Showing papers by "Manisha Pal published in 2015"

Optimum mixture designs in a restricted region

Abstract: In a mixture experiment, the response depends on the proportions of the mixing components. Canonical models of different degrees and also other models have been suggested to represent the mean response. Optimum designs for estimation of the parameters of the models have been investigated by different authors. In most cases, the optimum design includes the vertex points of the simplex as support points of the design, which are not mixture combinations in the true non-trivial sense. In this paper, optimum designs have been obtained when the experimental region is an ellipsoidal subspace of the entire factor space which does not cover the vertex points of the simplex.

Exponentiated Transmuted Modified Weibull Distribution

Abstract: The paper introduces the exponentiated transmuted modified Weibull distribution, which contains a number of distributions as special cases. The properties of the distribution are discussed and explicit expressions for the quantiles, mean deviations and the reliability are derived. The distribution and moments of order statistics are also studied. Estimation of the model parameters by the methods of least squares and maximum likelihood are discussed. Finally, the usefulness of the distribution for modeling data is illustrated using real data.

Some Properties of Gamma Generated Distributions

Abstract: Based on standard probability distributions, new families of univariate distributions have been introduced and their properties studied by many authors. The present paper investigates some general properties of a family of Gamma generated distributions proposed by Zografos and Balakrishnan (2009).

An Inventory Model for Deteriorating Items with Price Dependent Demand and Delay in Payments under Stochastic Inflation Rate

Abstract: The paper studies an inventory model for deteriorating items under permissible delay in payment and stochastic inflation conditions. The deteriorating rate is assumed to be constant and the demand for the item is dependent on its selling price. A periodic review policy has been used over a finite planning period. The inflation rate changes from one periodic cycle to another following some probabilistic law. The optimal policy is determined so as to maximize the total profit over the planning horizon. Numerical examples are cited to illustrate the theoretical results, and a sensitivity analysis is carried out to examine the effect of the model parameters on the optimal policy.

Periodic review inventory policy for non-instantaneous deteriorating items with time dependent deterioration rate

Abstract: The paper studies a periodic review inventory model with no shortages and different demand rates during pre- and post- deterioration periods . Deterioration of units start after a fixed time interval, and the deterioration rate is time dependent. The model determines the optimal reorder interval and the optimal order quantity so as to minimize the total cost per unit length of an inventory cycle. An extension of the model to include price discount has been further considered. Numerical examples are presented to illustrate the model and a sensitivity analysis is also reported.