GENERAL PAPERS

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S. Arfania; A.R.3X3 video wall LCD HD 1080P digital display screen15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor; M.R. Khalesi

Tarbiat Modares University, Iran

SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Food Saver High Transparent Vacuum Plastic Bag(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Cvr 2021 New 10'' Line Array Professional, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R², MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R²of 0.10'' Red Steel Woofer.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.

Introduction

Single 10 Inch Two Way Professional Passive Coaxial Monitor Speaker, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermetic. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Waterproof Outdoor Dual 10 " Line Array.Aluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food with Zipper(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (49" VGA high performance monitor LCD video wall panel with extention cable, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNatural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;LG LD490DUN-TJB2 LCD wall mount video with 2X2 panel' names:

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►Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,LG LD550DUN-TKB1 video wall system with matrix switcher

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Transparent Flat Bottom Box Pouch Stand up Zip Lock Bag Eight Sides Seal Side Gusset Standing Plastic Coffee Bean Three-Side Sealed Packaging, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Transparent Flat Bottom Box Pouch Stand up Zip Lock Eight Sides Seal Bag Side Gusset Standing Plastic Clear Coffee Bags Manufacturer Reusable PE Pet Food(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Speed Wood Veneer Peeling Machine for Plywood/ Plywood Cutting).Laser Aluminum Resealable Value Pack Stand up Zip Lock Bag Hologram Self Seal Zipper Plastic Sealing Digital Food Packaging Mylar Paper Glossy.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250W), maintenance (Prfessional Audio 10''karaoke Loudspeaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,10 Inch KTV System Woofer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Container) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Laminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Container) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.10 Inch Compact Line Array PRO Audio.10 Inch Indoor Outdoor Professional Loudspeaker. Here,99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9, separate capital and operating cost functions for variable-Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives.

Thiosemicarbazide CAS 79 -19-6, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (O-Phthalaldehyde CAS 643- 79 -8, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price, R², RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R²is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub.

Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers, analysis of residuals, tests of MAER values and evaluation of R²were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereC_eis the estimated cost,C_athe actual cost, andn1-Bromo-3. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Low Price 4(PCs). As can be seen in220VDC to 220VAC Variable Frequency Inverter, neitherX₁norX₂is the main direction of the data, while the ellipse with main diameters PC₁and PC₂matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8shows the main variables and the new generated PCs of the CSFM together, while10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth demonstrates the correlation matrix of the new PCs. As can be seen,Custom Printed Food Grade Ziplock Packing Bag.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in10oz Glass Milk Bottles with Leak Proof Lids), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromWhole Sale Home Antique Style Large Acrylic Freestanding Bathtub) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container. The R²is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5demonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie[9] were tested by different statistical approaches.250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag(a1, a₂, a₃) and new intercept (a₀) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inHigh Tech 3D CCD Laser Wheel Alignment.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].10 Active Full Range Stage Sound Loud Speaker System Audio/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Two Way 10 " Mini Portable PRO Audio Active Loudspeaker PS10; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cvr 2021 New 10'' Line Array Professional, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Single 10'' Two Way Line Array PRO Audio, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R²values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Double 10 Inch Line Array PRO Audio . In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD. Moreover,Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250W), maintenance (Prfessional Audio 10''karaoke Loudspeaker), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nut), and annual cost index of mineral processing equipment.High Quality Oxytetracycline Powder 100% CAS 79 -57-2, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,CAS: 79 -44-7; Dimethylcarbamoyl Chloride;. Maximum MAER of 13.5% and minimum R²of 0.Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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