Production Scheduling under Fuzziness for the Furnace - Casting Line System

• Autorzy: Duda J. , Stawowy A.

Identyfikatory

DOI

10.1515/afe-2015-0074

• Języki publikacji: EN

Abstrakty

EN

The problem considered in the paper is motivated by production planning in a foundry equipped with a furnace and a casting line, which provides a variety of castings in various grades of cast iron/steel for a large number of customers. The goal is to create the order of the melted metal loads to prevent delays in delivery of goods to customers. This problem is generally considered as a lot-sizing and scheduling problem. However, contrary to the classic approach, we assumed the fuzzy nature of the demand set for a given day. The paper describes a genetic algorithm adapted to take into account the fuzzy parameters of simultaneous grouping and scheduling tasks and presents the results achieved by the algorithm for example test problem.

Słowa kluczowe

EN

information technology; foundry industry; production planning; production scheduling; fuzzy number

PL

technologia informatyczna; przemysł odlewniczy; planowanie produkcji; harmonogramowanie produkcji; liczba rozmyta

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2015
• Tom: Vol. 15, iss. 4
• Strony: 29--32
• Opis fizyczny: Bibliogr. 8 poz., tab.

Twórcy

autor

Duda J.

• AGH University of Science and Technology, Faculty of Management, Gramatyka 10, 30-067 Krakow, Poland

autor

Stawowy A.

• AGH University of Science and Technology, Faculty of Management, Gramatyka 10, 30-067 Krakow, Poland

Bibliografia

• [1] de Araujo, S.A., Arenales, M.N. & Clark, A.R. (2008). Lot sizing and furnace scheduling in small foundries. Computers & Operations Research. 35(3), 916-932. DOI: 10.1016/j.cor.2006.05.010.
• [2] Bortolan, G. & Degani, R. (1985). A review of some methods for ranking fuzzy subsets. Fuzzy Sets and Systems. 15(1), 1-19.
• [3] Duda, J. (2005). Lot-sizing in a foundry using genetic algorithm and repair functions. Evolutionary Computation in Combinatorial Optimization (101-111). Berlin Heilderberg: Springer-Verlang.
• [4] Goren, H., Tunali, S. & Jans, R. (2010). A review of applications of genetic algorithms in lot sizing. Journal of Intelligent Manufacturing. 21(4), 575-590. DOI: 10.1007/s10845-008-0205-2.
• [5] Rezaei, J. & Davoodi, M. (2006). Genetic algorithm for inventory lot-sizing with supplier selection under fuzzy demand and costs. In Advances in Applied Artificial Intelligence (1100-1110). Berlin Heilderberg: Springer-Verlang.
• [6] Sahebjamnia, N. & Torabi S. A. (2014). A fuzzy stochastic programming approach for multi-level capacitated lot-sizing problem under uncertainty. In Recent Developments and New Directions in Soft Computing (393-407). Berlin Heilderberg: Springer International Publishing.
• [7] Stawowy, A. & Duda, J. (2013). Production scheduling for the furnace - casting line system. Archives of Foundry Engineering. 13(3), 84-87. DOI: 10.2478/afe-2013-0065.
• [8] Yan, W., Zhao, J. & Cao, Z. (2005). Fuzzy programming model for lot sizing production planning problem. In Fuzzy Systems and Knowledge Discovery (285-294). Berlin Heilderberg: Springer-Verlang.