Fig 3. Clustering 25 medical diagnostic laboratories
Fig. 3 shows that the laboratories 22, 24, 25, 1, 2, 3, 5, 7, 11, 13 marked in red are in the first cluster. The laboratory units 21,16,6,10,15 marked in blue are in the second cluster and the laboratories 23,20,18,19,17,12,14,4,8,9 marked in green are in the third cluster.
Given the collaborative mechanism among the members of the laboratory network, an important factor in the continued collaboration of the members in the network is profit sharing based on fair principles among the members. To predict the contribution of each laboratory to the laboratories network, different combinations of coalitions are calculated by two effective factors of the sample size and efficiency, and then, with the help of Shapely’s value, the value of each laboratory is obtained. Finally, the profit of each member is calculated by the average weighted value of each laboratory in the income of the network.
To describe the proposed profit sharing approach in the network, let us consider, for simplicity, a set of three laboratories (labs A, B, and C) that constitute a laboratory network.
Table 3 shows the values of different combinations of coalitions. These coalitions are based on two factors (sample size and performance score) that play a decisive role in predicting the contribution of each lab to the network.
Table3. Coalition values