In this work, static traversable wormholes are investigated in R 2 gravity with logarithmic trace term T , where R denotes the Ricci scalar, and T = −ρ + p r + 2 p t > 0, the trace of the energy momentum tensor. The connection between energy density of the matter component and the Ricci scalar is taken into account. Exact wormhole solutions are determined for three different novel forms of energy density: ρ = α

In this paper we have constructed five dimensional Bianchi type-I cosmological model generated by a cloud of string with particles attached to them in Lyra manifold. Out of the two different cases, we obtained one case leads to the five dimensional vacuum universe in Lyra manifold while the other case yields a string cosmological model in Lyra manifold. Some physical and geometrical properties of the models are briefly discussed

In this paper, we consider the inventory model for perishable items with quadratic trapezoidal type demand rate, that is, the demand rate is a piecewise quadratic function under constant deterioration rate. The model consider allows for shortages and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The result is illustrated with numerical example. Finally, we discuss sensitivity analysis for the model.

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