We use Bayesian methods to fit a lognormal mixture model with two components to right censored survival data to estimate the survivor function.This is done using a simulation-based Bayesian framework employing a prior distribution of the Dirichlet process.The study provides an MCMC computational algorithm to obtaining the posterior distribution of a Dirichlet process mixture model (DPMM).In particular, Gibbs sampling through use of the WinBUGS package is used to generate random samples from the complex posterior distribution through direct successive simulations from the component conditional distributions.With these samples, a Dirichlet process mixture model with a lognormal kernel (DPLNMM) in the presence of censoring is implemented.

In this paper we have calculated the electromagnetic field components in a skew uniform magnetic fields superimposed on Kerr Newman back ground geometry. The rotation axis of the Kerr Newman black hole makes an angle with the asymptotic magnetic field. We have compared the result with those of the corresponding Kerr black hole.

Using the Hlder inequality, we establish several Lyapunov-type inequalities for quasilinear q-difference equation and q-difference systems.

Recent approach of Neural Network can be employed to solve a wide spectrum of problem in optimization. This paper deals with reliability, non-reliability and cost analysis of a traffic signal system. As all knows, traffic system consists of three lights; red, green and yellow. The red and green signal lights pre-empt in repair over yellow signal light. A multilayered neural network model is introduced in order to optimize the maintenance of the traffic signal system. The system can be fail due to hardware failure with human errors and various environmental conditions. All types of failures, repairs and waiting rates are exponential. System state probabilities and other parameters are developed for the proposed model using neural network approach. At the last, numerical examples are included to illustrate the results.

The receiver operating characteristic (ROC) curve is a graphical representation of the relationship between false positive and true positive rates.It is a widely used statistical tool for describing the accuracy of a diagnostic test and applied in measuring discriminatory ability of diagnostic or prognostic tests.This makes ROC analysis one of the most actively research areas in medical statistics.In this research we used ROC analysis in radiological tests as a method for distinction between the two types of kidney stones (radio opaque and radio lucent) .The sample of this research was 183 patients (119male and 64 female) their ages between 18-80 having kidney stones its size more than or equal (10mm).This research done between September 2014 to August 2016 in Al-Emammain Al-Kadhymain medical city, Baghdad, Iraq.In all patients X-Ray of Kidney,Uretare,bladder(KUB) done after preparation and then non contrast Computed Tomography(CT) was performed to all patients.two parameters were studied which are appearance of stone on KUB and Hounsfield unit for each stone was measured in Computed Tomography (CT).We classified the stones according to their appearance on KUB to Radio-Opaque stone (128 stones) and Radio-Lucent stone (55 stones) .By statistical analysis we found that the cut-off value of HU was 543 with sensitivity 97.7% and specificity 92.7% .Findcutoff value of Hounsfield unit(HU) is of value in the classification ofkidney stoneaccording their appearance.

This study presents a graph theoretical approach to identify the traffic congestion on a road network.Problem address on a city called Kiribathgoda situated in the western province of Sri Lanka.In the analysis of social networks, centrality measures played a vital role to identify the central nodes in a given network.We look at the applicability of centrality and betweenness measures in order to identify the most important locations which directly affect to the traffic congestion in road networks in Sri Lanka.Using the graph theoretical approach a traffic network for a selected area was constructed and several centrality measures were calculated.According to our simulation results, it was noted that the practically identified locations could be identified from the simulations carried out using the centrality measures.

The public transit system are essential services to the sustainability and livability of any city. Transit agencies are consistently trying to improve service reliability and attract passengers by applying various strategies. In this paper, we present an approach to mining the temporal behavior of the passengers in a public transportation system, which may help the transport operators to know the demand of the passengers, which may be helpful in redesigning the existing transport system. In our model, the choices between alternatives are based on the factors like cheaper cost, lesser travel time, time convenience, safety, age of the passenger, income of the passenger, work flexibility, working start and end times. The modes of transport under study are Government bus, Private Bus, Mini Bus, taxi and train. Using soft set theoretic approach we arrived at an result about the public's choice in choosing a transport system.

The distribution of homogeneous goods in classical transportation problem is based on only per unit transportation cost. Usually, the decision of transporting homogeneous goods is not only based on transportation cost but also depends on many factors such as order size, total shipment-cost, profit, distance, man-power, etc. These factors are treated as inputs and outputs variables for each shipment link. Hence, the transportation problem with multiple inputs and outputs per shipment link is considered as Extended Transportation Problem. In the transportation problem, the distribution depends on the demand and the availability of homogeneous goods. If Demand and Availability of goods are not known to decision maker, the problem is known as Extended Stochastic Transportation Problem (ESTP). In this paper, we assume that the demand and availability are random variables with some known probability distribution. We proposed a method based on data envelopment analysis to decide optimal shipment plan for ESTP. The hypothetical illustration is considered to check the applicability of the proposed approach.

The fuzzy set theory has been applied in many fields such as management, engineering, theory of matrices and so on. in this paper, some elementary operations on proposed trapezoidal fuzzy numbers (TrFNS) are defined. We also have been defined some operations on trapezoidal fuzzy matrices (TrFMs). The notion of Hessenberg fuzzy matrices are introduced and discussed. Some of their relevant properties have also been verified.