## 1 Introduction
### Literature Review  
A smart power distribution system consists of different units such as a smart protection unit [5], a smart energy management unit [6], a demand response aggregator unit [7] and a smart outage management unit [8]. The smart outage management unit is one of the important units in the smart power distribution system. Many papers are published in the field of outage management. In [9], a smart outage management system based on probabilistic and fuzzy membership functions has been provided. In [10], the role of the outage management system in the reliability index of the multi-microgrid system has been investigated. In [11], a hierarchical outage management scheme to enhance the resilience of a smart distribution system comprised of multi-microgrids against unexpected disaster events has been proposed. Several algorithms have been presented providing solutions for outage management problems, including heuristic techniques [12], dynamic programming [13] and multi-agent systems [14]. Recent studies show that the DG and the Micro Grids (MGs) have some potential to increase the flexibility of the outage management systems. The authors in [3] believe that the sectionalizing of the smart power distribution system into the smart MGs is a useful option for increasing the stability of the power system in crisis times. In this paper, DGs have an important role in the proposed outage management system. Although [3] proposes an interesting method for increasing the reliability of the MGs, the EDRPs, as an essential part of the smart microgrid, have been neglected. Demand Response Programs are used to reduce the cost of operation of the smart microgrids. In [15], a Demand Response Program model has been provided for use in energy management. In this paper, the role of Demand Response Programs in the self-healing smart microgrid is addressed. One type of Demand Response Program is the Emergency EDRP that is usually used when the power distribution system faces a natural disaster and outage [16]. In [17], it is shown that the EDRP can reduce the line congestion index in the smart distribution system. This is a valuable effect of the EDRP for times of crisis. In [18], a safe and reliable framework for normal operation and self-healing MGs (with multiple DGs and EDRPs) has been proposed. In this study, two-layer communication between each MG and the common bus is considered. In the initial state, all the MGs are in the normal mode (self-supply). In crisis times, all the MGs are connected to a common bus. This paper investigates the outage management system considering the EDRPs and DGs; however, it has not provided a plan for the crews to repair the outages. Some recent papers propose a framework to integrate repair and restoration in the power system. In [19], a Mixed Integer Linear Programming (MLIP) model is proposed for post-hurricane outage management without routing the crews. In this paper, a three-stage framework is developed such that in the first stage, the outage is modeled to indicate the impact of hurricanes on power system components, and in the second stage, a stochastic pre-hurricane crew mobilization is provided for managing resources before the event; further, in the third stage, a deterministic post-hurricane recovery is presented for managing resources after the event. In [20], the Routing Repair Crew (RRC) problem in the transmission system has been discussed. In this paper, a four-stage model based on constraint injection has been proposed. This approach decouples the power-restoration and vehicle-routing optimizations. Combining the RRC problem with distribution system power flow results in a complex optimization problem. To remedy this, one way is to consider them as two independent problems [21]. However, considering the RRC problem and distribution problem as two independent problems cannot provide an optimal solution because the mentioned problems are not independent of each other. The authors in [8] propose a framework to integrate the RRC problem and restoration problem.