Model-based production cost estimation to support bid processes: an automotive case study

In the automobile supplier industry companies frequently need to make bids, typically based on cost estimates for the production process, to obtain incoming orders. The production process is executed in several main stages, which are linked by intra-plant logistics. To model different scenarios, we consider two separate organizational approaches towards cost estimation. In the first one, all the main stages are optimized via a central authority. The second approach models a decentralized decision making process, as it is currently used in practice. Moreover, we analyze different coordination mechanisms to improve the decentralized approach. To capture the uncertainty during the bid process, associated with key parameters like demand, capacity consumption and cost, we formulate a stochastic version of the model, capturing different risk preferences to compare risk-neutral and risk-averse decision making. The resulting MILPs are solved with CPLEX and results for an illustrative example based on a real data set are presented.

[1]  C. C. Holt,et al.  A Linear Decision Rule for Production and Employment Scheduling , 1955 .

[2]  C. Holt,et al.  Derivation of a Linear Decision Rule for Production and Employment , 1956 .

[3]  Sidney W. Hess,et al.  A Linear Programming Approach to Production and Employment Scheduling , 1960 .

[4]  Robert E. Markland,et al.  Aggregate planning in crew-loaded production environments , 1989, Comput. Oper. Res..

[5]  Rasaratnam Logendran,et al.  Aggregate production planning — A survey of models and methodologies , 1992 .

[6]  Rasaratnam Logendran,et al.  Modified production switching heuristics for aggregate production planning , 1995, Comput. Oper. Res..

[7]  Philippe Artzner,et al.  Coherent Measures of Risk , 1999 .

[8]  Sönke Albers,et al.  Regeln zur fast-optimalen Bestimmung des Angebotsaufwandes , 2000 .

[9]  R. Rockafellar,et al.  Optimization of conditional value-at risk , 2000 .

[10]  A. Shapiro,et al.  The Sample Average Approximation Method for Stochastic Programs with Integer Recourse , 2002 .

[11]  Stanislav Uryasev,et al.  Conditional Value-at-Risk for General Loss Distributions , 2002 .

[12]  Christoph A. Schneeweiss,et al.  Distributed Decision Making , 2003 .

[13]  Rüdiger Schultz,et al.  Stochastic programming with integer variables , 2003, Math. Program..

[14]  Herbert Meyr,et al.  Supply chain planning in the German automotive industry , 2004, OR Spectr..

[15]  Reay-Chen Wang,et al.  Applying possibilistic linear programming to aggregate production planning , 2005 .

[16]  José Rui Figueira,et al.  An interactive decision support system for an aggregate production planning model based on multiple criteria mixed integer linear programming , 2006 .

[17]  Raul Poler,et al.  Models for production planning under uncertainty: A review ☆ , 2006 .

[18]  Marina Gebhard,et al.  Hierarchische Produktionsplanung bei Unsicherheit , 2009 .

[19]  Josefa Mula,et al.  Quantitative models for supply chain planning under uncertainty: a review , 2009 .

[20]  El Houssaine Aghezzaf,et al.  Models for robust tactical planning in multi-stage production systems with uncertain demands , 2010, Comput. Oper. Res..

[21]  Thomas Spengler,et al.  Modeling and simulation of order-driven planning policies in build-to-order automobile production , 2011 .

[22]  Leena Suhl,et al.  Aggregate production planning in the automotive industry with special consideration of workforce flexibility , 2011 .

[23]  Tarik Aouam,et al.  Integrated production planning and order acceptance under uncertainty: A robust optimization approach , 2013, Eur. J. Oper. Res..

[24]  Joaquim Borges Gouveia,et al.  A real options approach to labour shifts planning under different service level targets , 2013, Eur. J. Oper. Res..

[25]  M. Gansterer Aggregate planning and forecasting in make-to-order production systems , 2015 .

[26]  Kuan Yew Wong,et al.  A robust optimization model for agile and build-to-order supply chain planning under uncertainties , 2013, Ann. Oper. Res..