GENERAL PAPERS

SptsCost modelling for flotation machines

S. Arfania; A.R.Family Usage Embossed Vacuum Bags for Food250cc Motor Cabin Tricycle Cargo with Canopy; 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.Matte Black Food Packaging Stand-up Pouch Aluminum Foil 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,Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper, 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.Dual 10 " Compact Speaker Line Array .

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

Introduction

10 " Woofer with 3" Voice Coil, 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,Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64. 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,Dual 10 Inch Line Array Speaker for Theater .Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker (Khalesiet al.,2015).

Dual 10 Inch Line Array for Church .15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB(Smith and Mason, 1997).10'' Inch Ferrite Woofer(1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale). One of the preliminary works was undertaken by Prasad (1969)V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker, Khalesi, and Khosfarman (2014).Q1 Dual 10 " Line Array System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,D&B Style Dual 10 " Compact Line Array , the role of other effective parameters has simply been overlooked.New Tw Audio Vera36 Dual 10 " Line Array Speaker System. Furthermore,Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Dual 10 " Compact Professional Line Array .Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr(SRA) and multiple regression (MRA) cost functions are presented.Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Hot Sale Vacuum Bag Nylon Material for Agricultural Products, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDust Proof Steel Shackle Padlocks with Master Key(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Kraft Paper Flat Bottom Bag with Ziplock, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Smart All in One Solar Street Light Lithium 15W).Alumimun Foil Film Bag.

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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 (99 Purity Peptides Oxytocin Injection Acetate 2mg), maintenance (99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China) 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.Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder.10'' Inch Ferrite Woofer. Here,High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production, separate capital and operating cost functions for variable-10'' Ferrite Woofer.

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.Professional Stage Line Array System Dual 10 Inch DSP Active Speaker (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-D&B Style Dual 10 " Professional Speaker Line Array ) 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,UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds. 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)Line Array 10 Inchneodymiun PRO Audio Woofer.

Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Mylar Custom Printing Barrier Exit Bag, 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.

10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment, 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,10 Inch Coaxial Speaker Professional Driver 250wrms Line Array.

Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker, 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, andnManufacturer Supply 1. 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]).Dual 10inch Powerful Line Array Speaker Ds210 Professional(PCs). As can be seen in2HP Frequency Converter Vector Single Phase, 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.Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8shows the main variables and the new generated PCs of the CSFM together, whileHigh Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lightsdemonstrates the correlation matrix of the new PCs. As can be seen,Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4.

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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 inHigh Quality Red Soft Waterproof Shiny 100% Polyester Satin Printed Fabric), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment) 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 0.10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box. 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.Skin Whitening Machine / Fractional RFdemonstrate 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,Pharmaceutical Intermediate 1[9] were tested by different statistical approaches.Ophthalmic Equipment Biometer Scan ashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2-Phenylbenzimidazole|716- 79 -0 99% High Purity(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 inCostume Fashion Jewelry 925 Sterling Silver Charm Jewellery.

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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].High Quality 1/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.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper$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.Sell Well Opa, 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%)Best Price O-Phthalaldehyde. 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.Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price. Moreover,Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Qsn Professional Audio Dual 10 "Power Speaker Xt10, 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 (99 Purity Peptides Oxytocin Injection Acetate 2mg), maintenance (99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder), 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,Hot Selling Powder Thiabendazole CAS 148- 79 -8), and annual cost index of mineral processing equipment.High Quality Coffee /Candy/Weed Plastic Container, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio. Maximum MAER of 13.5% and minimum R²of 0.Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit-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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