System and method for managing a collection of stock replenishment systems
First Claim
1. A method of managing a collection of stock replenishment systems controlling one or more items at one or more stores, said method comprising:
- a. defining a combined in-stock objective for all items in all stores controlled by the collection of stock replenishment systems as a desired fraction of the stock replenishment systems that are in-stock on any given day;
b. defining a meets objective for the percentage of time that the combined in-stock objective is desired to be met across all stores and all items controlled by the collection of stock replenishment systems;
c. determining a common single-store single-item out-of-stock probability employed by each of the collection of stock replenishment systems from the defined combined in-stock objective and the defined meets objective;
d. obtaining point-of-sale data for each store and each item controlled by the collection of stock replenishment systems;
e. determining a multi-day maximal sales for each store and each item on each stock replenishment system on the collection of stock replenishment systems which corresponds to the common single-store single-item out-of-stock probability, wherein the maximal sales are determined by calculating a parameter of a Compound Poisson distribution from the point-of-sale data and using the parameter to determine the maximal sales which correspond to the single store out-of-stock probability and wherein the parameters of the Compound Poisson distribution are an expected number of shoppers per day times a lead time plus one day; and
f. setting the reorder point for each stock replenishment system software program based on the maximal sales.
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Abstract
The present invention provides a method of managing a stock replenishment system in a way that explicitly controls the in-stock rate. Also provided by the present invention is a method of managing a collection of stock replenishment systems in a way that the combined in-stock rate of the collection is controlled to a selected value. In addition, the present invention provides a method to set up a collection of stock replenishment systems in replenishment software systems in an identical fashion while controlling the combined in-stock rate. The methods of the present invention use point-of-sale data to determine packages-per-shopper rates, which are used as one of the inputs to statistical models of multiple-day retail sales.
25 Citations
29 Claims
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1. A method of managing a collection of stock replenishment systems controlling one or more items at one or more stores, said method comprising:
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a. defining a combined in-stock objective for all items in all stores controlled by the collection of stock replenishment systems as a desired fraction of the stock replenishment systems that are in-stock on any given day; b. defining a meets objective for the percentage of time that the combined in-stock objective is desired to be met across all stores and all items controlled by the collection of stock replenishment systems; c. determining a common single-store single-item out-of-stock probability employed by each of the collection of stock replenishment systems from the defined combined in-stock objective and the defined meets objective; d. obtaining point-of-sale data for each store and each item controlled by the collection of stock replenishment systems; e. determining a multi-day maximal sales for each store and each item on each stock replenishment system on the collection of stock replenishment systems which corresponds to the common single-store single-item out-of-stock probability, wherein the maximal sales are determined by calculating a parameter of a Compound Poisson distribution from the point-of-sale data and using the parameter to determine the maximal sales which correspond to the single store out-of-stock probability and wherein the parameters of the Compound Poisson distribution are an expected number of shoppers per day times a lead time plus one day; and f. setting the reorder point for each stock replenishment system software program based on the maximal sales. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14)
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15. A method of managing a collection of stock replenishment systems across two or more products at one or more stores having the same lead-time, said method comprising:
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a. determine which stores and which items at those stores have the same lead-time; b. defining a combined in-stock objective for all items in all stores controlled by the collection of stock replenishment systems as a desired fraction of the stock replenishment systems that are in-stock on any given day; c. defining a meets objective for the percentage of time that the combined in-stock objective is desired to be met across all stores and all items controlled by the collection of stock replenishment systems; d. determining a single-store out-of-stock probability across the collection of stock replenishment systems from the defined combined in-stock objective and the defined meets objective; e. determining a range of average number of packages per shopper that are similar and selecting a highest average number of packages per shopper; f. estimating parameters of a Negative Binomial distribution for an item with the highest average number of packages per shopper; g. approximating the reorder point as a linear function based on the parameters of the Negative Binomial distribution, wherein the linear function is a slope times expected daily sales plus a safety stock, wherein the safety stock is set as an intercept of the linear function with the axis where the expected daily sales is equal to zero; and h. setting the collection of stock replenishment software programs which have the same lead-time to calculate the reorder point as a slope times the expected daily sales plus the intercept point. - View Dependent Claims (16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29)
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Specification