Method for fast and accurate evaluation of periodic review inven

Data processing: financial – business practice – management – or co – Automated electrical financial or business practice or... – Inventory management

Patent

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

705 8, G06F 1760

Patent

active

061449458

ABSTRACT:
A computer implemented process is provided for fast and accurate evaluation of the performance characteristics of the periodic-review (s,S) inventory policy with complete back ordering. This policy has an underlying stochastic process that is a renewal process. The method provides a novel computer implementation of a fast and accurate way to compute approximations of the renewal function. In order to overcome the computational problems in evaluating renewal functions numerically, an approximation scheme has been devised whereby the renewal function of the truncated normal distribution can be characterized by two parameters: (1) its coefficient of variation, and (2) the point at which the function needs to be evaluated. This approximation is derived in two stages. In the first stage, a class of rational polynomial approximations are developed to the renewal function, called Pade approximants. In the second stage, polynomial expressions are derived for each coefficient of the Pade approximants in terms of the coefficient of variation of the distribution.

REFERENCES:
patent: 5168445 (1992-12-01), Kawashima et al.
patent: 5216594 (1993-06-01), White et al.
patent: 5237496 (1993-08-01), Kagami et al.
patent: 5305199 (1994-04-01), LoBiomdo et al.
patent: 5581461 (1996-12-01), Coll et al.
patent: 5608621 (1997-03-01), Caveney et al.
Hau L. Lee, "Single and Multiple Location Stochastic Inventory Models", Lecture Notes, Department of Industrial Engineering Management, Stanford University.
H. Carlsson, "Remainder Term Estimates of Renewal Function", The Annals of Probability, Nov. 1, 1983, pp. 143-157.
R. Cleroux & D.J. McConalogue, "A Numerical Algorithm for Recursively-Defined Convolution Integrals Involving Distribution Functions", Management Science, 22, 1976, pp. 1138-1146.
D.J. McGonalogue, "Numerical Treatmetn of Convolution Integrals Involving Distributions with Densities Having Singularities at the Origin", Communications in Statistics, Series B 10, 1981, pp. 265-280.
L.A. Baxter et al., "Renewal Tables: Tables of Functions Arising in Renewal Theory", Technical Report, Graduate School of Business Admin., University of Southern California, 1981.
L.A. Baxter et al., "On the Tabulation of the Revewal Function", Technometrics, 24, 1982, pp. 151-156.
W-B Gong et al., "Pade Approximation for Stochastic Discrete-Event Systems", IEEE Transactions on Automatic Control, 40, 8, 1995, pp. 1349-1358.

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

Method for fast and accurate evaluation of periodic review inven does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Method for fast and accurate evaluation of periodic review inven, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Method for fast and accurate evaluation of periodic review inven will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-1651524

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.