Application of Markov process/mathematical modelling in analysing communication system reliability

Purpose The purpose of this paper is to analyse the main components of a wireless communication system, e.g. input transducer, transmitter, communication channel and receiver on the basis of their interconnection for evaluating the various reliability measures for the same. Design/methodology/approach Markov process and mathematical modelling is used to formulate a mathematical model of the considered system (on the basis of various failures/repairs). Findings Reliability of the wireless communication system with respect to its components failure is obtained and explained with the graphs. Also, critical components of the system are identified with the aid of sensitivity analysis. At last, mean time to failure with variation in various failures is obtained. Originality/value In the present paper, a mathematical model based on the working of the wireless communication system has been developed. Conclusions in this paper are good references for the improvement in the same.

Download Full-text

Reliability assessment for multi-state automatic ticket vending machine (ATVM) through software and hardware failures

Journal of Quality in Maintenance Engineering ◽

10.1108/jqme-08-2020-0089 ◽

2021 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Amit Kumar ◽

Pardeep Kumar

Keyword(s):

Mathematical Model ◽

Time To Failure ◽

Content Type ◽

Software Failures ◽

Model Based ◽

Software And Hardware ◽

Hardware Failures ◽

Critical Components ◽

Mean Time ◽

Lagrange’S Method

PurposeThis paper presents the performance analysis of the automatic ticket vending machine (ATVM) through the functioning of its different hardware and software failures.Design/methodology/approachFrequent failures in the working of ATVM have been observed; therefore, the authors of the paper intend to analyze the performance measures of the same. Authors have developed a mathematical model based on different hardware and software failures/repairs, which may occur during the operation, with the help of the Markov process. The developed model has been solved for two kinds of failure/repair rates namely variable failures (very much similar to real-time failure) and constant failures. Lagrange's method and Laplace transformation are used for the solution of the developed model.FindingsReliability and mean time to failure of the ATVM are determined. Sensitivity analysis for ATVM is also carried out in the paper. Critical components of the ATVM, which affect the performance of the same, in terms of reliability and MTTF are also identified.Originality/valueA mathematical model based on different hardware and software failures/repairs of ATVM has been developed to analyze its performance, which has not been done in the past.

Download Full-text

Brief Analysis of MIMO Channel and Antenna

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.912-914.952 ◽

2014 ◽

Vol 912-914 ◽

pp. 952-955

Author(s):

Huan Wang ◽

Jian Zhou

Keyword(s):

Mathematical Model ◽

Wireless Communication ◽

Physical Model ◽

Correlation Coefficient ◽

Communication System ◽

Mimo Channel ◽

Mimo Antenna ◽

Wireless Communication System ◽

Channel Characteristics ◽

Antenna Characteristics

MIMO (Multi-input Multi-output) is an abstract mathematical model used to describe the multi-antenna wireless communication system. the transmitter can use a plurality of separate antennas transmit signals simultaneously. This paper first analyzes MIMO physical model, and then the MIMO channel characteristics and capacity for analysis, analysis of MIMO antenna characteristics and finally focus on the correlation coefficient

Download Full-text