System and method for calculation of controlling parameters for a computer based inventory management
First Claim
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1. A method of maintaining an inventory of an item for which a statistical history of individual demands for the item is known, the method comprising the steps of:
- first determining, independently of time and based on the history of individual demands, a probability distribution P(Q) of a quantity of an individual demand that is independent of time, including a mean value E(Q) and a variance Var(Q);
second determining a variance of consumption Var(R) based on the determined P(Q);
third determining at least one of when to place an order and a size of an order for the item, based on the determined variance of consumption Var(R); and
placing an order for the item at the determined time or of the determined size, based on the results of the third determining step.
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Abstract
A system designed for the calculation of control parameters for a computer based inventory management system according to the present invention comprises a computer program based on mathematical probabilities using statistical distribution functions. In the context of the invention a computer based inventory management system comprises an inventory management program system such as TRITON® as supplied by Baan BV, The Netherlands, running on a computer consisting of at least one processor, memory, input and output.
24 Citations
14 Claims
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1. A method of maintaining an inventory of an item for which a statistical history of individual demands for the item is known, the method comprising the steps of:
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first determining, independently of time and based on the history of individual demands, a probability distribution P(Q) of a quantity of an individual demand that is independent of time, including a mean value E(Q) and a variance Var(Q);
second determining a variance of consumption Var(R) based on the determined P(Q);
third determining at least one of when to place an order and a size of an order for the item, based on the determined variance of consumption Var(R); and
placing an order for the item at the determined time or of the determined size, based on the results of the third determining step. - View Dependent Claims (2, 3, 4, 5, 6, 7)
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8. A method of maintaining an inventory of an item for which a statistical history of individual demands for the item is known, the method comprising the steps of:
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first determining, from the history of individual demands and without sampling over time intervals, a probability distribution P(Q) of a quantity of an individual demand;
second determining, from the history of individual demands, a distribution function of time between the individual demands;
third determining a probability distribution of a first time period prior to receipt of an order for the item, the first time period being one of a lead time, a production time of the item, and a reorder period;
fourth determining a variance of consumption based on the determined P(Q), the determined distribution of time between the individual demands, and the determined probability distribution of the first time period;
fifth determining at least one of when to place an order and a size of an order for the item, based on the determined variance of consumption; and
placing an order for the item at the determined time or of the determined size, based on the results of the fifth determining step. - View Dependent Claims (9, 10, 11, 12, 14)
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13. A method of maintaining an inventory of an item for which a statistical history of individual demands for the item is known, the method comprising the steps of:
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first determining, from the history of individual demands, a probability distribution P(Q) of a quantity of an individual demand;
second determining a variance of consumption from the following, Var(R)=A2×
E(L)×
Var(Q)+A3×
E(L)×
E(Q)2+A4×
E(Q)2×
Var(L)where A2, A3, A4 are parameters depending on a distribution function of a time between individual demands, E(L) and Var(L) are the mean value and variance of a first time period before receipt of an order, and E(Q) and Var(Q) are the mean value and variance of the P(Q);
third determining at least one of when to place an order and a size of an order for the item, based on the determined variance of consumption; and
placing an order for the item at the determined time or of the determined size, based on the results of the third determining step.
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Specification