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IEEE Transactions on Fuzzy Systems, ISSN 1063-6706, 06/2018, Volume 26, Issue 3, pp. 1757 - 1762
Journal Article
Electronic Communications in Probability, ISSN 1083-589X, 2013, Volume 18, pp. 1 - 13
A uniform key renewal theorem is deduced from the uniform Blackwell's renewal theorem. A uniform LDP (large deviation principle) for renewal-reward processes... 
Renewal-reward | Moderate deviation | Uniform renewal theorem | moderate deviation | renewal-reward | STATISTICS & PROBABILITY | uniform renewal theorem
Journal Article
Applied Mathematical Sciences, ISSN 1312-885X, 2016, Volume 10, Issue 1-4, pp. 23 - 35
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 07/2015, Volume 102, pp. 1 - 7
We consider a renewal-reward process with multivariate rewards. Such a process is constructed from an i.i.d. sequence of time periods, to each of which there... 
Central limit theorem | Renewal-reward process | Multivariate rewards | Renewal process | Covariance time curve | STATISTICS & PROBABILITY
Journal Article
Fuzzy Optimization and Decision Making, ISSN 1568-4539, 2014, Volume 13, Issue 2, pp. 197 - 210
Recently, Zhao et al. (Euro J Oper Res 169:189-201, 2006) discussed a random fuzzy renewal process based on the random fuzzy theory and established Blackwell's... 
Fuzzy variable | Blackwell's theorem | Renewal process | REWARDS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TIMES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Studies | Decision making | Optimization | Fuzzy logic | Theorems | Fuzzy set theory | Fuzzy
Journal Article
Theory of Probability and its Applications, ISSN 0040-585X, 2018, Volume 62, Issue 1, pp. 35 - 54
Journal Article
Information Sciences, ISSN 0020-0255, 05/2010, Volume 180, Issue 9, pp. 1769 - 1777
In this paper, we consider Blackwell's Theorem in which inter-arrival times are characterized as fuzzy variables under t-norm-based fuzzy operations. We first... 
Blackwell's Theorem | Expected value of fuzzy variables | Necessity measure | Fuzzy variable | Renewal process | REWARDS | LARGE NUMBERS | LAW | TIMES | COMPUTER SCIENCE, INFORMATION SYSTEMS | CONVERGENCE
Journal Article
Information Sciences, ISSN 0020-0255, 2009, Volume 179, Issue 23, pp. 4057 - 4069
This paper studies a renewal reward process with fuzzy random interarrival times and rewards under the ⊤ -independence associated with any continuous... 
[formula omitted]-Independence | Renewal reward theorem | Fuzzy random variable | Archimedean t-norm | Renewal process | Independence | LARGE NUMBERS | TIMES | COMPUTER SCIENCE, INFORMATION SYSTEMS | LOGIC | RANDOM-VARIABLES | DEFINITIONS | MODELS | SETS | FRAMEWORK | SYSTEMS | OPTIMIZATION | T-Independence
Journal Article
Journal of Discrete Mathematical Sciences and Cryptography, ISSN 0972-0529, 05/2017, Volume 20, Issue 4, pp. 945 - 956
The paper studies a preventive maintenance system with multiple failures. Assume that the system has two types of failure. One is minor failure that the system... 
Geometric process | Renewal reward theorem | Preventive repair
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 03/2019, Volume 48, Issue 6, pp. 1493 - 1505
This paper proposes a geometric process warranty model. Assume that a combination policy (W, T) is applied after selling a product, so that a free warranty is... 
Warranty | Combination policy | Secondary: 60K05 | Primary: 90B25 | Renewal reward theorem | Average cost rate | Geometric process
Journal Article
Reliability Engineering and System Safety, ISSN 0951-8320, 11/2017, Volume 167, pp. 506 - 516
•The maintenance policy of a parallel system is investigated.•We assume that a failure in the system can only be revealed by inspection.•Inspection times are... 
Renewal-reward | Inspection | Partial information | Replacement | Filtering theorem | Optimization | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | OPTIMAL INSPECTION | PREVENTIVE MAINTENANCE | ENGINEERING, INDUSTRIAL | FAILURE | SYSTEM SUBJECT
Journal Article
Information Sciences, ISSN 0020-0255, 2006, Volume 176, Issue 16, pp. 2386 - 2395
In this paper, we consider a renewal process in which the inter-arrival times and rewards are characterized as fuzzy variables under t-norm-based fuzzy... 
Fuzzy variable | Renewal process | LARGE NUMBERS | LAW | THEOREM | COMPUTER SCIENCE, INFORMATION SYSTEMS | CONVERGENCE | renewal process | fuzzy variable | RANDOM-VARIABLES
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 01/2017, Volume 46, Issue 1, pp. 427 - 437
Journal Article
International Journal of Production Research, ISSN 0020-7543, 09/2014, Volume 52, Issue 18, pp. 5273 - 5285
Machine tools consume a large amount of energy in the production process. Effective reduction of energy consumption of the machine tool will lead to... 
Markov chain | renewal reward theorem | periodic maintenance | machine tool | energy efficiency | INSPECTION | SYSTEM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ENGINEERING, MANUFACTURING | ENGINEERING, INDUSTRIAL | Productivity | Energy consumption | Upgrading | Deterioration | Mathematical models | Machine tools | Maintenance | Energy management
Journal Article
Wireless Communications and Mobile Computing, ISSN 1530-8669, 05/2012, Volume 12, Issue 7, pp. 588 - 597
Most of analysis so far for IEEE 802.11 wireless local area networks (WLANs) focuses on saturated condition. However, it is of practical value to take into... 
unsaturated condition | renewal-reward theorem | fixed-point analysis | THROUGHPUT ANALYSIS | DISTRIBUTED COORDINATION FUNCTION | COMPUTER SCIENCE, INFORMATION SYSTEMS | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Automatica, ISSN 0005-1098, 2006, Volume 42, Issue 8, pp. 1321 - 1330
While risk-sensitive (RS) approaches for designing plans of total productive maintenance are critical in manufacturing systems, there is little in the... 
Renewal reward theorem | Risk sensitive | Maintenance | Markov decision processes | Variance | renewal reward theorem | variance | risk sensitive | PREVENTIVE MAINTENANCE | maintenance | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
International Journal of Operational Research, ISSN 1745-7645, 2018, Volume 33, Issue 2, pp. 256 - 276
Benefiting from a devised imperfect repair model and given a cost structure, this paper addresses the problem of determining an optimal inspection and... 
Inspection | Renewal reward theorem | Maintenance | Integral equations | Imperfect repair model | Life cycle assessment | Life cycle analysis | Probabilistic models | Repair | Preventive maintenance | Optimization
Journal Article
Reliability Engineering and System Safety, ISSN 0951-8320, 2009, Volume 94, Issue 11, pp. 1782 - 1787
In this paper, a deteriorating cold standby repairable system consisting of two dissimilar components and one repairman is studied. For each component, assume... 
Renewal reward theorem | Replacement policy | Convolution | Geometric process | Priority | REDUNDANT SYSTEM | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | OPTIMAL REPLACEMENT POLICY | DETERIORATING-SYSTEM | SHOCK MAINTENANCE MODEL | ENGINEERING, INDUSTRIAL
Journal Article
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