We developed an inventory model for decaying items with selling price dependent demand in inflationary environment. Deterioration rate is taken as two parameter Weibull distribution. Shortages in inventory are allowed with partial backlogging. Backlogging rate is taken as exponential decreasing function of time. Profit maximization technique is used in this study.

There is growing evidence that the standard Weibull strength distribution is not always accurate for the description of variability in tensile strength and its dependence on the gauge size of brittle fibers. In this work, a modified Weibull model by incorporating the diameter variation of bamboo fiber is proposed to investigate the effect of fiber length and diameter on the tensile strength. Fi...

For β = 1 the Weibull distribution coincides with the exponential distribution with mean α. In general, α represents the .632-quantile of the Weibull distribution regardless of the value of β since Fα,β(α) = 1 − exp(−1) ≈ .632 for all β > 0. Figure 1 shows a representative collection of Weibull densities. Note that the spread of the Weibull distributions around α gets smaller as β increases. Th...

Two limestones are studied to compare the fragmentation pattern induced by dynamic loads. A quasi-static characterization allows one to determine the basic mechanical properties and to compare the two rocks in terms of Weibull parameters, indicators of microstructural differences. Edge-on impacts are performed and show the important role of the Weibull modulus in the fragmentation pattern. Simu...

The contrast statistics of natural images can be adequately characterized by a two-parameter Weibull distribution. Here we show how distinct regimes of this Weibull distribution lead to various classes of visual content. These regimes can be determined using model selection techniques from information theory. We experimentally explore the occurrence of the content classes, as related to the glo...

The Weibull distribution has wide applications, particularly in life distribution. There exists a large body of literature on statistical methods based on the Weibull distribution, but most of the methods require numerical integration or Monte Carlo methods to develop the confidence intervals for model parameters. The reason for the large volume of methods revolves around the fact that there is...

In this article, we propose a generalization of the modified inverse Weibull distribution. The generalization are motivated by the recent work of Cordeiro et al. [2] and are based on the Kumaraswamy distribution. The generalized distribution is called the Kumaraswamy modified inverse Weibull(KMIW) distribution. We provide a comprehensive description of the structural properties of the subject d...

Recent third-order likelihood analysis theory is applied to obtain improved confidence intervals for scalar component interest parameters of the Weibull model. This theory involves implicit but appropriate conditioning and marginalization. Both the censored and complete Weibull models are examined where primary interest is focussed on assessing the shape, scale or median parameter. The simulati...

Reliability modelling of RAID storage systems with its various components such as RAID controllers, enclosures, expanders, interconnects and disks is important from a storage system designer's point of view. A model that can express all the failure characteristics of the whole RAID storage system can be used to evaluate design choices, perform cost reliability trade-o s and conduct sensitivity ...