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Realistic two-stage flowshop batch scheduling problems with transportation capacity and times. (English) Zbl 1236.90049

Summary: We investigate single-batch and batch-single flow shop scheduling problem taking transportation among machines into account. Both transportation capacity and transportation times are explicitly considered. While the single processing machine processes one job at a time, the batch processing machine processes a batch of jobs simultaneously. The batch processing time is the longest processing times of jobs assigned to that batch.

MSC:

90B35 Deterministic scheduling theory in operations research
Full Text: DOI

References:

[1] Tang, L.; Liu, P., Two-machine flowshop scheduling problems involving a batching machine with transportation or deterioration consideration, Appl. Math. Modell., 33, 1187-1199 (2009) · Zbl 1168.90473
[2] Tang, L.; Liu, P., Flowshop scheduling problems with transportation or deterioration between the batching and single machines, Comput. Ind. Eng., 56, 1289-1295 (2009)
[3] Webster, S.; Baker, K. R., Scheduling groups of jobs on a single machine, Oper. Res., 43, 692-703 (1995) · Zbl 0857.90062
[4] Potts, C. N.; Kovalyov, M. Y., Scheduling with batching: a review, Euro. J. Oper. Res., 120, 228-249 (2000) · Zbl 0953.90028
[5] Ikura, Y.; Gimple, M., Scheduling algorithms for a single batch processing machine, Oper. Res. Lett., 5, 61-65 (1986) · Zbl 0594.90045
[6] Sung, C. S.; Yoon, S. H., Minimizing maximum completion time in a two-batch-processing-machine flowshop with dynamic arrivals allowed, Eng. Optim., 28, 231-243 (1997)
[7] Ahmadi, J. H.; Ahmadi, R. H.; Dasu, S.; Tang, C. S., Batching and scheduling jobs on batch and discrete processors, Oper. Res., 39, 750-763 (1992) · Zbl 0758.90042
[8] Sung, C. S.; Kim, Y. H., Minimizing makespan in a two-machine flowshop with dynamic arrivals allowed, Comput. Oper. Res., 29, 275-294 (2002) · Zbl 0993.90051
[9] Chandru, V.; Lee, C. Y.; Uzsoy, R., Minimizing total completion time on batch processing machines, Int. J. Prod. Res., 31, 2097-2121 (1993)
[10] Lee, C. Y.; Uzsoy, R.; Martin-Vega, L. A., Efficient algorithms for scheduling semiconductor burn-in operations, Oper. Res., 40, 764-775 (1992) · Zbl 0759.90046
[11] Sung, C. S.; Choung, Y. I., Minimizing makespan on a single burn-in oven in semiconductor manufacturing, Euro. J. Oper. Res., 120, 559-574 (2000) · Zbl 0971.90033
[12] Lee, C. Y.; Chen, Z. L., Machine scheduling with transportation considerations, J. Schedul., 4, 3-24 (2001) · Zbl 0979.90055
[13] Langston, M. A., Interstage transportation planning in the deterministic flow-shop environment, Oper. Res., 35, 556-564 (1987)
[14] Stern, H. I.; Vitner, G., Scheduling parts in a combined production-transportation work cell, J. Oper. Res. Soc., 41, 625-632 (1990) · Zbl 0703.90047
[15] Maggu, P. L.; Das, G., On \(2^∗\) n sequencing problem with transportation times of jobs, Int. J. Pure Appl. Math. Sci., 12, 1-6 (1980) · Zbl 0441.90039
[16] Kise, H., On an automated two-machine flowshop scheduling problem with infinite buffer, J. Oper. Res. Soc. Jpn., 34, 354-361 (1991) · Zbl 0747.90048
[17] Yuan, J.; Soukhal, A.; Chen, Y.; Lu, L., A note on the complexity of flowshop scheduling with transportation constraints, Euro. J. Oper. Res., 178, 918-925 (2007) · Zbl 1163.90517
[18] Soukhal, A.; Oulamara, A.; Martineau, P., Complexity of flowshop scheduling problems with transportation constraints, Euro. J. Oper. Res., 161, 32-41 (2005) · Zbl 1065.90043
[19] Chen, Z. L.; Vairaktarakis, G. L., Integrated scheduling of production and distribution operations, Manage. Sci., 51, 614-628 (2005) · Zbl 1145.90380
[20] Chen, B.; Lee, C. Y., Logistics scheduling with batching and transportation, Euro. J. Oper. Res., 189, 871-876 (2008) · Zbl 1146.90027
[21] Tang, L.; Gong, H., A hybrid two-stage transportation and batch scheduling problem, Appl. Math. Modell., 32, 2467-2479 (2007) · Zbl 1167.90520
[22] Chang, Y. C.; Lee, C. Y., Machine scheduling with job delivery coordination, Euro. J. Oper. Res., 158, 470-487 (2004) · Zbl 1067.90041
[23] Graham, R. L.; Lawler, E. L.; Lenstra, J. K.; Rinnooy Kan, A. H.G., Optimization and approximation in deterministic sequencing and scheduling theory: a survey, Ann. Discr. Math., 5, 287-326 (1979) · Zbl 0411.90044
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