Optimal Diversification in Allocation Problems

Because real choice is an important quality parameter for the retail sector, managers of retailing companies need an instrument to assist them in optimising the diversity of options provided to their customers. In this paper, using the weighted diversity index of Guia u and Guia u), some possibilities to obtain the optimal joint distributions of a probabilistic experiment and the corresponding optimal diversifications to a certain probabilistic system are proposed. These results can be used in ecology, in economy or in problems of allocation or of transportation as an example of diversity management.