Inventory control: fully resource usage in production cycle

The paper considers the model of controlling optional resource with limited lifetime which should be completely used for the production cycle. The demand for the resource is of random character: the demand flow is Poisson with an intensity that is inversely related to the enterprise's additional profit, the purchases are i.i.d. random variables. The authors use a diffusion approximation to the system. The mean, the variance and the correlation function of the inventory level process are found. The optimization of the average additional profit is carried out in a case of linear dependence of the intensity of the profit; the optimal initial inventory level is also found

Inventory control: fully resource usage in production cycle

The paper considers the model of controlling optional resource with limited lifetime which should be completely used for the production cycle. The demand for the resource is of random character: the demand flow is Poisson with an intensity that is inversely related to the enterprise's additional profit, the purchases are i.i.d. random variables. The authors use a diffusion approximation to the system. The mean, the variance and the correlation function of the inventory level process are found. The optimization of the average additional profit is carried out in a case of linear dependence of the intensity of the profit; the optimal initial inventory level is also found