VARIANTS OF THE CUTTING STOCK PROBLEM AND THE SOLUTION METHODS

Cilt: 5 Sayı: 2 1 Aralık 2013
  • M. M. Malik
  • J. H. Taplin
  • M. Qiu
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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

  1. 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.
  2. 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.
  3. 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.
  4. Chiong, R., & Beng, O. K. (2007). A comparison between Genetic algorithms and Evolutionary Programming based on Cutting Stock Problem. Engineering Letters, 14:1.
  5. Falkenauer, E. (1996). A hybrid grouping genetic algorithm for bin packing. Journal of Heuristics, 2(1), 5-30. doi: 10.1007/bf00226291
  6. Foerster, H., & Wascher, G. (1998). Simulated annealing for order spread minimization in sequencing cutting patterns. European journal of operational research, 110(2), 272-281.
  7. Foerster, H., & Wascher, G. (2000). Pattern reduction in one-dimensional cutting stock problems. International journal of production research, 38(7), 1657- 1676.
  8. 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

-

Yazarlar

M. M. Malik Bu kişi benim

J. H. Taplin Bu kişi benim

Yayımlanma Tarihi

1 Aralık 2013

Gönderilme Tarihi

1 Aralık 2013

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2013 Cilt: 5 Sayı: 2

Kaynak Göster

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