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The present study deals with spatially homogeneous and anisotropic Bianchi-Icosmological model representing massive strings. The energy-momentum tensor, asformulated by Letelier (Phys. Rev. D 28: 2414, 1983) has been used to constructmassive string cosmological model for which we assume that the expansion scalarin the model is proportional to one of the components of shear tensor. TheEinstein's field equations have been solved by considering time dependentdeceleration parameter which renders the scale factor $a = (\sinh(\alphat))^{\frac{1}{n}}$, where $\alpha$ and $n$ are constants. It has been detectedthat, for $n > 1$, the presented model has a transition of the universe fromthe early decelerated phase to the recent accelerating phase at present epochwhile for $0 < n \leq 1$, this describes purely accelerating universe which isconsistent with recent astrophysical observations. Moreover, some physical andgeometric properties of the model along with physical acceptability of thesolutions have been also discussed in detail.

Anisotropic Bianchi-I Cosmological Models in String Cosmology with Variable Deceleration Parameter