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A note on flow shop scheduling problems with deteriorating jobs on no-idle dominant machines. (English) Zbl 1183.90192
Summary: The main results in a recent paper, {\it M. Cheng, S. Sun} and {\it L. He} [Eur. J. Oper. Res. 183, No. 1, 115--124 (2007; Zbl 1127.90024)] are incorrect because job processing times are variable due to deteriorating effect, which is not taken into account by the authors. In this note, we show first by counter-examples that the published results are incorrect, and then we provide corrected results.

MSC:
90B35Scheduling theory, deterministic
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References:
[1] Alidaee, B.; Womer, N. K.: Scheduling with time dependent processing processing times: review and extensions, Journal of the operational research society 50, 711-720 (1999) · Zbl 1054.90542
[2] Cheng, T. C. E.; Ding, Q.; Lin, B. M. T.: A concise survey of scheduling with time-dependent processing times, European journal of operational research 152, 1-13 (2004) · Zbl 1030.90023 · doi:10.1016/S0377-2217(02)00909-8
[3] Cheng, M.; Sun, S.; He, L.: Flow shop scheduling problems with deteriorating jobs on no-idle dominant machines, European journal of operational research 183, 115-124 (2007) · Zbl 1127.90024 · doi:10.1016/j.ejor.2006.10.043
[4] Gawiejnowicz, S.: Scheduling deteriorating jobs subject to job or machine availability constraints, European journal of operational research 180, 472-478 (2007) · Zbl 1114.90034 · doi:10.1016/j.ejor.2006.04.021
[5] Ji, M.; Cheng, T. C. E.: Parallel-machine scheduling with simple linear deterioration to minimize total completion time, European journal of operational research 188, 342-347 (2008) · Zbl 1149.90343 · doi:10.1016/j.ejor.2007.04.050
[6] Lee, W. -C.; Wu, C. -C.; Chung, Y. -H.; Liu, H. -C.: Minimizing the total completion time in permutation flow shop with machine-dependent job deterioration rates, Computers and industrial engineering 36, 2111-2121 (2009) · Zbl 1179.90142 · doi:10.1016/j.cor.2008.07.008
[7] Leung, J. Y. -T.; Ng, C. T.; Cheng, T. C. E.: Minimizing sum of completion times for batch scheduling of jobs with deteriorating processing times, European journal of operational research 187, 1090-1099 (2008) · Zbl 1138.90396 · doi:10.1016/j.ejor.2006.03.067
[8] Wang, X.; Cheng, T. C. E.: Single-machine scheduling with deteriorating jobs and learning effects to minimize the makespan, European journal of operational research 178, 57-70 (2007) · Zbl 1110.90045 · doi:10.1016/j.ejor.2006.01.017
[9] Wang, J. -B.: Flow shop scheduling problems with decreasing linear deterioration under dominating machines, Computers and operations research 34, 2043-2058 (2007) · Zbl 1193.90116 · doi:10.1016/j.cor.2005.08.008
[10] Wang, J. -B.; Ng, C. T.; Cheng, T. C. E.: Single-machine scheduling with deteriorating jobs under a series-parallel graph constraint, Computers and operations research 35, 2684-2693 (2008) · Zbl 1180.90143 · doi:10.1016/j.cor.2006.12.026
[11] Wang, J. -B.; Xia, Z. -Q.: Flow shop scheduling problems with deteriorating jobs under dominating machines, Journal of the operational research society 57, 220-226 (2006) · Zbl 1090.90095 · doi:10.1057/palgrave.jors.2601959