Abstract
In this paper, an uncertain integrated model for simultaneously locating temporary health centers in the affected areas, allocating affected areas to these centers, and routing to transport their required good is considered. Health centers can be settled in one of the affected areas or in a place out of them; therefore, the proposed model offers the best relief operation policy when it is possible to supply the goods of affected areas (which are customers of goods) directly or under coverage. Due to that the problem is NP-Hard, to solve the problem in large-scale, a meta-heuristic algorithm based on harmony search algorithm is presented and its performance has been compared with basic harmony search algorithm and neighborhood search algorithm in small and large scale test problems. The results show that the proposed harmony search algorithm has a suitable efficiency.
Highlights
In many situations and especially when rural areas are affected in disaster, many villages lose their communication and transportation paths, but since the locations are very close to each other it is possible for a temporary health center to provide services for several places near each other
With regard to NP-Hard nature of the problem, a metaheuristic algorithm based on harmony search algorithm is proposed to solve the problem in large scales and its performance has been compared with basic harmony search algorithm and variable neighborhood search algorithm
In order to supply the relative demand of each customer, at first the low limit of fuzzy number is generated by making use of constant uniform distribution with bounds 3 and 8
Summary
In many situations and especially when rural areas are affected in disaster, many villages lose their communication and transportation paths, but since the locations are very close to each other it is possible for a temporary health center to provide services for several places near each other. A key parameter that plays a significant role in relief efforts during the crisis is time. Saving the time in relief efforts can have a significant effect on reduction of casualties. Since the time of vehicles' arrival to the relief centers is much more important than their return time to the central depot, the open routing is used in the model. Objective function of presented model is to minimize the time to reach the last visited relief center. As the determining of exact demand for basic commodities during disasters is very difficult and in many cases it is impossible, uncertainty of demand has been considered in the suggested model and in order to deal with uncertainty, the fuzzy credibility theory has been applied.
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