Partial resource pooling in loss systems with two players

International audienceIt is well known that resource sharing or resource pooling can help improve resource utilisation ofindependent entities providing similar for using similar resources. In traditional sharing mechanisms, entities pool either all their resources or do not participate. Binary mechanisms are helpful when the objective is to maximize the system (or overall) utility. However, when each entity is maximizing its own utility, these mechanisms are not always successful at prescribing solutions that are acceptable to all the participating entities.In this paper, we propose two partial sharing models in which both providers improve their individual utilities byfollowing the prescribed sharing strategy. By partial sharing we mean that each provider possibly pools in only a part of itsresources. The providers are modelled as M/M/N/N queues, with different number of servers of each provider., and a provider may pool any number of its servers. Our partial sharing models encompasses the two extreme cases of full pooling and no pooling that appear in traditional mechanisms