by Reena and Rajeev Kumar
Original Research
The present paper gives analysis of a stochastic model for a ceramic tile production system considering its five main subsystems viz. Ball Mill, Spray Dryer, Hydraulic Press, Glaze Line and Kiln and a storage system, Silo. It was considered that the failure of Ball Mill and Spray Dryer subsystems depends upon Silo while failure of other subsystems are independent of Silo. Also the storage in Silo is consumed during the repair/replacement of the failed subsystems then the system goes to failure otherwise it is operative. During the occurrence of failure in subsystems Hydraulic Press, Glaze Line and Kiln, leads to the failure in other subsequent subsystem and the repairman first inspects in which redundant unit of the subsystem has a fault and then accordingly repair/replacement is carried out. The system has been analysed using Markov process and regenerative point techniques. Various conclusions for the system regarding its reliability and availability are drawn by plotting several graphs for a particular case.
American Journal of Applied Mathematics and Statistics. 2019, 7(2), 79-85. DOI: 10.12691/ajams-7-2-5
Pub. Date: March 29, 2019
9988 Views1855 Downloads
by Michael Gr. Voskoglou
Original Research
In this paper properties are studied of the differential ideals of a ring R and of the iterated skew polynomial rings over R defined with respect to a finite set of commuting derivations of R. The concept of the integration of R associated to a given derivation of R is also introduced and some funamental properties of it are studied. This new concept generalizes basic features of the indefinite integrals.
American Journal of Applied Mathematics and Statistics. 2019, 7(2), 75-78. DOI: 10.12691/ajams-7-2-4
Pub. Date: February 09, 2019
6717 Views1721 Downloads
by Shyam Sundar, Niranjan Swaroop and Ram Naresh
Original Research
It is well known that the human health is adversely affected by toxic air pollutants such as sulfur dioxide, nitrous oxide etc. present in the atmosphere. The removal of such pollutants from the atmosphere is, therefore, very much desirable. In this paper, a nonlinear mathematical model is proposed to study the population density dependent industrial emission of toxic air pollutants in the atmosphere and their removal by spraying liquid (water droplets) and particulate matter. In the modeling process, five variables are considered, namely; the cumulative concentration of toxic air pollutants, the density of human population affected by the toxic pollutants, the density of industrialization which is population density dependent, the number density of liquid droplets sprayed in the environment and the density of particulate matter sprayed in the environment. It is assumed that the emissions of toxic air pollutants are linearly related to the density of industrialization, the growth rate of which is directly proportional to the density of human population. It is also assumed that the growth rate of externally sprayed species in the environment is directly proportional to the concentration of toxic air pollutants in the environment. The model is analyzed using stability theory of nonlinear differential equations and numerical simulations. The model analysis shows that as the rate of spray of external species in the environment increases, the cumulative concentration of toxic air pollutants decreases. It is also found that as the rate of removal of toxic pollutants increases, the cumulative concentration of toxic air pollutants in the environment decreases. The effect of toxic air pollutants is observed to decrease the density of human population. The numerical simulation confirms analytical results.
American Journal of Applied Mathematics and Statistics. 2019, 7(2), 65-74. DOI: 10.12691/ajams-7-2-3
Pub. Date: February 03, 2019
6264 Views1536 Downloads1 Likes
by B. Geethalakshmi and R. Hemavathy
Original Research
In this paper, we prove a common fixed point theorem for coincidentally commuting non-self mappings for a generalized contraction condition in cone b-metric space.
American Journal of Applied Mathematics and Statistics. 2019, 7(2), 52-58. DOI: 10.12691/ajams-7-2-1
Pub. Date: January 21, 2019
6070 Views1654 Downloads
by Obare DM and Muraya MM
Original Research
The issues associated to highway projects usually affect aspects like nature of the project, cost and time. Risk events that are not usual always give rise to positive or negative feedback and normally cause variations from project designs especially inclined to risk construction projects. However, more investigations have been done on risk management associated to highway projects, there is limited literature more so to the risk of the project. These projects can be overseen under some dubious condition by applying the risk management technique. The aim of this research was to demonstrate pertinence of the Markov Chain approaches in diminishing the risks of the highway projects by utilization of data from the projects. Other Commonly utilized procedures don't investigate potential risks successfully and subsequently the utilization of Markov chains. This project has made utilization of the Markov chain procedure to evaluate the short and long-term potential risks. This research project utilized risk data acquired from experts through questionnaires. The data was then analyzed utilizing the Octave software.
American Journal of Applied Mathematics and Statistics. 2019, 7(2), 59-64. DOI: 10.12691/ajams-7-2-2
Pub. Date: January 23, 2019
6627 Views1388 Downloads1 Likes