Mobile data offloading or Wi-Fi offloading is one such approach to influence the unused bandwidth across different wireless technologies where data flowing through cellular network is transferred. Here the delayed type of offloading is considered for modelling. The traffic in delayed offload would be traffic on per content basis has loose QoS guarantees that’s were individual packets can be delayed but entire packet should reach on time and also truly delay tolerant traffic. These packets can be introduced with an appropriate queuing mechanism such as reneging, balking or a probabilistic method and modelled for analysis of different metrics. In this paper, the performance analysis for delayed type of mobile offloading in access point-based method for the metric of efficiency is modelled and analysed. In order to verify the optimality of proposed model, the packet arrival rate and average delays are estimated through simulation using MATLAB software tool. © Springer Nature Singapore Pte Ltd. 2019.