A Simplified Branch-and-Price Mechanism for a Three-Machine Dynamic PCB Assembly

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Abstract:

A dynamic Printed Circuit Board (PCB) assembly system along with the most complete form of setup time in this assembly is introduced in this paper. An effective Branch-and-Price mechanism is employed to develop a lower bound for the three-machine problem. However, solving the sub problems remains computationally difficult because of their NP-hard nature. An optimal approach is established, which makes solving the sub problems computationally feasible.

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398-403

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July 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] C.A. Gelogullari, R. Logendran, Group-scheduling problems in electronics manufacturing, Journal of Scheduling. 13 (2010) 177-202.

DOI: 10.1007/s10951-009-0147-3

Google Scholar

[2] C. Barnhart, E. Johnson, G. Newhauser, M. Savelsbergh, P. Vance, Branch-and-price: column generation for solving huge integer programs, Operations Research. 46 (1998) 316-329.

DOI: 10.1287/opre.46.3.316

Google Scholar

[3] W.E. Wilhelm, A technical review of column generation in integer programming, Optimization and Engineering. 2 (2001) 159-200.

Google Scholar

[4] W.E. Wilhelm, P. Damodaran, J. Li, Prescribing the content and timing of product upgrades, IIE Transactions. 35 (2003) 647-664.

DOI: 10.1080/07408170304359

Google Scholar

[5] F. Vanderbeck, On dantzig-wolfe decomposition in integer programming and ways to perform branching in a branch-and-price algorithm, Operations Research. 48 (2000) 111-128.

DOI: 10.1287/opre.48.1.111.12453

Google Scholar

[6] C.A. Gelogullari, Group scheduling problems in electronics manufacturing (Doctoral dissertation), Oregon State University, Oregon, USA, (2005).

Google Scholar

[7] J. Du, J.Y.T. Leung, Minimizing total tardiness on one machine is NP-hard, Mathematics of Operations Research. 15 (1999) 483-495.

DOI: 10.1287/moor.15.3.483

Google Scholar

[8] M.T. Yazdani Sabouni, R. Logendran, An efficient branch-and-price approach for a dynamic PCB assembly, to be presented at the 23nd Annual Industrial and Systems Engineering Research Conference (ISERC), Montreal, Canada, May (2014).

Google Scholar

[9] ILOG CPLEX, IBM, Version 12. 2. (2009).

Google Scholar