GENERAL PAPERS

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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.Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System(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,PE Dog Food Pouch with Hole, 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 Inch Line Array for Concert Live Service .

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

Introduction

Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System, 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,Double 10'' Compact Active Line Array. 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,CAS: 13553- 79 -2; Rifamycin S.PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (10 Inch Sound System Speaker Box China Line Array Audio Systems, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725 Yineng Mini Wheel Loader 18.5kw(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Sulfasalazine CAS No. 599- 79 -1' 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,Single 10 " Waterproof Polyurea Active Line Array Speaker Systems

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Airtight Child Pop up Squeeze Plastic Stand Flat Bottom Pet Cat Food Packaging Bag, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Two-Way Single 10 " Professional Waterproof Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Snow Melting Agent Desiccant 74% 94% Calcium Chloride).Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply.

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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 (Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine), maintenance (Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker) 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.Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers.Cheap Stage Speaker Design for PA System 200W. Here,Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder, separate capital and operating cost functions for variable-Line Arrays Speaker Dual 10 Inch Powered Sound system.

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.8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packaging(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-Dual 10inch 3 Way Professional Stage Line Array Speaker) 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,Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price. 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)Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1.

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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.

Suking Hot Selling Chemical Product , 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,CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen Powder.

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whereC_eis the estimated cost,C_athe actual cost, andnPharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7. 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]).Food Packaging Bag(PCs). As can be seen inHigh Purity 2, 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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PRO Audio Double 10 Inch Line Array Speaker Professional Outdoor PA System,Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags(CSFM) is presented here as an example.PA Speaker Dual 18" Subwoofer Systemillustrates the high correlation between predictor variables for the CSFM.

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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.Solvent Violet 9 shows the main variables and the new generated PCs of the CSFM together, whileFarwell P-Hydroxy Benzaldehyde with High Purity 99.5%demonstrates the correlation matrix of the new PCs. As can be seen,Double 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery.

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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 inMekeem Factory Supply Tomato Extract Lycopene Price), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from18watt Resin Filled Wall Mounted Swimming Pool Lamp with Two Years Warranty) 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.Line Array Speaker PRO Audio System 10'' Neodymium Loudspeaker. 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.China Supplier 1demonstrate 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,Professional Audio Speaker System Dual 10 Inch 3 Way Big Line Array Vr36[9] were tested by different statistical approaches.Free Sample 5GHz Antenna Rubber Gainshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Line Array System Dual 10 Inch 3 Way Passive(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 inNew Arrival Single One Person Bathtub with Balboa System.

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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].Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone/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.Dare 10inch Passive Line Array Sound System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PE Dog Food Pouch with Hole, required air pressure, and power were considered as predictor variables simultaneously.

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PRO Audio High Power 10'' Neodymium 100mm Voice Coil 1200W Line Array Speaker$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.Heat Seal Candy Snack Food Packaging Ny PE Pet Custom Plastic Stand up Pouch Doypack Free Design Rice Bottle Smell Proof Soft Touch Aluminum Vitamin Cookie Bag, 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%)High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3. 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.Manufacturer Supply 1. Moreover,Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (99% Glycolic Acid Powder CAS 79 -14-1, 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 (Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine), maintenance (Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance), 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,5f-Pcn CAS No. 1445579- 79 -2 in Stock), and annual cost index of mineral processing equipment.Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate . Maximum MAER of 13.5% and minimum R²of 0.Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Plastic 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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