This study provides a review of Hypercube Queuing Models (HQMs) in Emergency Service Systems (ESSs). This survey presents a comprehensive review and taxonomy of models, solutions, and applications related to the HQM after Larson [Brandeau, M.L. and Larson, R.C. \Extending and applying the hypercube queueing model to deploy ambulances in Boston", Management Science, 22, pp. 121-153 (1986).] In addition, the structural aspects of HQMs are examined. Important contributions of the existing research are addressed by taking into account multiple factors. In particular, the integration of location decisions with HQMs for designing an ESS is discussed. Finally, a list of issues for future studies is presented.