Estimating reorder points and other management science applications by bootstrap procedure

Abstract The bootstrap procedure proposed by B. Efron is a resampling method which has nice estimation properties. We believe that the method has many useful applications to areas in OR and management science. In this paper, the bootstrap procedure is the demonstrated in the context of estimating the lead-time demand distribution and reorder points for an inventory control system. Numerical investigation shows that the procedure performs very well in comparison with the exact distribution and with other methods when the daily demands are either independent or autocorrelated. It also compares favorably with the ordinary simulation and has a smaller standard error for estimating the reorder points.

[1]  Herbert Solomon,et al.  Approximations to Density Functions Using Pearson Curves , 1978 .

[2]  Chandrasekhar Das.  Explicit formulas for the order size and reorder point in certain inventory problems , 1976 .

[3]  Uttarayan Bagchi,et al.  MODELING DEMAND DURING LEAD TIME , 1984 .

[4]  B. Efron.  Bootstrap Methods: Another Look at the Jackknife , 1979 .

[5]  J. Ord,et al.  The truncated normal–gamma mixture as a distribution for lead time demand , 1983 .

[6]  John F. Kottas,et al.  A Realistic Approach for Modeling Stochastic Lead Time Distributions , 1979 .

[7]  L. R. Shenton,et al.  Approximate percentage points for Pearson distributions , 1979 .

[8]  W. D. Ray.  The Significance of Correlated Demands and Variable Lead Times for Stock Control Policies , 1980 .

[9]  D. Freedman,et al.  Bootstrapping a Regression Equation: Some Empirical Results , 1984 .

[10]  Edward W. Frees,et al.  Warranty analysis and renewal function estimation , 1986 .

[11]  B. Efron.  Estimating the Error Rate of a Prediction Rule: Improvement on Cross-Validation , 1983 .

[12]  Stergios B. Fotopoulos,et al.  Estimating the lead‐time demand distribution for an autocorrelated demand by the pearson system and a normal approximation , 1989 .

[13]  A. Alan B. Pritsker,et al.  Introduction to simulation and SLAM II , 1979 .

[14]  B. Efron,et al.  A Leisurely Look at the Bootstrap, the Jackknife, and , 1983 .

[15]  B. Efron.  Better Bootstrap Confidence Intervals , 1987 .

[16]  B. Efron.  The jackknife, the bootstrap, and other resampling plans , 1987 .

[17]  B. Efron.  Nonparametric estimates of standard error: The jackknife, the bootstrap and other methods , 1981 .

[18]  W. D. Ray.  Computation of Reorder Levels When the Demands are Correlated and the Lead Time Random , 1981 .

[19]  Chandrasekhar Das.  Some Aids for Lot-Size Inventory Control under Normal Lead Time Demand , 1975 .

[20]  Stergios B. Fotopoulos,et al.  Safety stock determination with correlated demands and arbitrary lead times , 1988 .

[21]  Min-Chiang Wang,et al.  Estimating the lead-time demand distribution when the daily demand is non-normal and autocorrelated Hon-Shiang LAU , 1987 .

[22]  Min-Chiang Wang,et al.  Re-sampling procedures for reducing bias of error rate estimation in multinomial classification , 1986 .