Abstract
Food safety management is an important issue in human health and social stability. It is prohibitively expensive to monitor all network nodes because of the large scale of food supply networks and the limited monitoring resources. We propose a directed graph-based social network model for design optimization of hazard monitoring network. Following the principles of nodes in social networks, the concepts and calculating methods of k-step observability/controllability and accessible node sets are proposed to measure node accessibility. Based on the above concepts, a 0–1 linear programming model is developed for the selection of the optimal monitoring points. The selected combination of monitoring points can access the whole food supply network with constrained monitoring resources. The model can be solved by using a common commercial software package. We apply the approach to a real local supply network of infant foods to test the validity of the model. A reasonable and satisfactory result is achieved. The numerical analysis of several randomly generated examples with different parameters shows the validity and effectiveness of the recommended approach.
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