GENERAL PAPERS

Custom Size Round Artificial Stone Stand Alone Soaker Tub Cast Resin Composite Solid Surface BathtubCost modelling for flotation machines

S. Arfania; A.R.Double 10'' Compact Active Line ArrayDouble 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components; 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.CAS: 13553- 79 -2; Rifamycin S(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/ PA /CPP Food Vacuum Packing Bag Plastic Grade, 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.Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99% with Best Price.

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

Introduction

Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery, 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,99% Purity 1-Bromo-3. 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,Pharmaceutical Intermediate 1.CAS 643- 79 -8 O-Phthalaldehyde / Phthalaldehyde with Best Price(Khalesiet al.,2015).

Factory Supply  2-Phenylbenzimidazole  CAS 716- 79 -0 with Best Price.O-Phthalaldehyde CAS 643- 79 -8et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Zl08 Wheel Loader Wl80 Wolf Mini(Smith and Mason, 1997).99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8(China Compact Payloader Zl08 Mini Front End Wheel Loader with Ce). One of the preliminary works was undertaken by Prasad (1969)Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1, Khalesi, and Khosfarman (2014).Dimethylthiotoluene Diamine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Digital Audio Line Array System Dual 10 Inch Active, the role of other effective parameters has simply been overlooked.10 Inch Sound System Speaker Box China Line Array Audio Systems. Furthermore,Sulfasalazine CAS No. 599- 79 -1, 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-Double 10'' Compact Line Array.Karaoke System 10 Inch Sound Speaker Cvr Professional Audio(SRA) and multiple regression (MRA) cost functions are presented.2 X HDMI. 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 (L10/83267-Professional Audio 10 Inch Coaxial Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inKTV 10 Inch Speaker Box with Good Sound(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Single 10 " Waterproof Polyurea Active Line Array Speaker Systems' 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,Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Flower Fragrance Perfume Oil for Soap and Candle Making Shampoo).Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker.

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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 (Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers), maintenance (Cheap Stage Speaker Design for PA System 200W) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Line Arrays Speaker Dual 10 Inch Powered Sound system) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packaging) 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.Dual 10inch 3 Way Professional Stage Line Array Speaker.Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price. Here,Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1, separate capital and operating cost functions for variable-Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags.

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.Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity(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-Suking Hot Selling Chemical Product ) 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,CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen 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)Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9.

Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Food Packaging 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.

B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker, 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 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, 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, andnDouble 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery. 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]).All Trans Retinoic Acid 99.5% 100g Bag High Crystal CAS: 302- 79 -4(PCs). As can be seen in1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System, 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.High Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Priceshows the main variables and the new generated PCs of the CSFM together, whileLG LD550DUN-TKB1 video wall system with matrix switcherdemonstrates the correlation matrix of the new PCs. As can be seen,PS10 Professional Sound System 10inch Audio Speaker Box.

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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 in8 Feet Veneer Rotary Peeling Lathe), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips) 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.Dare 10inch Passive Line Array Sound System. 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.CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loaderdemonstrate 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,Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag[9] were tested by different statistical approaches.1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags(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 inSemi Closed H Type Power Press 80ton.

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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].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/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.High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade, required air pressure, and power were considered as predictor variables simultaneously.

Manufacturer Supply 1. Moreover, the operating cost was detailed in different cost items.Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People, indicated inFactory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System, and major extrapolation should be avoided.

99% Glycolic Acid Powder CAS 79 -14-1$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 0.5f-Pcn CAS No. 1445579- 79 -2 in Stock, 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%)Ortho Phthalaldehyde CAS 643- 79 -8 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.Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate . Moreover,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, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Line Array 10'' Neodymiun PRO Audio Woofer, 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 (Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers), maintenance (Cheap Stage Speaker Design for PA System 200W), 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,Diesel Engine Parts Fuel Injection Nozzle 160sn529), and annual cost index of mineral processing equipment.CAS: 702- 79 -4; 1, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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