The impact of lead time compression on demand forecasting risk and production cost: A newsvendor model

Short lead time reduces the exposure of demand forecasting risk, but an additional production cost is incurred to pay it. To solve this trade-off problem, a model is proposed based on classical newsvendor problem with lead time as a controllable variable. In this model, the demand forecasting process and the production cost structure are assumed as general functions with the amount of compressed lead time, respectively. Our investigation shows that under some circumstances, the trade-off problem can be solved and the proposed model can increase the profitability of enterprise. Finally, some numerical examples are given to illustrate the model.

[1]  R. J. Tersine Principles of inventory and materials management , 1982 .

[2]  Gérard P. Cachon Supply Chain Coordination with Contracts , 2003, Supply Chain Management.

[4]  John E. Tyworth,et al.  Robustness of the normal approximation of lead‐time demand in a distribution setting , 1997 .

[5]  D. Gross,et al.  The Effect of Reducing Leadtime on Inventory Levels-Simulation Analysis , 1969 .

[6]  Alexandre Dolgui,et al.  The MPS parameterization under lead time uncertainty , 2004 .

[7]  Hirokazu Sugiyama,et al.  Improving lead time of pharmaceutical production processes using Monte Carlo simulation , 2014, Comput. Chem. Eng..

[8]  John O. McClain,et al.  Mathematical Programming Approaches to Capacity-Constrained MRP Systems: Review, Formulation and Problem Reduction , 1983 .

[9]  Liang-Yuh Ouyang,et al.  Integrated vendor-buyer cooperative inventory models with controllable lead time and ordering cost reduction , 2006, Eur. J. Oper. Res..

[10]  Stefan Wager,et al.  Valuing Lead Time , 2013 .

[11]  Ming-Feng Yang,et al.  Supply chain integrated inventory model with present value and dependent crashing cost is polynomial , 2010, Math. Comput. Model..

[12]  John J. Kanet,et al.  Toward a better understanding of lead times in MRP systems , 1986 .

[13]  Jafar Heydari,et al.  A study of lead time variation impact on supply chain performance , 2009 .

[14]  Jeff Hoi Yan Yeung,et al.  Supply chain coordination with controllable lead time and asymmetric information , 2012, Eur. J. Oper. Res..

[15]  S. K. Chaharsooghi,et al.  LT variance or LT mean reduction in supply chain management: Which one has a higher impact on SC performance? , 2010 .

[16]  Yeu-Shiang Huang,et al.  A study on lead-time discount coordination for deteriorating products , 2011, Eur. J. Oper. Res..

[17]  Ananth V. Iyer,et al.  Quick Response in Manufacturer-Retailer Channels , 1997 .

[18]  Stephen C. Graves,et al.  TWO-STAGE PRODUCTION PLANNING IN A DYNAMIC ENVIRONMENT , 1985 .

[19]  Warren H. Hausman,et al.  Sequential Decision Problems: A Model to Exploit Existing Forecasters , 1969 .

[20]  Xin James He,et al.  The impact of stochastic lead time reduction on inventory cost under order crossover , 2011, Eur. J. Oper. Res..

[21]  A. Dolgui,et al.  A model for supply planning under lead time uncertainty , 2002 .

[22]  R. Uthayakumar,et al.  Continuous review inventory model with controllable lead time, lost sales rate and order processing cost when the received quantity is uncertain , 2015 .

[23]  Joseph D. Blackburn,et al.  Time-based competition : the next battleground in American manufacturing , 1991 .

[24]  Lenos Trigeorgis,et al.  Optimal Sourcing and Lead-Time Reduction under Evolutionary Demand Risk , 2014 .

[25]  Abdul Raouf,et al.  Inventory Models Involving Lead Time as a Decision Variable , 1994 .

[26]  B. Sarkar,et al.  Quality improvement and backorder price discount under controllable lead time in an inventory model , 2015 .

[27]  Shu-Lu Hsu,et al.  Replenishment and Lead Time Decisions in Manufacturer-Retailer Chains , 2009 .

[28]  C. Liao,et al.  An Analytical Determination of Lead Time with Normal Demand , 1991 .

[29]  Seyyed M. T. Fatemi Ghomi,et al.  Flexible supply chain optimization with controllable lead time and shipping option , 2015, Appl. Soft Comput..

[30]  M. Fisher What is the Right Supply Chain for Your Product , 1997 .

[31]  Wout Dullaert,et al.  The impact of lead time reliability in freight transport: A logistics assessment of transport economics findings , 2013 .

[32]  Jafar Heydari,et al.  Lead time variation control using reliable shipment equipment: An incentive scheme for supply chain coordination , 2014 .

[33]  Alain Bensoussan,et al.  Optimizing production and inventory decisions in a supply chain with lot size, production rate and lead time interactions , 2013, Appl. Math. Comput..

[34]  M. Hariga,et al.  Integrated single vendor single buyer model with stochastic demand and variable lead time , 2004 .

[35]  Arthur V. Hill,et al.  MODELS FOR OPTIMAL LEAD TIME REDUCTION , 2009 .

[36]  C. Chuang,et al.  An extended newsboy problem with shortage-level constraints , 2000 .

[37]  Bhaba R. Sarker,et al.  An operational policy for an integrated inventory system under consignment stock policy with controllable lead time and buyers' space limitation , 2013, Comput. Oper. Res..

[38]  Yu-Cheng Hsiao,et al.  Integrated inventory models with controllable lead time and backorder discount considerations , 2005 .

[39]  Liang-Yuh Ouyang,et al.  Mixture inventory model involving variable lead time with a service level constraint , 1997, Comput. Oper. Res..