Resource allocation models at resource quantity dependence on demand

The paper describes the reverse priority mechanism for a resource allocation problem under the condition when the quantity of resource allocated depends on demand, i.e. on the sum of consumers' requests. A particular case of the problem for two consumers and a general case for more than two consumers with equal and different priorities are discussed. The linear dependence of the quantity of resource allocated on demand is considered for the particular and general cases. It has been obtained that the use of linear dependence is appropriate in the case with two consumers, when a certain predictable strategy of consumer behavior can be found. For the higher number of consumers, it is feasible to use this dependence, when there is a consumer with a significantly higher priority as compared to the others. Otherwise, the consumers' behavior becomes hard to predict. The piecewise-constant dependence of the quantity of resource allocated on demand has been studied for the particular and general cases. The overall conclusion has been obtained and has stated that the consumers' behavior becomes hard to predict, including surges of estimates, when the reverse priority mechanism is used in cases of resource quantity dependence on demand.