Here, we study the logistic delay differential equation with two different delays. First of all, we disscuse the local stability and Hopf bifurcation conditons. The method of steps is used to get a discretized analogue of the original system. Local stability and bifurcation analysis of the discretized system is investigated. Finally, we carry out some numerical simulations such as bifurcation diagram, Lyapunov exponent and phase portraits to verify the theoretical results and to illustrate complex dynamics of the considered system.

We develop a generalized distribution, namely, exponentiated half logistic log-logistic Weibull distribution. Several structural properties of the distribution including expansion of density, distribution of order statistics, Ré, nyi entropy, moments, probability weighted moments, quantile function, generating function, and maximum likelihood estimates were derived. A simulation study to examine the consistency of the maximum likelihood estimates was conducted. Finally, real data examples are presented to illustrate the applicability and usefulness of the proposed model.

This article discusses about researches on logistics efficiency. It deliberates knowledge on researches with logistics efficiency as topics that might be useful for future studies. Literature review is employed as the method. It was used systematically on 32 articles that discussed about logistics efficiency derived from three journal databases. Based on previous researches, they could be grouped into five main topics, which are logistics efficiency on product and measurement; framework, model and approach of logistics efficiency; logistics efficiency and supply chain; logistics efficiency in the perspective of customer and macroeconomics; logistics efficiency and environment. From all reviewed researches, studies on framework, model and the approach of logistics efficiency are considered as the most often topics being discussed and from all discussed researches of all categories, future potential studies are also suggested.

In many industrial and non-industrial applications the quality of a process or product is characterized by a relationship between a response variable and one or more explanatory variables. This relationship is referred to as profile. In the past decade, profile monitoring has been extensively studied under the normal response variable, but it has paid a little attention to the profile with the non-normal response variable. In this paper, the focus is especially on the binary response followed by the bernoulli distribution due to its application in many fields of science and engineering. Some methods have been suggested to monitor such profiles in phase I, the modeling phase, however, no method has been proposed for monitoring them in phase II, the detecting phase. In this paper, two methods are proposed for phase II logistic profile monitoring. The first method is a combination of two exponentially weighted moving average (EWMA) control charts for mean and variance monitoring of the residuals defined in logistic regression models and the second method is a multivariate T2 chart to monitor model parameters. The simulation study is done to investigate the performance of the methods.