EN
VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS
Abstract
Over the years, column generation based algorithms such as branch and price
have been the preferred solution techniques for the classical cutting stock problem
(CSP). However, most cutting stock problems encountered in the real world are
variants of the classical CSP with many more complexities. The exact algorithms
have been found wanting for these variant problems such as cutting stock with
knives setup considerations, pattern minimization, ordered cutting stock, order
spread minimization, minimization of open stacks, CSP with contiguity, CSP with
due dates and service level considerations, CSP with multiple objectives and
integration of the cutting stock problem with other production processes. This
paper studies the cutting stock variants with an emphasis on the optimality of
solutions obtained by the approximate methods.
Keywords
Kaynakça
- Araujo, S. A., Constantino, A. A., & Poldi, K. C. (2011). An evolutionary algorithm for the one-dimensional cutting stock problem. International Transactions in Operational Research, 18, 115-127.
- Becceneri, J., Yanasse, H., & Soma, N. (2004). A method for solving the minimization of the maximum number of open stacks problem within a cutting process. Computers & operations research, 31(14), 2315-2332.
- Chen, C., Hart, S., & Tham, W. (1996). A simulated annealing heuristic for the one-dimensional cutting stock problem. European journal of operational research, 93(3), 522-535.
- Chiong, R., & Beng, O. K. (2007). A comparison between Genetic algorithms and Evolutionary Programming based on Cutting Stock Problem. Engineering Letters, 14:1.
- Falkenauer, E. (1996). A hybrid grouping genetic algorithm for bin packing. Journal of Heuristics, 2(1), 5-30. doi: 10.1007/bf00226291
- Foerster, H., & Wascher, G. (1998). Simulated annealing for order spread minimization in sequencing cutting patterns. European journal of operational research, 110(2), 272-281.
- Foerster, H., & Wascher, G. (2000). Pattern reduction in one-dimensional cutting stock problems. International journal of production research, 38(7), 1657- 1676.
- Gau, T., & Wascher, G. (1995). CUTGEN1: A problem generator for the standard one-dimensional cutting stock problem. European journal of operational research, 84(3), 572-579.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
-
Yayımlanma Tarihi
1 Aralık 2013
Gönderilme Tarihi
1 Aralık 2013
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2013 Cilt: 5 Sayı: 2
APA
Malik, M. M., Taplin, J. H., & Qiu, M. (2013). VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS. International Journal of Economics and Finance Studies, 5(2), 45-54. https://izlik.org/JA92PS28JR
AMA
1.Malik MM, Taplin JH, Qiu M. VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS. IJEFS. 2013;5(2):45-54. https://izlik.org/JA92PS28JR
Chicago
Malik, M. M., J. H. Taplin, ve M. Qiu. 2013. “VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS”. International Journal of Economics and Finance Studies 5 (2): 45-54. https://izlik.org/JA92PS28JR.
EndNote
Malik MM, Taplin JH, Qiu M (01 Aralık 2013) VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS. International Journal of Economics and Finance Studies 5 2 45–54.
IEEE
[1]M. M. Malik, J. H. Taplin, ve M. Qiu, “VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS”, IJEFS, c. 5, sy 2, ss. 45–54, Ara. 2013, [çevrimiçi]. Erişim adresi: https://izlik.org/JA92PS28JR
ISNAD
Malik, M. M. - Taplin, J. H. - Qiu, M. “VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS”. International Journal of Economics and Finance Studies 5/2 (01 Aralık 2013): 45-54. https://izlik.org/JA92PS28JR.
JAMA
1.Malik MM, Taplin JH, Qiu M. VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS. IJEFS. 2013;5:45–54.
MLA
Malik, M. M., vd. “VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS”. International Journal of Economics and Finance Studies, c. 5, sy 2, Aralık 2013, ss. 45-54, https://izlik.org/JA92PS28JR.
Vancouver
1.M. M. Malik, J. H. Taplin, M. Qiu. VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS. IJEFS [Internet]. 01 Aralık 2013;5(2):45-54. Erişim adresi: https://izlik.org/JA92PS28JR