BULANIK AKIŞ TİPİ ÇİZELGELEME PROBLEMİ İÇİN ÇOK AMAÇLI GENETİK ALGORİTMA
Yıl 2007,
Cilt: 22 Sayı: 4, 0 - , 15.02.2013
İzzettin Temiz
Serpil Erol
Öz
Üretim planlama problemlerinin çoğu karar vericinin herhangi bir kararı vermeden önce birden fazla kriteridüşünmesini gerektirirken, çizelgeleme alanında yapılan çalışmaların pek çoğunda sadece bir kriter elealınmıştır. Bu makalede günümüz imalat sistemlerinde büyük öneme sahip m-makineli akış tipi çizelgelemeprobleminde işlem zamanları ve teslim tarihleri gibi zaman parametrelerinin belirsiz olduğu durum ele alınaraküretim tamamlanma zamanı, maksimum gecikme ve toplam akış zamanı amaçlarını eş zamanlı eniyileyengenetik algoritma temelli çok amaçlı bir yaklaşım geliştirilmiştir. Geliştirilen bulanık iş ve teslim zamanlı çokamaçlı genetik algoritma sonucunda amaç değerlerinin üyelik fonksiyonlarıyla ifade edildiği etkin çözümler eldeedilmektedir. Geliştirilen algoritmanın etkinliği küçük boyutlu problemler kullanılarak gösterilmiştir. Genetikalgoritmanın en iyi parametre değerleri faktöriyel deney tasarımı ile belirlenmiştir. Algoritmanın orta ve büyükboyutlardaki problemler için makul zamanda etkin çözümleri ürettiği gösterilmiştir.
Kaynakça
- Pinedo, M., Scheduling:Theory, algorithms, and
- systems, Prentice Hall, New Jersey, A.B.D., 2002.
- Lee, C.E. ve Chou, F.D., “A two-machine
- flowshop scheduling heuristic with bicriteria
- objective”, International Journal of Industrial
- Engineering,Cilt 5, No 2, 128-139, 1998.
- Nagar, A., Heragu, S. ve Haddock, J., “A
- combined branch and bound and genetic algorithm
- based approach for a flowshop scheduling
- problem”, Annals of Operations Research, Cilt
- , 397-414, 1996.
- Şerifoğlu, F.S. ve Ulusoy, G. “A bicriteria twomachine
- permutation flowshop problem”,
- European Journal of Operational Research,
- Cilt 107, No 2, 414-430, 1998.
- Yeh, W.C., “A new branch-and-bound approach
- for the n/2/flowshop/αF+βCmax flowshop
- scheduling problem”, Computers and
- Operations Research, Cilt 26, No13, 1293-1310,
- -
- Neppalli, V.R., Chen, C.L. ve Gupta, J.N.D.,
- “Genetic algorihms for the two-stage bicriteria
- flowshop problem”, European Journal of
- Operational Research, Cilt 95, No 2, 356-373,
- -
- Ishibuchi, H. ve Murata, T., “A Multi-objective
- genetic local search algorithm and its application to flowshop scheduling, IEEE Transaction on
- System, Man, and Cybernetics-Part C:
- Applications and Reviews, Cilt 28, No 3, 392-
- ,1998.
- Rajendran C., “Two-stage flow shop scheduling
- problem with bicriteria”, Journal of the
- Operational Research Society, Cilt 43, No 9,
- -884, 1992.
- Gupta, J.N.D., Neppalli, V.R. ve Werner, F.,
- “Minimizing total flow time in a two-machine
- flowshop problem with minimum makespan”,
- International Journal of Production
- Economics, Cilt 69, No 3, 323-338, 2001.
- Sayın, S. ve Karabatı, S., “A bicriteria approach to
- the two-machine flow shop scheduling problem”,
- European Journal of Operational Research,
- Cilt 113, No 2, 435-449, 1999.
- Murata, T., Ishibuchi, H., ve Tanaka, H., “Multiobjective
- genetic algorithm and its applications to
- flowshop scheduling”,Computers and Industrial
- Engineering, Cilt 30, No 4, 957-968, 1996.
- Daniels, R.L. ve Chambers R.J., “Multiobjective
- flow-shop scheduling”, Naval research Logistics,
- Cilt 37, 981-995, 1990.
- Chakravarthy, K. ve Rajendran, C., “A heuristic
- for scheduling in a flowshop with the bicriteria of
- makespan and maximum tardiness minimization”
- Production Planning and Control, Cilt 10, No 7,
- -714, 1999.
- Allahverdi, A., “A new heuristic for m-machine
- flowshop scheduling problem with bicriteria of
- makespan and maximum tardiness”, Computers
- and Operations Research, Cilt 31, No 2, 157-
- , 2004.
- Ishii, H., Tada, M. ve Masuda T., “Two
- scheduling problems with fuzzy due-dates”, Fuzzy
- Sets and Systems, Cilt 46, 339-347, 1992.
- Ishibuchi, H., Yamamoto, N., Murata, T. ve
- Tanaka, H., “Genetic algorithms and
- neighborhood search algorithms for fuzzy
- flowshop scheduling problems”, Fuzzy Sets and
- Systems, Cilt 67, 81-100, 1994.
- Murata, T., Gen, M. ve Ishibuchi, H., “Multi-
- Objective Scheduling with Fuzzy Due-Date”,
- Computers and Industrial Engineering, Cilt 35,
- No 3-4, 439-442, 1998.
- McCahon, C. S. ve Lee, E. S., “Job sequencing
- with fuzzy processing times”, Computers and
- Mathematics with Applications, Cilt 19, No 7,
- -41, 1990.
- McCahon, C. S. ve Lee, E. S., “Fuzzy job
- sequencing for a flow shop”, European Journal
- of Operational Research, Cilt 62, No 3, 294-301,
- -
- Hong, T. ve Chuang, T.N., “A new triangular
- fuzzy johnson algorithm”, Computers and
- Industrial Engineering, Cilt 36, 179-200, 1999.
- Hong, T.P. ve Chuang, T.N., “Fuzzy Palmer
- scheduling for flow shops with more than two
- machines”, Journal of Information Science and
- Engineering, Cilt 15, 397-406, 1999.
- Temiz, İ. ve Erol, S., “Fuzzy branch-and-bound
- algorithm for flow shop scheduling”, Intelligent
- Manufacturing Systems, Cilt 15, No 4, 449-454,
- -
- Balasubramanian, J. ve Grossmann, I.E.,
- “Scheduling optimization under uncertainty-an
- alternative approach”, Computers and Chemical
- Engineering, Cilt 27, 469-490, 2003.
- Cheng, J., Kise, H. and Matsumoto, H., “A
- branch-and-bound algorithm with fuzzy inference
- for a permutation flowshop scheduling problem”,
- European Journal of Operational Research,
- Cilt 96, No 3, 578-590, 1997.
- Akyol, D.E., “Application of neural network to
- heuristic scheduling algorithms”, Computers and
- Industrial Engineering, Cilt 46, No 4, 679-696,
- -
- Petrovic, S. And Song, X., “A new approach to
- two-machine flow shop problem with uncertain
- processing times, Optimization and Engineering,
- Cilt 7, No 3, 329-342, 2006.
- Lai, Y.J. ve Hwang, C.L., Fuzzy Mathematical
- Programming, Springer-Verlag, Berlin, 1992.
- Lee, E. S. ve Li, R. J., “Comparison of fuzzy
- numbers based on probability measure of fuzzy
- events”, Computers and Mathematics with
- Applications, Cilt 15, No 10, 887-896, 1988.
- Tsai, Y.C. ve Chuang, T.N., “A new max operator
- on triangular fuzzy sets”, Journal of The Chinese
- Fuzzy Systems Association, Cilt 5, No 2, 71-78,
- -
- Goldberg, D. E., Genetic Algorithms in Search,
- Optimization, and Machine Learning, Addison-
- Wesley, Reading, 1989.
- Gen, M. and Cheng, R.,Genetic Algorithms and
- Engineering Design, John Wiley & Sons, New
- York, 1997.
- Taillard, E., “Benchmarks for basic scheduling
- problems”, European Journal of Operational
- Research, Cilt 64, No 2, 278-285, 1993.
- Temiz, İ., Bulanık İş ve Teslim Zamanlı Akış
- Tipi Çizelgeleme Problemi için Çok Amaçlı
- Genetik Algoritma, Doktora Tezi, Gazi
- Üniversitesi, Fen Bilimleri Enstitüsü, 2004.
Yıl 2007,
Cilt: 22 Sayı: 4, 0 - , 15.02.2013
İzzettin Temiz
Serpil Erol
Kaynakça
- Pinedo, M., Scheduling:Theory, algorithms, and
- systems, Prentice Hall, New Jersey, A.B.D., 2002.
- Lee, C.E. ve Chou, F.D., “A two-machine
- flowshop scheduling heuristic with bicriteria
- objective”, International Journal of Industrial
- Engineering,Cilt 5, No 2, 128-139, 1998.
- Nagar, A., Heragu, S. ve Haddock, J., “A
- combined branch and bound and genetic algorithm
- based approach for a flowshop scheduling
- problem”, Annals of Operations Research, Cilt
- , 397-414, 1996.
- Şerifoğlu, F.S. ve Ulusoy, G. “A bicriteria twomachine
- permutation flowshop problem”,
- European Journal of Operational Research,
- Cilt 107, No 2, 414-430, 1998.
- Yeh, W.C., “A new branch-and-bound approach
- for the n/2/flowshop/αF+βCmax flowshop
- scheduling problem”, Computers and
- Operations Research, Cilt 26, No13, 1293-1310,
- -
- Neppalli, V.R., Chen, C.L. ve Gupta, J.N.D.,
- “Genetic algorihms for the two-stage bicriteria
- flowshop problem”, European Journal of
- Operational Research, Cilt 95, No 2, 356-373,
- -
- Ishibuchi, H. ve Murata, T., “A Multi-objective
- genetic local search algorithm and its application to flowshop scheduling, IEEE Transaction on
- System, Man, and Cybernetics-Part C:
- Applications and Reviews, Cilt 28, No 3, 392-
- ,1998.
- Rajendran C., “Two-stage flow shop scheduling
- problem with bicriteria”, Journal of the
- Operational Research Society, Cilt 43, No 9,
- -884, 1992.
- Gupta, J.N.D., Neppalli, V.R. ve Werner, F.,
- “Minimizing total flow time in a two-machine
- flowshop problem with minimum makespan”,
- International Journal of Production
- Economics, Cilt 69, No 3, 323-338, 2001.
- Sayın, S. ve Karabatı, S., “A bicriteria approach to
- the two-machine flow shop scheduling problem”,
- European Journal of Operational Research,
- Cilt 113, No 2, 435-449, 1999.
- Murata, T., Ishibuchi, H., ve Tanaka, H., “Multiobjective
- genetic algorithm and its applications to
- flowshop scheduling”,Computers and Industrial
- Engineering, Cilt 30, No 4, 957-968, 1996.
- Daniels, R.L. ve Chambers R.J., “Multiobjective
- flow-shop scheduling”, Naval research Logistics,
- Cilt 37, 981-995, 1990.
- Chakravarthy, K. ve Rajendran, C., “A heuristic
- for scheduling in a flowshop with the bicriteria of
- makespan and maximum tardiness minimization”
- Production Planning and Control, Cilt 10, No 7,
- -714, 1999.
- Allahverdi, A., “A new heuristic for m-machine
- flowshop scheduling problem with bicriteria of
- makespan and maximum tardiness”, Computers
- and Operations Research, Cilt 31, No 2, 157-
- , 2004.
- Ishii, H., Tada, M. ve Masuda T., “Two
- scheduling problems with fuzzy due-dates”, Fuzzy
- Sets and Systems, Cilt 46, 339-347, 1992.
- Ishibuchi, H., Yamamoto, N., Murata, T. ve
- Tanaka, H., “Genetic algorithms and
- neighborhood search algorithms for fuzzy
- flowshop scheduling problems”, Fuzzy Sets and
- Systems, Cilt 67, 81-100, 1994.
- Murata, T., Gen, M. ve Ishibuchi, H., “Multi-
- Objective Scheduling with Fuzzy Due-Date”,
- Computers and Industrial Engineering, Cilt 35,
- No 3-4, 439-442, 1998.
- McCahon, C. S. ve Lee, E. S., “Job sequencing
- with fuzzy processing times”, Computers and
- Mathematics with Applications, Cilt 19, No 7,
- -41, 1990.
- McCahon, C. S. ve Lee, E. S., “Fuzzy job
- sequencing for a flow shop”, European Journal
- of Operational Research, Cilt 62, No 3, 294-301,
- -
- Hong, T. ve Chuang, T.N., “A new triangular
- fuzzy johnson algorithm”, Computers and
- Industrial Engineering, Cilt 36, 179-200, 1999.
- Hong, T.P. ve Chuang, T.N., “Fuzzy Palmer
- scheduling for flow shops with more than two
- machines”, Journal of Information Science and
- Engineering, Cilt 15, 397-406, 1999.
- Temiz, İ. ve Erol, S., “Fuzzy branch-and-bound
- algorithm for flow shop scheduling”, Intelligent
- Manufacturing Systems, Cilt 15, No 4, 449-454,
- -
- Balasubramanian, J. ve Grossmann, I.E.,
- “Scheduling optimization under uncertainty-an
- alternative approach”, Computers and Chemical
- Engineering, Cilt 27, 469-490, 2003.
- Cheng, J., Kise, H. and Matsumoto, H., “A
- branch-and-bound algorithm with fuzzy inference
- for a permutation flowshop scheduling problem”,
- European Journal of Operational Research,
- Cilt 96, No 3, 578-590, 1997.
- Akyol, D.E., “Application of neural network to
- heuristic scheduling algorithms”, Computers and
- Industrial Engineering, Cilt 46, No 4, 679-696,
- -
- Petrovic, S. And Song, X., “A new approach to
- two-machine flow shop problem with uncertain
- processing times, Optimization and Engineering,
- Cilt 7, No 3, 329-342, 2006.
- Lai, Y.J. ve Hwang, C.L., Fuzzy Mathematical
- Programming, Springer-Verlag, Berlin, 1992.
- Lee, E. S. ve Li, R. J., “Comparison of fuzzy
- numbers based on probability measure of fuzzy
- events”, Computers and Mathematics with
- Applications, Cilt 15, No 10, 887-896, 1988.
- Tsai, Y.C. ve Chuang, T.N., “A new max operator
- on triangular fuzzy sets”, Journal of The Chinese
- Fuzzy Systems Association, Cilt 5, No 2, 71-78,
- -
- Goldberg, D. E., Genetic Algorithms in Search,
- Optimization, and Machine Learning, Addison-
- Wesley, Reading, 1989.
- Gen, M. and Cheng, R.,Genetic Algorithms and
- Engineering Design, John Wiley & Sons, New
- York, 1997.
- Taillard, E., “Benchmarks for basic scheduling
- problems”, European Journal of Operational
- Research, Cilt 64, No 2, 278-285, 1993.
- Temiz, İ., Bulanık İş ve Teslim Zamanlı Akış
- Tipi Çizelgeleme Problemi için Çok Amaçlı
- Genetik Algoritma, Doktora Tezi, Gazi
- Üniversitesi, Fen Bilimleri Enstitüsü, 2004.