Half-life prediction of some neutron-rich exotic nuclei prior to peak A = 130

β -decay is amongst the key properties of nuclei required for the modeling of r-process nucleosynthesis. It also governs the flow of abundances among neighboring isotopic chains of high-mass elements. In the present work, a simple proton-neutron quasi particle random phase approximation (p–n-QRPA) model has been used for the calculation of β -decay half-lives of Rb, Sr, Y and Zr neutron-rich isotopes. For 97−103 Rb, 98−107 Sr, 101−109 Y and 104−112 Zr, where the experimental data were available, the half-life values are reproduced with reasonable accuracy. The same set of model parameters are later used to predict half-lives for few neutron-rich nuclei ( 104−112 Rb, 108−113 Sr, 110−114 Y and 113−115 Zr) where measured data is not available. The p–n-QRPA results (including only allowed transitions) are compared with previous calculations (allowed plus forbidden) and exhibit agreement within a factor of 2.0 when compared with the recent available experimental data.