EN|RU
English version: Journal of Applied and Industrial Mathematics, 2017, 11:1, 17-25 |
![]() |
Volume 24, No 1, 2017, P. 5-20 UDC 519.8
Keywords: cyclic schedule, dynamic programming, pseudopolynomial algorithm. DOI: 10.17377/daio.2017.24.500 Ekaterina A. Bobrova 1 Received 3 July 2015 References[1] E. A. Bobrova, A. A. Romanova, and V. V. Servakh, The complexity of cyclic scheduling for identical jobs, Diskretn. Anal. Issled. Oper., 20, No. 4, 3–14, 2013 [Russian].[2] A. A. Romanova and V. V. Servakh, Optimization of processing identical jobs by means of cyclic schedules, Diskretn. Anal. Issled. Oper., 15, No. 5, 47–60, 2008 [Russian]. Translated in J. Appl. Ind. Math., 3, No. 4, 496–504, 2009. [3] V. V. Servakh, An effectively solvable case of a project scheduling problem with renewable resources, Diskretn. Anal. Issled. Oper., Ser. 2, 7, No. 1, 75–82, 2000 [Russian]. [4] V. G. Timkovsky, Approximate solution of schedule construction problem for cyclic system, Ekon. Mat. Metody, 22, No. 1, 171–174, 1986 [Russian]. [5] T. Boudoukh, M. Penn, and G. Weiss, Job-shop — an application of fluid approximation, in Proc. 10th Conf. Ind. Eng. Manag., Haifa, Israel, June 10–12, 1998, pp. 254–258, Isr. Inst. Technol., Haifa, 1998 [Hebrew]. [6] T. Boudoukh, M. Penn, and G. Weiss, Scheduling jobshops with some identical or similar jobs, J. Sched., 4, No. 4, 177–199, 2001. [7] P. Brucker, Scheduling Algorithms, Springer, Heidelberg, 2007. [8] N. G. Hall, T. E. Lee, and M. E. Posner, The complexity of cyclic shop scheduling problems, J. Sched., 5, No. 4, 307–327, 2002. [9] C. Hanen, Study of a NP-hard cyclic scheduling problem: The recurrent job-shop, Eur. J. Oper. Res., 72, No. 1, 82–101, 1994. [10] H. Kamoun and C. Sriskandarajah, The complexity of scheduling jobs in repetitive manufacturing systems, Eur. J. Oper. Res., 70, No. 3, 350–364, 1993. [11] E. Levner, V. Kats, D. Pablo, and E. Cheng, Complexity of cyclic scheduling problems: A state-of-the-art survey, Comput. Ind. Eng., 59, No. 2, 352–361, 2010. [12] S. T. McCormick and U. S. Rao, Some complexity results in cyclic scheduling, Math. Comput. Model., 20, No. 2, 107–122, 1994. [13] U. S. Rao and P. L. Jackson, Subproblems in identical jobs cyclic scheduling: Properties, complexity and solution approaches, Tech. Rep., Cornell Univ., Ithaca, NY, USA, 1993. Available at http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.3814. Accessed Oct. 5, 2016. [14] R. Roundy, Cyclic schedules for job shops with identical jobs, Math. Oper. Res., 17, No. 4, 842–865, 1992. [15] V. V. Servakh, A dynamic algorithm for some project management problems, in Proc. Int. Workshop “Discrete Optimization Methods in Scheduling and Computer-Aided Design”, Minsk, Belarus, Sept. 5–6, pp. 90–92, Inst. Eng. Cybern. NAS Belarus, Minsk, 2000. [16] V. G. Timkovsky, Cycle shop scheduling, in Handbook of Scheduling: Algorithms, Models, and Performance Analysis, pp. 127–148, CRC Press, Boca Raton, 2004. |
|
![]() |
|
© Sobolev Institute of Mathematics, 2015 | |
![]() |
|