Joint ordering interval value variable weight Shapley value cost apportionment method

Abstract

The invention relates to a joint order interval value variable weight Shapley value cost allocation method. Establish an EOQ model that allows out-of-stock sellers to order jointly with demand as an interval value; with the goal of minimizing the average inventory cost per unit time, use continuous orderly weighted aggregate calculations to determine the order cycle and interval value of the ordering alliance of sellers Based on the inventory cost and the interval value order quantity of each member enterprise in the alliance, the corresponding interval value inventory cost allocation cooperative game model is constructed to determine the variable weight of the alliance and players in the game, and then determine the synthetic variable weight to create an interval value inventory Shapley value allocation method of interval value variable weight in cost allocation cooperative game. The cost apportionment plan obtained by the present invention by using the interval value variable weight Shapley value satisfies the effectiveness, and can apportion the cost generated by the largest alliance. Moreover, for the same player, the more the order quantity, the more the average cost apportioned per unit time becomes. Small.

Description

technical field [0001] The invention relates to a joint order interval value variable weight Shapley value cost allocation method. Background technique [0002] In order to solve the problem of how to minimize the average cost per unit time and how to determine the ordering strategy, Harris [1] The Economic Order Quantity (EOQ) model is proposed, which studies the ordering strategy and the minimum unit time average cost of a single enterprise that does not allow out-of-stock and the demand speed is constant. The model has received extensive attention from researchers since it was proposed [2] , the classic EOQ model assumes that demand is continuous and deterministic, while Maddah and Noueihed [3] The EOQ model in which demand is stochastic is studied. Luo Bing and others [4] The EOQ model of specials is studied. Yang Shanlin and others [5] The EOQ model of spoiled goods is studied under the hypothetical conditions of allowing out-of-stock, random replenishment time an...

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Problems solved by technology

[0005] At present, most of the research on joint order inventory cost allocation is carried out under the assumption that the demand is a real number. However, in many practical situations, it is difficult to obtain an accurate demand, so it is not reasonable to express the demand with a real number. The membership function of fuzzy numbers and the probability distribution function of random variables are often not easy to determine, but the upper and lower bounds of demand can be predicted through past experience data, that is to say, demand can be expressed by interval numbers

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