Humanitarian logistics aim to save lives and alleviate human suffering before and after the onset of a disaster. However, the available resources may not be sufficient to meet the beneficiaries demands. Furthermore, humanitarian supplies are essential items for human survival (such as water and food), and their lack can have a great impact. The cost of deprivation seeks to quantify the suffering caused to disaster victims by the lack of these items. Thus, the main objective of this work is to propose a stock management model that considers the cost of deprivation. To achieve this goal, the research is based on a systematic review of the literature, which covered the cost of deprivation, in order to analyze the state of the art of modeling on the subject. In addition, a case study to validate the proposed model, based on the literature review performed. As an academic contribution, we highlight the development of a stock management model considering the cost of deprivation to assist decision-makers in reducing the suffering of people affected by disasters.