A concise survey of efficiently solvable special cases of the permutation flow-shop problem
C. L. Monma; A. H. G. Rinnooy Kan
RAIRO - Operations Research - Recherche Opérationnelle (1983)
- Volume: 17, Issue: 2, page 105-119
- ISSN: 0399-0559
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topMonma, C. L., and Rinnooy Kan, A. H. G.. "A concise survey of efficiently solvable special cases of the permutation flow-shop problem." RAIRO - Operations Research - Recherche Opérationnelle 17.2 (1983): 105-119. <http://eudml.org/doc/104828>.
@article{Monma1983,
author = {Monma, C. L., Rinnooy Kan, A. H. G.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {survey; permutation flow-shop problem; weight of a critical path; associated directed group; restrictions on job processing times; bottleneck machines; lag times; precedence constraints},
language = {eng},
number = {2},
pages = {105-119},
publisher = {EDP-Sciences},
title = {A concise survey of efficiently solvable special cases of the permutation flow-shop problem},
url = {http://eudml.org/doc/104828},
volume = {17},
year = {1983},
}
TY - JOUR
AU - Monma, C. L.
AU - Rinnooy Kan, A. H. G.
TI - A concise survey of efficiently solvable special cases of the permutation flow-shop problem
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1983
PB - EDP-Sciences
VL - 17
IS - 2
SP - 105
EP - 119
LA - eng
KW - survey; permutation flow-shop problem; weight of a critical path; associated directed group; restrictions on job processing times; bottleneck machines; lag times; precedence constraints
UR - http://eudml.org/doc/104828
ER -
References
top- 1. J. O. ACHUGBUE and F. Y. CHIN, Complexity and Solutions of Some Three StageFlow Shop Scheduling Problems, Technical Report 79-7, University of Alberta, Canada, 1979. Zbl0498.90043
- 2. N. R. ACHUTHAN, A Special Case of the (n/m/F/Fmax) problem, Opsearch, Vol. 14, 1977, pp.71-87. MR452623
- 3. N. R. ACHUTHAN, Flow-Shop Scheduling Problems, Ph. D. Thesis, Indian Statistical Institute, Calcutta, 1980.
- 4. T. S. ARTHANARY and A. C. MUKHAPADHYAH, A Note on a Paper, by W. Szwarc, Naval Research Logistics Quarterly, Vol. 18, 1971, pp. 135-138. Zbl0217.27301
- 5. F. BURNS and J. ROOKER, A Special Case of the 3 x n Flow-Shop Problem, Naval Research Logistics Quarterly, Vol. 22, 1975, pp.811-817. Zbl0344.90023
- 6. F. BURNS and J. ROOKER, Johnson's Three Machine Flow-Shop Conjecture, Operations Research, Vol. 24, 1976, pp. 578-580. Zbl0336.90027MR411601
- 7. F. BURNS and J. ROOKER, Three-State Flow-Shop with Recessive Second State, Operations Research, Vol. 26, 1978, pp. 207-208. Zbl0371.90062MR484362
- 8. F. CHIN and L. TSAI, On J-maximal and J-minimal Flow-Shop Schedules (toappear). Zbl0461.68034
- 9. D. G. DANNENBRING, An Evaluation of Flow-Shop Sequencing Heuristics, Management Science, Vol. 23, 1977, pp.1174-1182. Zbl0371.90063
- 10. M. R. GAREY, D. S. JOHNSON and R. SETHI, The Complexity of Flow-Shop and Job-shop Scheduling, Mathematics of Operations Research, Vol. 1, 1976, pp. 117-129. Zbl0396.90041MR418895
- 11. J. N. D. GUPTA, Optimal Schedules for Special Structure Flow-shops, Naval Research Logistics Quarterly, Vol. 22, 1975, pp.255-269. Zbl0336.90028MR381677
- 12. S. M. JOHNSON, Optimal Two- and Three-Stage Production Schedules with SetupTimes Included, Naval Research Logistics Quarterly, Vol. 1, 1954, pp.61-68.
- 13. S. M. JOHNSON, Discussion: Sequencing n Jobs on Two Machines with ArbitraryTime Lags, Management Science, Vol. 5, 1959, pp.299-303. Zbl0995.90537MR101165
- 14. T. KURISU, Two-Machine Scheduling under Required Precedence Among Jobs, J. Operations Research Society Japan, Vol. 19, 1976, pp.1-13. Zbl0328.90036MR406466
- 15. T. KURISU, Two-Machine Scheduling under Arbitrary Precedence Constraints, J. Operations Research Society Japan, Vol. 20, 1977, pp.113-131. Zbl0367.90076MR449629
- 16. T. KURISU, Three-Machine Scheduling Problem with Precedence Constraints, J.Operations Research Society Japan, Vol. 20, 1977, pp. 231-242. Zbl0365.90078MR452628
- 17. B. J. LAGEWEG, J. K. LENSTRA and A. H. G. RINNOOY KAN, A General Bounding Scheme for the Permutation Flow-Shop Problem, Operations Research, Vol. 26, 1978, pp. 53-67. Zbl0371.90059
- 18. J. K. LENSTRA, A. H. G. RINNOOY KAN and P. BRUCKER, Complexity of Machine Scheduling Problems, Annals Discrete Mathematics, Vol. 1, 1977, pp. 343-362. Zbl0353.68067MR456421
- 19. G. B. MCMAHON, A Study of Algorithms for Industrial Scheduling Problems, Ph. D. thesis, University of South Wales, 1971.
- 20. Y. MING-I., On the n Job, m Machine Sequencing Problem of Flow-Shop, Operational Research, Vol. 75, North Holland, 1976, pp.179-200. Zbl0395.90038MR449634
- 21. L. G. MITTEN, Sequencing n Jobs on Two Machines with Arbitrary Lag Times, Management Science, Vol. 5, 1958, pp. 293-298. Zbl0995.90539MR101164
- 22. L. G. MITTEN, A Scheduling Problem, J. Industrial Engineering, Vol.10, 1959, pp. 131-135.
- 23. C. L. MONMA, Optimal m x n Flow Shop Sequencing with Precedence Constraints and Lag Times, Institute of OR, Report 7778, University of Bonn, 1977.
- 24. C. L. MONMA, The Two-Machine Maximum Flow Time Problem with Series-Parallel Precedence Constraints: An Algorithm and Extensions, Operations Research, Vol. 27, 1979, pp. 792-797. Zbl0419.90046
- 25. C. L. MONMA, Sequencing to Minimize the Maximum Job Cost, Operations Research, Vol. 28, 1980, pp. 942-951. Zbl0423.68006MR584898
- 26. C. L. MONMA and J. B. SIDNEY, Sequencing with Series-Parallel Precedence Constraints, Mathematics of Operations Research, Vol. 4, 1979, pp. 215-224. Zbl0437.90047MR539402
- 27. I. NABESHIMA, The Order of n Items Processed on m Machines [I], J. Operations Research Society Japan, Vol. 3, 1961, pp. 170-175.
- 28. I. NABESHIMA, The Order of n Items Processed on m Machines [II], J. Operations Research Society Japan, Vol. 4, 1961, pp. 1-8. Zbl0388.90034MR790788
- 29. I. NABESHIMA, Sequencing Two Machines with Start Lag and Stop Lags, J. Operations Research Society Japan, Vol. 5, 1963, pp. 97-101.
- 30. I. NABESHIMA, Some Extensions of the M-Machine Scheduling Problem, J. Operations Research Society Japan, Vol. 10, 1967, pp. 1-17. Zbl0183.23303
- 31. I. NABESHIMA, The Order of n Items Processed on m Machines (III), J. Operations Research Society Japan, Vol. 16, 1973, pp. 163-184. Zbl0388.90034MR452632
- 32. I. NABESHIMA, Notes on the Analytical Results in Flow Shop Scheduling: Part 2, Rep.Univ. Electro-Comm., Vol. 27, 1977, pp. 253-257. MR662508
- 33. A. H. G. RINNOOY KAN, Machine Scheduling Problems: Classification, Complexity and Computations, Nijhoff, The Hague, 1976. Zbl0309.90026
- 34. J. B. SIDNEY, The Two-Machine Flow Time Problem with Series-Parallel Precedence Constraints, Operations Research, Vol 27, 1979, pp. 782-791. Zbl0426.90047MR542982
- 35. M. L. SMITH, S. S. PANWALKER and R. A. DUDEK, Flow Shop Sequencing with Ordered Processing Time Matrices, Management Science, Vol. 21, 1975, pp. 544-549. Zbl0302.90025
- 36. M. L. SMITH, S. S. PANWALKER and R. A. DUDEK, Flow Shop Sequencing Problem with Ordered Processing Time Matrices: A General Case, Naval Research Logistics Quarterly, Vol. 23, 1976, pp. 481-486. Zbl0336.90026MR446477
- 37. W. SZWARC, On Some Sequencing Problems, Naval Research Logistics Quarterly,Vol. 15, 1968, pp. 127-155. Zbl0164.20004
- 38. W. SZWARC, Mathematical Aspects of the 3 x n Job-Shop Sequencing Problem, Naval Research Logistics Quarterly, Vol. 21, 1974, pp.145-153 (see also pp. 725-726). Zbl0287.90010
- 39. W. SZWARC, Optimal Two-Machine Orderings in the 3 x n Flow-Shop Problem, Operations Research, Vol. 25, 1977, pp. 70-77. Zbl0379.90051MR525215
- 40. W. SZWARC, Special Cases for the Flow-Shop Problem, Naval Research Logistics Quarterly, Vol. 25, 1977, pp. 70-77. Zbl0379.90051MR459596
- 41. W. SZWARC, Permutation Flow-Shop Theory Revisited, Naval Research Logistics Quarterly, Vol. 26, 1978, pp. 557-570. Zbl0413.90030MR518074
- 42. W. SZWARC, The Critical Path Approach In the Flow-Shop Problem, Opsearch, Vol. 16, 1979, pp. 98-102. Zbl0436.90060MR556938
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