costs
89. Optimum Policies for a Standby System with Preventive Maintenance
90. A Note on Age Replacement
91. Bibliography for Reliability and Availability of Stochastic Systems
92. Optimal Number of Minimal Repairs Before Replacement
93. Optimal Policy for Minimal Repair
94. Replacement Policies under Minimal Repair
95. A Survey of Maintenance Models: The Control and Surveillance of Deteriorating Systems
96. Semi‐Markov Shock Models with Additive Damage
97. Optimum Replacement of a System Subject to Shocks: A Mathematical Lemma
98. Markovian Deterioration with Uncertain Information
99. Markovian Deterioration with Uncertain Information—A More General Model
100. Quality Control under Markovian Deterioration
101. Maintenance Policies under Imperfect Information
102. Optimal Replacement of Parts having Observable Correlated Stages of Deterioration
103. A Note on Computing Periodic Inspection Policies
104. Reliabilty Analysis: Optimal Inspection and Maintenance Schedules of Failing Systems
105. Optimal Maintenance Models for Systems Subject to Failure—A Review
106. Dynamically Optimized Replacement with a Markovian Renewal Process
107. Continuous Quality Production and Machine Maintenance
108. Optimal Replacement under Additive Damage and other Failure Models
109. Periodic Replacement with Minimal Repair at Failure and Adjustment Costs
110. Periodic Replacement with Minimal Repair at Failure and General Cost Function
111. An Optimal Ordering Policy for a Spare Unit with Lead Time
112. Optimal Inspection Policies for Standby System
113. Optimal Replacement under Additive Damage in Randomly Varying Environments
114. Optimal Replacement Policy with Unobservable States
115. Optimal Inspection Schedules for Failure Detection in a Model where Tests Hasten Failures
116. Bound on Optimal Cost for a Replacement Problem with Partial Observations
117. Optimal Control‐Limit Strategies for a Partially Observed Replacement Problem
118. Optimal Inspection and Repair of a Production Process Subject to Deterioration
119. Explicit Formula of Optimal Replacement under Additive Shock Processes
120. A Note on the Optimal Replacement Time of Damaged Devices
121. Inspection and Replacement Policies
122. Optimal Maintenance Policy for Stochastically Failing Equipment: A Diffusion Approximation
123. Optimal Replacement Policy for the Case where Damage Process is a One‐Sided Lévy Process
124. Optimal Stopping in a Semi‐Markov Shock Model
125. Replacement Models Under Additive Damage