Murari Mitra

Intuitionistic Fuzzy multi-objective Mathematical Programming on Reliability Optimization Model

This paper proposes an intuitionistic fuzzy optimization approach to solve a multi-objective nonlinear programming problem in the context of a reliability application. We have considered a multi-objective reliability optimization problem with reliability and cost as objective functions. Intuitionistic fuzzy optimization approach is used to solve this multi-objective reliability optimization model. It is shown that the proposed intuitionistic fuzzy optimization approach is more efficient than the analogous fuzzy technique. Numerical examples are provided to illustrate our approach.

Characterizing the Exponential Law Under Laplace Order Domination

Interesting characterizations of the exponential distribution have been obtained in classes of life distributions important in reliability theory. The results strengthen some of the analogous conclusions already existing in the literature. AMS (1991) Subject Classification No. Primary 62NOS: Secondaey 90825. 60F99.

Testing Exponentiality Against Laplace Order Dominance

We present a statistical procedure to test that a life distribution belongs to the class of exponential distributions against that it belongs to a class of alternatives based on the Laplace transform. The test has been shown to be consistent and the asymptotic distribution of the test statistic has been obtained. The performance of the test against various classes of alternatives has been studied by means of Monte Carlo simulation. An interesting characterization theorem for exponentials, which motivates our test procedure, has been proved.

Poisson shock models leading to new classes of non-monotonic aging life distributions

Abstract Suppose a device is subjected to a sequence of shocks occurring randomly in time according to a homogeneous Poisson process. In this paper we introduce a class of non-monotonic aging distributions, the so-called New Worse then Better than Used in Failure Rate (NWBUFR) and New Worse then Better than Average Failure Rate (NWBAFR). It is shown under appropriate conditions on the probability of surviving a given number of shocks that the non-monotonic aging classes NWBUFR and NWBAFR arise from suitable Poisson shock models.

On Testing Exponentiality against NBAFR Alternatives

In this article, we propose an interesting approach for testing exponentiality against NBAFR alternatives. A measure of deviation from exponentiality has been derived on the basis of an inequality which we have proved. A test statistic has been constructed using density estimators and its asymptotic normality established. The consistency of the said test is also proved.

An Optimum Ordering Policy and its Estimation in a Two-Supplier Inventory Model with Uncertainties in Supply

We consider a single-item one-period inventory model where the market demand is assumed to be random and the item under consideration is obtained from two suppliers who also supply random amounts with means equal to the order placed to the supplier concerned. Under new better than used in expectation (NBUE) assumption on the supply distributions, possibly different, a strategy which maximizes a minimum profit has been proposed. An estimate for this maximin order quantity whenever the (customer) demand distribution is unknown has been obtained and strong consistency of the suggested estimator established. AMS (2000) Subject Classification: Primary 90B05; Secondary 62G99, 60F15.