In times of crisis or disasters, such as during a war or in response to a catastrophe, humanitarian assistance and disaster relief are provided. Instead of solving structural issues of global poverty, deprivation, or inequality, humanitarian aid is sent to tackle local areas and repatriate refugees at the rate of sudden incidents, unlike normal aid programs in a region. The goal of this study is to establish a conceptual framework for managing the logistics of humanitarian assistance and disaster relief. A key feature of emergency disaster logistics management is the optimum distribution of emergency services. In the current processes, most of them are single-objective and probable secondary disasters are frequently ignored, which urgently needs to be changed. In this paper, the multi-objective (transportation time and cost) resource scheduling model considering possible secondary disasters is formulated, and the GRG no-linear method is used to solve the problem. The numerical simulation provides proof of its effectiveness and efficiency. Furthermore, the research offers and analyzes how to put into practice an efficient system for humanitarian logistics management to help Bangladeshi people boost their efficiency in relief efforts. Finally, the findings of the experimental scenarios showed that, relative to the current system, the overall results obtained from the analysis were adequate, irrespective of whether secondary disasters unfolded sooner or later. In practical applications with large-scale scenarios, our method and algorithm can always be incorporated.