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Showing papers by "Manisha Pal published in 2007"


Journal ArticleDOI
TL;DR: In this paper, a number of new exponentiated distributions were studied and the survival function, failure rate and moments of the distributions were derived using certain special functions, and the behavior of the failure rate has also been studied.
Abstract: In this paper we study a number of new exponentiated distributions. The survival function, failure rate and moments of the distributions have been derived using certain special functions. The behavior of the failure rate has also been studied.

34 citations


Journal ArticleDOI
01 Sep 2007-Opsearch
TL;DR: In this paper, a deterministic inventory model is developed for deteriorating items with general rate of deterioration and with stock dependent demand when shortages are observed, conditions of permissible delay in payments are also taken into consideration.
Abstract: In this paper a deterministic inventory model is developed for deteriorating items with general rate of deterioration and with stock dependent demand when shortages are observed. Conditions of permissible delay in payments are also taken into consideration. Numerical examples are cited to illustrate the model.

15 citations


Journal ArticleDOI
TL;DR: In this paper, a single item inventory model for deteriorating items, where the permissible delay in payment depends on the ordered quantity and shortages are partially backlogged, assuming the backlogging rate to be inversely proportional to the waiting time for the next replenishment, is presented.
Abstract: Abstract: In many inventory situations, instead of making immediate payment on receiving the consigument, the purchaser is allowed a certain fixed time period to pay for the goods bought. During this time the supplier charges no interest, but beyond this period interest is charged under the terms and condition agreed upon. As for the purchaser, he can earn interest on the revenue coolected during the credit period. This paper studies a single item inventory model for deteriorating items, when the permissible delay in payment depends on the ordered quantity and shortages are partially backlogged, assuming the backlogging rate to be inversely proportional to the waiting time for the next replenishment. An algorithm has been developed to find the optimal inventory policy. Numerical examples have been cited to illustrate the model. AMS (2000) Subject Classification: 90B05.

5 citations


Journal ArticleDOI
01 Jun 2007-Opsearch
TL;DR: In this paper, the authors considered inventory management of a single commodity for a dynamic risk model when one discount is available during procurement, and derived a theorem subject to the conditions that the cost function is increasing and optimal stock height (or order quantity) is non increasing in procurement cost when other factors are constant.
Abstract: The paper considers inventory management of a single commodity for a dynamic risk model when one discount is available during procurement. The discount can be afforded if a known minimum amount of the product is procured. The orders are to be placed at the beginning of periods with instantaneous replenishment and backlogging is allowed. To find the optimal ordering policy a single period setup has been considered with strictly convex cost function in stock height (or order quantity) for fixed procurement price. Under this setup a theorem has been derived subject to the conditions that the cost function is increasing and optimal stock height (or order quantity) is non increasing in procurement cost when other factors are constant.

3 citations