The Impact of Demand Aggregation Through Delayed Component Allocation in an Assemble-to-Order System

We consider an assemble-to-order system in which multiple products are assembled from a common component and a set of product-dedicated components. Component capacities are chosen prior to a finite-horizon selling season, and the common component is allocated to the products based on observed demands. We propose a collection of allocation mechanisms involving varying degrees of demand aggregation, ranging from a scheme under which all demands are observed prior to making the allocation decision to allocations made for each arriving demand. In this context, we explore the impact of the allocation scheme on sales, profits, and capacity decisions, including the degree of capacity imbalance. We find that the benefit from increased demand aggregation is closely linked to the degree of capacity imbalance: profit gains from delayed allocation tend to be higher in systems in which the optimal capacity portfolio is highly unbalanced when the allocation decision is made after observing all demands. We develop insights into what detailed system parameters lead to the largest gains from demand aggregation and also explore the trade-offs associated with the choice of an allocation scheme when customers exhibit impatience if the allocation scheme forces them to wait to be served. This paper was accepted by Ananth Iyer, operations and supply chain management.

[1]  Ebru K. Bish,et al.  Optimal Investment Strategies for Flexible Resources, Considering Pricing and Correlated Demands , 2004, Oper. Res..

[2]  Yigal Gerchak,et al.  Component commonality in assemble-to-order systems: Models and properties , 1989 .

[3]  Jayashankar M. Swaminathan,et al.  Demand and Production Management with Uniform Guaranteed Lead Time , 2005 .

[4]  Jan A. Van Mieghem,et al.  Price Versus Production Postponement: Capacity and Competition , 1999 .

[5]  S. Graves,et al.  Supply chain management : design, coordination and operation , 2003 .

[6]  Ke Fu,et al.  Inventory and Production Decisions for an Assemble-to-Order System with Uncertain Demand and Limited Assembly Capacity , 2006, Oper. Res..

[7]  A. Zhang DEMAND FULFILLMENT RATES IN AN ASSEMBLETO‐ ORDER SYSTEM WITH MULTIPLE PRODUCTS AND DEPENDENT DEMANDS , 1997 .

[8]  M. Magazine,et al.  Component Commonality with Service Level Requirements , 1988 .

[9]  K. Talluri,et al.  The Theory and Practice of Revenue Management , 2004 .

[10]  Qiong Wang,et al.  A Stochastic Programming Based Inventory Policy for Assemble-to-Order Systems with Application to the W Model , 2010, Oper. Res..

[11]  Susan H. Xu,et al.  Joint Inventory Replenishment and Component Allocation Optimization in an Assemble-to-Order System , 2004, Manag. Sci..

[12]  D. Maister The Psychology of Waiting Lines , 2005 .

[13]  D. Collier Aggregate Safety Stock Levels and Component Part Commonality , 1982 .

[14]  Jiri Chod,et al.  Resource Flexibility with Responsive Pricing , 2005, Oper. Res..

[15]  G. Fitzsimons Consumer Response to Stockouts , 2000 .

[16]  Stephen C. Graves Note-A Multiple-Item Inventory Model with a Job Completion Criterion , 1982 .

[17]  Stephen A. Smith,et al.  Note—Optimal Inventories Based on Job Completion Rate for Repairs Requiring Multiple Items , 1980 .

[18]  Özalp Özer,et al.  Inventory Control with Limited Capacity and Advance Demand Information , 2004, Oper. Res..

[19]  Christopher S. Tang,et al.  Variability Reduction Through Operations Reversal , 1998 .

[20]  K. R. Baker,et al.  The Effect of Commonality on Safety Stock in a Simple Inventory Model , 1986 .

[21]  Tong Wang,et al.  Inventory Management with Advance Demand Information and Flexible Delivery , 2008, Manag. Sci..

[22]  Fernando Bernstein,et al.  Incentives and Commonality in a Decentralized Multiproduct Assembly System , 2007, Oper. Res..

[23]  Matthias Holweg,et al.  The Second Century: Reconnecting Customer and Value Chain through Build-to-Order Moving beyond Mass and Lean Production in the Auto Industry , 2005 .

[24]  A. Müller,et al.  Comparison Methods for Stochastic Models and Risks , 2002 .

[25]  Yingdong Lu,et al.  Order-Based Cost Optimization in Assemble-to-Order Systems , 2005, Oper. Res..

[26]  Morris A. Cohen,et al.  Optimal material control in an assembly system with component commonality , 2001 .

[27]  Jayashankar M. Swaminathan,et al.  Managing broader product lines through delayed differentiation using vanilla boxes , 1998 .

[28]  Jan A. Van Mieghem Note - Commonality Strategies: Value Drivers and Equivalence with Flexible Capacity and Inventory Substitution , 2004, Manag. Sci..

[29]  Jean-Philippe Gayon,et al.  Using Imperfect Advance Demand Information in Production-Inventory Systems with Multiple Customer Classes , 2009, Manuf. Serv. Oper. Manag..

[30]  Awi Federgruen,et al.  Capacitated Multi-Item Inventory Systems with Random and Seasonally Fluctuating Demands: Implications for Postponement Strategies , 2001, Manag. Sci..

[31]  Daniel Granot,et al.  Price and Order Postponement in a Decentralized Newsvendor Model with Multiplicative and Price-Dependent Demand , 2008, Oper. Res..

[32]  Kyle Y. Lin,et al.  Allocation of flexible and indivisible resources with decision postponement and demand learning , 2008, Eur. J. Oper. Res..

[33]  Yao Zhao,et al.  No-Holdback Allocation Rules for Continuous-Time Assemble-to-Order Systems , 2010, Oper. Res..

[34]  Yao Zhao,et al.  The Value of Component Commonality in a Dynamic Inventory System with Lead Times , 2009, Manuf. Serv. Oper. Manag..

[35]  Jan A. Van Mieghem,et al.  Commissioned Paper: Capacity Management, Investment, and Hedging: Review and Recent Developments , 2003, Manuf. Serv. Oper. Manag..

[36]  J. Michael Harrison,et al.  Multi-Resource Investment Strategies: Operational Hedging Under Demand Uncertainty , 1997, Eur. J. Oper. Res..

[37]  David D. Yao,et al.  Order Fill Rate, Leadtime Variability, and Advance Demand Information in an Assemble-to-Order System , 2003, Oper. Res..

[38]  John A. Czepiel,et al.  The Service encounter : managing employee/customer interaction in service businesses , 1985 .

[39]  J. V. Mieghem Investment Strategies for Flexible Resources , 1998 .

[40]  Jing-Sheng Song,et al.  Supply Chain Operations: Assemble-to-Order Systems , 2003, Supply Chain Management.

[41]  George L. Nemhauser,et al.  Handbooks in operations research and management science , 1989 .

[42]  Özalp Özer,et al.  Integrating Replenishment Decisions with Advance Demand Information , 2001, Manag. Sci..