Robust car sequencing for automotive assembly

Abstract Just-in-sequence material supply is the status quo in the automotive industry. In this process, the assembly sequence of vehicles is set several days prior to production, and communicated to the suppliers. The committed sequence is essential for efficient operations both at the original equipment manufacturer and its suppliers. In practice, however, sequence stability is insufficient. Short-term disruptions, such as quality problems and missing parts, put the sequence at risk. If a disruption occurs, the affected vehicle is removed from the sequence. The resulting gap is closed by bringing the succeeding vehicles forward. Such sequence alterations, however, cause workload changes and potentially work overloads at the assembly stations. As a remedial measure, additional sequence alterations are necessary, which further disturb material supply. Robustness against short-term sequence alterations is currently a key objective of automotive manufacturers. In this paper, we propose a sequencing approach that includes the vehicles’ failure probabilities in order to generate robust sequences. Robust sequences are sequences that can be operated without modifications, even when vehicles fail. We develop a branch-and-bound algorithm that optimally solves small-sized instances. For large-sized instances, we design a sampling-based adaptive large neighborhood search heuristic. The superiority of our approach is validated in a simulation study using real-world data from a major European manufacturer. We find reductions in the expected work overloads of 72% and 80%, compared to the industry solution, and compared to an approach taken from literature which does not take failures into account.

[1]  Glaydston Mattos Ribeiro,et al.  An adaptive large neighborhood search heuristic for the cumulative capacitated vehicle routing problem , 2012, Comput. Oper. Res..

[2]  Celso C. Ribeiro,et al.  A hybrid heuristic for a multi-objective real-life car sequencing problem with painting and assembly line constraints , 2008, Eur. J. Oper. Res..

[3]  H. Lorenz,et al.  Jena Research Papers in Business and Economics Sequencing Mixed-Model Assembly Lines : Survey , Classification and Model Critique , 2007 .

[4]  Tamás Kis,et al.  On the complexity of the car sequencing problem , 2004, Oper. Res. Lett..

[5]  Alf Kimms,et al.  Sequencing JIT Mixed-Model Assembly Lines Under Station-Load and Part-Usage Constraints , 2001, Manag. Sci..

[6]  Candace Arai Yano,et al.  Scheduling algorithms to minimize utility work at a single station on a paced assembly line , 1992 .

[7]  Grégory Mounié,et al.  Greedy approach and multi-criteria simulated annealing for the car sequencing problem , 2008, Eur. J. Oper. Res..

[8]  Nils Boysen,et al.  The Car Resequencing Problem with Pull-Off Tables , 2011 .

[9]  Wonjoon Choi,et al.  A real-time sequence control system for the level production of the automobile assembly line , 1997 .

[10]  Christine Solnon,et al.  The car sequencing problem: Overview of state-of-the-art methods and industrial case-study of the ROADEF'2005 challenge problem , 2008, Eur. J. Oper. Res..

[11]  Nils Boysen,et al.  Analysis and design of sequencing rules for car sequencing , 2010, Eur. J. Oper. Res..

[12]  Christine Solnon,et al.  Combining two pheromone structures for solving the car sequencing problem with Ant Colony Optimization , 2008, Eur. J. Oper. Res..

[13]  Chris N. Potts,et al.  Constraint satisfaction problems: Algorithms and applications , 1999, Eur. J. Oper. Res..

[14]  David Pisinger,et al.  An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows , 2006, Transp. Sci..

[15]  Eduardo Saliby,et al.  Descriptive Sampling: A Better Approach to Monte Carlo Simulation , 1990 .

[16]  Stefan Minner,et al.  Resequencing mixed-model assembly lines with restoration to customer orders , 2017, Omega.

[17]  Edward P. K. Tsang,et al.  Tackling Car Sequencing Problems Using a Generic Genetic Algorithm , 1995, Evolutionary Computation.

[18]  Gilbert Laporte,et al.  Iterated tabu search for the car sequencing problem , 2008, Eur. J. Oper. Res..

[19]  Sebastian Meissner,et al.  Controlling just-in-sequence flow-production , 2010, Logist. Res..

[20]  F.-Y. Ding,et al.  Sequence alteration and restoration related to sequenced parts delivery on an automobile mixed-model assembly line with multiple departments , 2004 .

[21]  Marc Gravel,et al.  Review and comparison of three methods for the solution of the car sequencing problem , 2005, J. Oper. Res. Soc..

[22]  Candace Arai Yano,et al.  A surrogate objective for utility work in paced assembly lines Ahmet Bolat, Candace Arai Yano. , 1992 .

[23]  Nils Boysen,et al.  Car sequencing versus mixed-model sequencing: A computational study , 2014, Eur. J. Oper. Res..

[24]  Bertrand Estellon,et al.  Two local search approaches for solving real-life car sequencing problems , 2008, Eur. J. Oper. Res..

[25]  Khalil S. Hindi,et al.  Formulation and solution of a selection and sequencing problem in car manufacture , 1994 .

[26]  Robert R. Inman,et al.  ASRS sizing for recreating automotive assembly sequences , 2003 .

[27]  Marc Gravel,et al.  Solving real car sequencing problems with ant colony optimization , 2006, Eur. J. Oper. Res..

[28]  Thierry Benoist,et al.  Soft car sequencing with colors: Lower bounds and optimality proofs , 2008, Eur. J. Oper. Res..

[29]  Yannick Frein,et al.  Definition of spacing constraints for the car sequencing problem , 2011 .

[30]  Kathryn E. Stecke,et al.  Least in-sequence probability heuristic for mixed-volume production lines , 2008 .

[31]  Nils Boysen,et al.  Resequencing of mixed-model assembly lines: Survey and research agenda , 2012, Eur. J. Oper. Res..

[32]  Heinrich Kuhn,et al.  Modeling and analyzing sequence stability in flexible automotive production systems , 2020, Flexible Services and Manufacturing Journal.