The uniform distribution as a first practical approach to new product inventory management

Abstract It is common sense that the premises usually considered in inventory models have little applicability to new product inventory management. This paper develops a first practical approach to deal with this issue: the solution to the (Q, r) inventory model for uniform demand forecasts and lead-times. Based on the fact that the uniform distribution is defined by two parameters that are easy to estimate—maximum and minimum—this paper shows that such a premise may comprise a helpful and accurate decision support tool for managers until they begin to learn about the distribution characteristics of the demand during the lead-time.

[1]  Ram Ganeshan,et al.  A note on solutions to the inventory model for gamma lead‐time demand , 2000 .

[2]  Ruud H. Teunter,et al.  The distribution-free newsboy problem with resalable returns , 2003 .

[3]  Ananth Raman,et al.  Managing Inventory for Fashion Products , 1999 .

[4]  Tsan-Ming Choi,et al.  Production , Manufacturing and Logistics Quick response policy with Bayesian information updates , 2005 .

[5]  J. Bradford,et al.  A Bayesian Approach to the Two-period Style-goods Inventory Problem with Single Replenishment and Heterogeneous Poisson Demands , 1990 .

[6]  Kal Namit,et al.  Solutions to the inventory model for gamma lead‐time demand , 1999 .

[7]  Tsan-Ming Choi,et al.  Optimal single ordering policy with multiple delivery modes and Bayesian information updates , 2004, Comput. Oper. Res..

[8]  Cliff T. Ragsdale,et al.  Spreadsheet modeling and decision analysis , 1996 .

[9]  T. Choi Pre-season stocking and pricing decisions for fashion retailers with multiple information updating , 2007 .

[10]  Colin D. Lewis Advanced service parts inventory control: Robert Goodell Brown, (Materials Management Systems Inc., Norwich, VT, 1982) $42.50, pp. 436 , 1986 .

[11]  Marshall L. Fisher,et al.  Reducing the Cost of Demand Uncertainty Through Accurate Response to Early Sales , 1996, Oper. Res..

[12]  Ananth V. Iyer,et al.  Improved Fashion Buying with Bayesian Updates , 1997, Oper. Res..

[13]  E. S. Pearson Biometrika tables for statisticians , 1967 .

[14]  J. Miltenburg,et al.  Order quantities for style goods with two order opportunities and Bayesian updating of demand. Part I: no capacity constraints , 2007 .

[15]  Kumar Rajaram,et al.  Optimizing Inventory Replenishment of Retail Fashion Products , 2001, Manuf. Serv. Oper. Manag..

[16]  Marshall L. Fisher,et al.  Estimating Demand Uncertainty Using Judgmental Forecasts , 2007, Manuf. Serv. Oper. Manag..

[17]  Gabriel R. Bitran,et al.  Production Planning of Style Goods with High Setup Costs and Forecast Revisions , 1986, Oper. Res..

[18]  Ananth V. Iyer,et al.  Backup agreements in fashion buying—the value of upstream flexibility , 1997 .

[19]  H Lau TOWARD AN INVENTORY CONTROL SYSTEM UNDER NON-NORMAL DEMAND AND LEAD-TIME UNCERTAINTY , 1989 .

[20]  Ag Ton de Kok,et al.  On the (R,s,Q) inventory model when demand is modelled as a compound Bernoulli process , 1998 .

[21]  Graham K. Rand,et al.  Decision Systems for Inventory Management and Production Planning , 1979 .

[22]  Lawrence Leemis,et al.  Computing the distribution of the product of two continuous random variables , 2004, Comput. Stat. Data Anal..

[23]  David J. Braden,et al.  Informational dynamics of censored observations , 1991 .

[24]  T. M. Whitin,et al.  A Family of Inventory Models , 1961 .

[25]  Hirofumi Matsuo A stochastic sequencing problem for style goods with forecast revisions and hierarchical structure , 1990 .

[26]  E. Silver,et al.  A Bayesian Analysis of the Style Goods Inventory Problem , 1966 .

[27]  Kenneth B. Kahn An exploratory Investigation of new product forecasting practices , 2002 .

[28]  Evan L. Porteus,et al.  Stalking Information: Bayesian Inventory Management with Unobserved Lost Sales , 1999 .

[29]  Manuel Mendoza,et al.  Forecasting an Accumulated Series Based on Partial Accumulation , 2001 .

[30]  Peter S. Fader,et al.  Fast-Track: Article Using Advance Purchase Orders to Forecast New Product Sales , 2002 .

[31]  Søren Glud Johansen,et al.  Optimal and approximate (Q, r) inventory policies with lost sales and gamma-distributed lead time , 1993 .

[32]  Chandrasekhar Das,et al.  Approximate Solution to the Q, r Inventory Model for Gamma Lead Time Demand , 1976 .

[33]  Robert M. Kozelka,et al.  Introductory Probability and Statistical Applications. , 1966 .

[34]  Haim Shore Optimal solutions for stochastic inventory models when the lead-time demand distribution is partially specified , 1999 .

[35]  Michael J. Magazine,et al.  Quantitative Models for Supply Chain Management , 1998 .