A method for solving trade-off among cost for owned/borrowed resource and loss of business chances

This paper proposes a trade-off new problem for resource consumers who join resource-sharing communities to calculate how much resource to be owned from the view point of cost for owing and borrowing resource and loss of business chances. The consumers can borrow resource from the communities when their resource is insufficient. to plan how much resource to be owned and how much resource to be borrowed from the communities. A community model and some resource usage models are assumed to figure out the optimization problem. A cost function is introduced. The function consists of the three kinds of cost/loss for the depreciation time of owned resource. The function value grows when owned resource is too much, and also grows when owned resource is too little. This means that the function value indicates the least point when owned resource is optimal. This paper introduces some assumptions about the character of resource sharing community and the shape of resource usage curve, and shows that the optimization problem can be solved analytically.