The organization of modern cloud services is based on theoretical results in logistics, operations research, supply chains, information transmission (transportation) networks, and on the practical achievements of the novel information and communication technologies. As all the inhabitants of the planet become regular users and at the same time creators of such services, the issues of
... [Show full abstract] decentralized decision making are becoming everyday problems. The paper presents the setup for the problem of such solutions by suppliers (providers) of cloud services and suggests a mathematical formulation of the corresponding optimization problem with resource constraints. It is a starting point for further mathematical elaboration of the new everyday problems.