A mathematical inventory model with random seasonal demand and unreliable suppliers

The inventory model is constructed on the trade activity base of an agency firm and the search of the optimal path giving the firm a maximum profit at a service level constraint is realized, whereas all the features of its customers, suppliers and the firm market are considered. The given inventory system is a stochastic periodic review inventory control system with a random stationary demand and deliveries depending on a value of the order placed to the corresponding supplier. The represented results of numerical investigation show the optimal path found by means of the proposed model is more efficient than the strategy that has been used by the firm before.

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