X-R Kontrol Kartları ve Çok Boyutlu Ölçekleme Analizi Kullanılarak Çayeli Bakır İşletmelerinin İstatistiksel Proses Kontrolü

Abstract

Çinko ve bakır cevherlerinin besleme malı, konsantre ve atıkları çok boyutlu ölçekleme analizi ile incelenmiştir. X-R analizine göre bakır (besleme malı, konsantre ve artık) için hesaplanan 〖LCL_X,UCL〗_X and UCL_R değerleri sırasıyla 1.94, 16.92, 0.16; 2.96, 22.90, 0.41 ve 0.89, 5.19, 0.21’dir. Benzer şekilde, çinko için bu değerler sırasıyla 0.31, 43.46, 0.23; 3.00, 50.33, 0.66 ve 2.34, 5.97, 0.37’dir. Hesaplanan Cp bakır ve çinko değerleri sırasıyla 2,08, 1,42, 1,39 ve 1,82, 1,54 ve 1,25'tir. Bakır ve çinkonun besleme malı, konsantre ve atık parametreleri 1,0'den büyüktür. Benzer şekilde, bu çalışma bakır ve çinko için hesaplanan Cpk değerlerinin (2,15, 1,20 ve 1,72 ; 3,82, 1,05 ve 1,53) 1,0'den büyük olduğunu göstermektedir. Stress değerleri, analizin ilk aşamasında hesaplanmış ve bakır ve çinko için sırasıyla 0,00258 ve 0,00674'te belirlenmiştir. Bununla birlikte RSQ, sırasıyla bakır ve çinko için 0,9998 ve 0,9986 olarak hesaplanmıştır. Bu değerler faktörler arasında yüksek bir korelasyon olduğunu göstermiştir. Son olarak, bu çalışma Çayeli Bakır İşletmelerinde karar vericilere yardımcı olmak için ortalama ve aralık kontrol çizelgeleri, süreç doğruluk indeksleri ve çok boyutlu ölçekleme analizi gibi istatistiksel işlem kontrol tekniklerinin kullanışlılığını göstermiştir.

Keywords

• bakır
• kontrol kartları
• çok boyutlu ölçekleme analizi
• süreç doğruluk indeksleri
• çinko

Statistical Process Control for Çayeli Copper Companies using X-R Control Charts and Multidimensional Scaling Analysis

Abstract

The feeding materials, concentrates and tailings of zinc and copper ores were examined by multidimensional scaling analysis. The calculated 〖LCL_X,UCL〗_X and UCL_R values for copper (feeding material, concentrate, and tailing) according to X-R analysis are 1.94, 16.92, 0.16; 2.96, 22.90, 0.41 and 0.89, 5.19, 0.21 respectively. Likewise, these values for zinc are 0.31, 43.46, 0.23; 3.00, 50.33, 0.66 and 2.34, 5.97, 0.37 respectively. The calculated Cp copper and zinc values are 2.08, 1.42, 1.39 and 1.82, 1.54, 1.25 respectively. The feeding material, concentrate, and tailing parameters of the copper and zinc products are greater than 1.0. Likewise, this study shows that the calculated Cpk values for copper and zinc (2.15, 1.20, 1.72 and 3.82, 1.05, 1.53 respectively) are larger than 1. Stress value was calculated at the first step of the analysis and established at 0.00258 and 0.00674 for copper and zinc, respectively, which indicates a fair fit for both. Nevertheless, the coefficient of determination (RSQ) was calculated as 0.9998 and 0.9986 for copper and zinc, respectively. These values indicated a high correlation between factors. Finally, this study showed that the usefulness of statistical process control techniques, such as mean and range control charts, process capability indexes and multidimensional scaling analysis, in helping decision makers in Çayeli Copper Companies.

Keywords

• copper
• control charts
• multidimensional scaling analysis
• process capability indexes
• zinc

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