A branch-and-bound algorithm to minimize the line length of a two-sided assembly line

A new branch-and-bound algorithm is presented to solve the two-sided assembly line balancing problem of type 1 (TALB-1). First, a pair of two directly facing station is defined as a position, and then the two-sided assembly line (TAL) is relaxed to a one-sided assembly line (OAL). Some new lower bound on positions are computed, and dominance rules and reduction rules for the one-sided assembly line balancing problem of type 1 (OALB-1) are extended and incorporated into a station-oriented assignment procedure for the TALB-1 problem. Finally, the tests are carried out on a well-known benchmark set of problem instances, and experimental results demonstrate that the proposed procedure is efficient.

[1]  Xiaofeng Hu,et al.  A station-oriented enumerative algorithm for two-sided assembly line balancing , 2008, Eur. J. Oper. Res..

[2]  Armin Scholl,et al.  Maximizing the production rate in simple assembly line balancing -- A branch and bound procedure , 1996 .

[3]  Xiaofeng Hu,et al.  A branch-and-bound algorithm for two-sided assembly line balancing , 2008 .

[4]  J. J. Bartholdi,et al.  Balancing two-sided assembly lines: a case study , 1993 .

[5]  Armin Scholl,et al.  Balancing assembly lines effectively - A computational comparison , 1999, Eur. J. Oper. Res..

[6]  V. V. Vinod,et al.  A genetic algorithm for assembly line balancing , 1996 .

[7]  Ana S. Simaria,et al.  2-ANTBAL: An ant colony optimisation algorithm for balancing two-sided assembly lines , 2009, Comput. Ind. Eng..

[8]  Armin Scholl,et al.  A survey on problems and methods in generalized assembly line balancing , 2006, Eur. J. Oper. Res..

[9]  Yeongho Kim,et al.  Two-sided assembly line balancing: A genetic algorithm approach , 2000 .

[10]  Armin Scholl,et al.  State-of-the-art exact and heuristic solution procedures for simple assembly line balancing , 2006, Eur. J. Oper. Res..

[11]  Türkay Dereli,et al.  Two-sided assembly line balancing using an ant-colony-based heuristic , 2008 .

[12]  Krzysztof Fleszar,et al.  An enumerative heuristic and reduction methods for the assembly line balancing problem , 2003, Eur. J. Oper. Res..

[13]  Gregory Levitin,et al.  Genetic algorithm for assembly line balancing , 1995 .

[14]  Yeongho Kim,et al.  Two-sided assembly line balancing to maximize work relatedness and slackness , 2001 .

[15]  Bilal Toklu,et al.  Multiple-criteria decision-making in two-sided assembly line balancing: A goal programming and a fuzzy goal programming models , 2009, Comput. Oper. Res..