In the paper a variant of cyclic production with setups and two-machine cell is considered. One of the stages of the problem solving consists of assigning each operation to the machine on which it will be carried out. The total number of such assignments is exponential. We propose a polynomial time algorithm finding the optimal operations to machines assignment.
 W. Bożejko, M. Uchroński and M. Wodecki: Parallel metaheuristics for the cyclic flow shop scheduling problem. Computers & Industrial Engineering, 95 (2016), 156-163.
 W. Bożejko, A. Gnatowski, T. Niżyński and M. Wodecki: Tabu search algorithm with neural tabu mechanism for the cyclic job shop problem. In Artificial Intelligence and Soft Computing: 15th International Conference, ICAISC 2016, Zakopane, Poland, June 12-16, 2016, Proceedings, Part II, L. Rutkowski, M. Korytkowski, R. Scherer, R. Tadeusiewicz, L. A. Zadeh, and J. M. Zurada, Eds. Springer International Publishing, Cham, 2016, 409-418.
 W. Bożejko, M. Uchroński and M. Wodecki: Multi-GPU Tabu Search Metaheuristic for the Flexible Job Shop Scheduling Problem. Springer International Publishing, Heidelberg, 2014, 43-60.
 W. Bożejko and M. Wodecki: Problemy cykliczne z równoległymi maszynami (in Polish). In Automatyzacja procesów dyskretnych, Teoria i zastosowania (red. A. Świerniak, J. Krystek), A. Świerniak and J. Krystek, Eds. Gliwice, 2014, 27-36.
 F. Glover: Future paths for integer programming and links to artificial intelligence. Computer & Operational Research, 13(5), (1986), 533-549.
 A. Gnatowski: Finding properties of an assignment problem in application to cyclic scheduling problems (in Polish). Tech. Rep. PRE No. 5, Faculty of Electronics, Wrocław University of Science and Technology, 2016.
 T. Kampmeyer: Cyclic Scheduling Problems. PhD thesis, University Osnabrück, 2006.
 E. Levner, V. Kats, D.A.L. de Pablo and T. Cheng: Complexity of cyclic scheduling problems: A state-of-the-art survey. Computers & Industrial Engineering, 59(2), (2010), 352-361.
 E. Nowicki and C. Smutnicki: A fast taboo search algorithm for the job shop problem. Management science, 42(6), (1996), 797-813.
 T. Sawik: A mixed integer programming for cyclic scheduling of flexible flow lines. Bulletin of the Polish Academy of Sciences, Technical Sciences, 62(1), (2014), 121-128.