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1

The median solution of the newsvendor problem and some observations

Sinha P.

Management and Production Engineering Review

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2015

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Vol. 6, No. 3

55--60

EN

We consider the median solution of the Newsvendor Problem. Some properties of such a solution are shown through a theoretical analysis and a numerical experiment. Sometimes, though not often, median solution may be better than solutions maximizing expected profit, or maximizing minimum possible, over distribution with the same average and standard deviation, expected profit, according to some criteria. We discuss the practical suitability of the objective function set and the solution derived, for the Newsvendor Problem, and other such random optimization problems.

2

Dynamical downscaling approach for wintertime seasonal-scale simulation over the Western Himalayas

Tiwari P., Kar S., Mohanty U., Dey S., Sinha P., Raju P., Shekhar M.

Acta Geophysica

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2014

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Vol. 62, no. 4

930--952

EN

The performance of RegCM4 for seasonal-scale simulation of winter circulation and associated precipitation over the Western Himalayas (WH) is examined. The model simulates the circulation features and precipitation in three distinct precipitation years reasonably well. It is found that the RMSE decreases and correlation coefficient increases in the precipitation simulations with the increase of model horizontal resolutions. The ETS and POD for the simulated precipitation also indicate that the performance of model is better at 30 km resolution than at 60 and 90 km resolutions. This improvement comes due to better representation of orography in the high-resolution model in which sharp orography gradient in the domain plays an important role in wintertime precipitation processes. A comparison of model-simulated precipitation with observed precipitation at 17 station locations has been carried out. Overall, the results suggest that 30 km model produced better skill in simulating the precipitation over the WH and this model is a useful tool for further regional downscaling studies.

3

Solving some deterministic finite horizon inventory models

Sinha P.

Operations Research and Decisions

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2013

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Vol. 23, No. 1

63--74

EN

Two single-item, deterministic, continuous, finite horizon inventory models having no shortage have been considered. A demand rate function, which is relatively general, for the item has been assumed. In the first model, units of the item do not deteriorate; while in the second units deteriorate in a constant fraction rate. Some optimality conditions are shown for the models. Based on these properties, single variable search methods have been described to obtain globally optimal solutions. Numerical experiments indicate that the methods yield acceptable solutions within small time and are suitable for practical applications.