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The Scientific World Journal
Volume 2014, Article ID 979238, 7 pages
Research Article

Asymptotic Analysis of SPTA-Based Algorithms for No-Wait Flow Shop Scheduling Problem with Release Dates

1Software College, Northeastern University, Shenyang 110819, China
2School of Business Administration, Northeastern University, Shenyang 110819, China

Received 31 August 2013; Accepted 30 October 2013; Published 9 February 2014

Academic Editors: P. A. D. Castro, B. Liu, X.-l. Luo, and Y. Shi

Copyright © 2014 Tao Ren et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We address the scheduling problem for a no-wait flow shop to optimize total completion time with release dates. With the tool of asymptotic analysis, we prove that the objective values of two SPTA-based algorithms converge to the optimal value for sufficiently large-sized problems. To further enhance the performance of the SPTA-based algorithms, an improvement scheme based on local search is provided for moderate scale problems. New lower bound is presented for evaluating the asymptotic optimality of the algorithms. Numerical simulations demonstrate the effectiveness of the proposed algorithms.