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Yastrebenetsky, M., Dimitrov, B., Rykov, V., Bochkov, A.
The past year and the beginning of the new year brought a number of sad events, which we would like to inform you about with great regret and pain. Bright scientists in the field of reliability theory, bright representatives of the best schools of the Soviet Union and Russia have passed away. They were wonderful, responsive people, with whom we and many of you were connected not only by professional relations, but also by sincere friendship. The more severe these losses are for our entire community - the Gnedenko Forum. Largely thanks to them, our Forum has gained fame and popularity in the world. All of them were active participants and members of the Editorial Board of our journal. The bright memory of these people will always remain in our hearts. We encourage you to honor their memory by publishing memoirs about them and articles using the ideas of these scientists in the upcoming issues of the journal "Reliability: Theory and Applications". We express our sincere condolences to family, relatives, friends and colleagues, to all who knew these outstanding persons.
Agasi Melikov
...I was lucky enough to be a student of Vladimir Semyonovich Korolyuk. I joined him in graduate school in the early 80-ies of the last century from a branch Institute with a ready-made task dedicated to the application of Queuing theory methods in oil products supply systems. At that time, I knew Vladimir Semyonovich in absentia as a world-class specialist in the field of probability theory and mathematical statistics. Therefore, I was afraid that it is unlikely that he will take the lead on this task of an applied nature.
Arun Vaishnav, Pinky Bairagee COMPUTER SYSTEM: A RELIABLE MACHINE
Reliability is an essential characteristic of computer machine. Computer system have reliability that why it is used in many fields. Artificial Intelligent and Machine Learning is wide branch in which number of applications has been developed and used in real world scenario. This paper highlights the computer system reliability in various fields where different applications have employed with better accuracy and reliable results. This paper also impact of computer system in branches that is computer science, physics, chemistry, and engineering etc.
DOI: https://doi.org/10.24411/1932-2321-2020-12001
Belyaev, Y.K., Hajiyev, A.H. MATHEMATICAL MODELS OF SYSTEMS WITH SEVERAL LIFTS AND VARIOUS CONTROL RULES
In the present paper, several mathematical models of lifts’ systems with various control rules are constructed and simulated data are used for estimating the various parameters of the systems. For systems with a rare input flow of customers, the graphs, describing the positions of the lifts, at the preceding customer’s arrival instant, are given. These graphs help analytically find, the various characteristics of the lifts’ systems (a customer’s average waiting time, a customer’s total time, energy expenses and others). There are introduced the various control rules by the lift systems, which are investigated by simulation. Using Wolfram Mathematica, the authors have prepared several programs for simulating and estimating the various operational parameters of the lifts’ systems with different control rules. Using these programs, the numerical estimates of the various parameters the considered lifts’ systems, have been found. These data can be used for defining the dependence of optimal lift roominess on an intensity of input customers’ flow and finding the optimal number of the lifts, during planning and construction of the buildings and skyscrapers.
DOI: https://doi.org/10.24411/1932-2321-2020-12002
Jismi Mathew RELIABILITY TEST PLAN FOR THE MARSHALL OLKIN LENGTH BIASED LOMAX DISTRIBUTION
In this article, a generalization of the length biased Lomax distribution called the Marshall Olkin length biased Lomax distribution is introduced. A few statistical and reliability properties of the new distribution is discussed. The parameters of the introduced model are estimated by the method of maximum likelihood estimation. The suitability of the model is verified empirically by applying a real life data set. Also, establish a reliability test plan for acceptance or rejection of a lot of products submitted for inspection with lifetimes directed by this distribution.
DOI: https://doi.org/10.24411/1932-2321-2020-12003
Farhadzadeh, E.M., Muradaliyev, A.Z., Tagiyeva, D.E. OPERATIVE BENCHMARKING SAME TYPE TECHNICAL OBJECTS
Objects, with the same identical varieties of attributes belong to the same-type. One of the main tasks of benchmarking is objective comparison and ranging of work efficiency. In modern representation, work efficiency is the integrated property consisting of profitability, reliability and safety. In general, the work efficiency is characterized by tens technical and economic indicators. For new objects reliability and safety of work guaranteed at relevant rules and guidelines. And the work efficiency is characterized by one of economic parameters. For example, on thermal power stations this is the specific consumption of equivalent fuel. If the of service life of the main equipment exceeds of normative value, the guaranteed term of compliance of the reliability and safety with the requirements is completed. Comparison and ranging of the same technical objects in these conditions without change of methodology leads to increase in risk of erroneous decisions and occurrence of system failures with inadmissible consequences. Decrease in risk of the erroneous decision reached by transition to calculation of an integrated parameter of work efficiency. At the same time, it turns out to be necessary to overcome the numerous difficulties caused by distinction of dimensions and scale of individual parameters, presence of interrelation and differences in the direction of change, multidimensionality and small number of realizations, bulkiness and laboriousness. An indispensable condition is the development of the automated systems of information and methodical support of the personnel and the Management of objects.
DOI: https://doi.org/10.24411/1932-2321-2020-12004
Kamlesh Kumar Shukla THE POISSON-SHUKLA DISTRIBUTION AND ITS APPLICATIONS
In this paper, a study on Poisson-Shukla distribution (PSD), a Poisson mixture of Shukla distribution introduced by Shukla and Shanker (2019), has been carried out. The expression forth factorial moment about origin has been derived. The expressions for its mean and variance have been given. Maximum likelihood estimation for estimating the parameters have been discussed. The goodness of fit of the proposed distribution has been explained with two count datasets and its fit was found quite satisfactory over Poisson distribution (PD), Poisson-Lindley distribution (PLD), Poisson-weighted Lindley distribution (P-WLD), Generalized Poisson Lindley distribution (GPLD) and Negative Binomial distribution (NBD).
DOI: https://doi.org/10.24411/1932-2321-2020-12005
Romney Duffey CRITICAL INFRASTRUCTURE: THE PROBABILITY AND DURATION OF NATIONAL AND REGIONAL POWER OUTAGES
Power generation and distribution systems are part of a nation’s critical infrastructure. Power losses or outages are random with a learning trend of declining size with increasing experience or risk exposure, with the largest outages being rare events of low probability. Data have been collected for power losses and outage duration affecting critical infrastructure for a wide range of events in Belgium, Canada, Eire, France, Sweden, New Zealand and USA. A new correlation has been obtained for the probability of large regional power losses for outage scales up to nearly 50,000 MW(e) for events without additional infrastructure damage that have been generally fully restored in less than 24 hours. For more severe events, including damage due to natural hazards (floods, fire, ice storms, hurricanes etc.), the observed variation in the duration of the outage up to more than 500 hours depends on the degree of difficulty. The irreparable fraction data range (the “tail” of the distribution) indicates that the chance of remaining unrestored is small but finite, even after several hundred hours. Therefore, explicit expressions have been given and validated for both the probability and duration for the full range from “normal” large power loss out to extended outages for rare and more “severe” events with greater access and repair difficulty.
DOI: https://doi.org/10.24411/1932-2321-2020-12006
Sarita Chauhan MCCMOS BASED LOW POWER AND HIGH SPEED 32 X 32 BIT NIKHILUM MULTIPLIER
Leakage power is the significant component of total power dissipation in nano-scale devices. Leakage power is inversely proportional of channel length. So as the device dimensions are reduced, to incorporate more no of devices, for more function to be performed, subthreshold leakage current & hence leakage power will increases. To reduce the leakage power, channel length has to be increased. So we use non-minimum length transistors to reduce the leakage current thus power. This technique is called Multiple Channel CMOS (McCMOS). Vedic mathematics is the branch of mathematics which depends upon 16 sutra and 13 up-sutra, given between 1911 and 1918 by Sri Bharati Krisna Tirthaji (1884-1960). In this paper we had used McCMOS technique as well as ancient Vedic technique Nikhilum Sutra to reduce the power dissipation and increase the speed of the multiplier. The designed 32 x 32 bit multiplier dissipates a power of 0.556 mW and a propagation delay of 27.82 nsec. 60510 transistors were used in this design. These results are improvements over power dissipations and delays reported in literature for Vedic and Booth Multiplier.
DOI: https://doi.org/10.24411/1932-2321-2020-12007
Adil H. Khan, T .R. Jan
In this paper Stress –Strength reliability is studied where various cases have been considered for stress (Y) and strength (X) variables viz., the strength follows finite mixture of M-Transformed Exponential distributions and stress follows exponential, Lindley and M-Transformed Exponential distributions. The reliability of a system and the parameters are obtained by the method of maximum likelihood method. At the end results are illustrated with the help of numerical evaluations and real life data.
DOI: https://doi.org/10.24411/1932-2321-2020-12008
Ayyappan, G., Thilagavathy, K.
We have analyzed a single server queuing model in which the arrival of customers according to the Markovian arrival process, the service process according to phase type distributions and the standby server who is serving at a lower rate also follows the phase type distribution. If any of the customers present in the system when the server completes a vacation who starts the setup process to initiate service to the customers. After service completion, the main server begins the closedown process. The total number of customers are present in the system under the steady-state probability vector has been investigated by using the Matrix-Analytic method. We have examined the stability condition, the analysis of the busy period and derived some important performance measures of our model. Numerical results and graphical representation are discussed for the proposed model.
DOI: https://doi.org/10.24411/1932-2321-2020-12009
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