Due to load growth and customers’ dependency to electrical energy, procurement of this energy has changed to an important challenge over the world. Inadequate investment on power system infrastructure or inappropriate operation, as well as unscheduled outages will increase load shedding probability. Although load shedding is undesired but it is the last resort of operators in extreme conditions. Offering an approach for load shedding allocation to different customers with respect to operation security, customers’ type and behaviors aim to operational cost minimization is an indeed problem. In this research, a procedure for load shedding allocation with respect to the load shedding history of customers is presented. In this research an endurance coefficient is introduced. Each customer defines its own dependency via submitting its endurance coefficient to the power system operator, and based on the proposed method in this research, they get reimbursement according to their announced coefficient, if load shedding happens. Thus, the system operator avoid to shed loads with a high dependency importance to reduce load shedding costs. After the fact, customers’ bills will be calculated based on their endurance coefficient and real time operation situations of the power system. Modeling of customers’ load shedding history and their endurance are the innovations of this research. For validation of the proposed method, different scenarios on IEEE RTS 24-bus test grid is studied and problem is modeled as a MIP problem and solved by GAMS. Numerical results acknowledge the effectiveness of the proposed method. Keywords: Outage cost, Load shedding allocation, Customers’ load shedding history, Customers’ endurance.