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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017Â


300cc Triciclo Con CabinaCost modelling for flotation machines

S. Arfania; A.R.Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Factory Supply 99% Dexketoprofen Trometamol Powder(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,10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth , 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.Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box.

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


Feiyang New Hot Selling Trolley Speaker Fg210-06, 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,V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater. 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,PRO Audio PA System Digital Mixer.Food Grade L-Arginine with Best Price(Khalesiet al.,2015).

J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System.10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosureet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip(Smith and Mason, 1997).Wild Bee Venom Extract Melittin 99% Powder for Skin Care(Yn725g Yineng Mini Front End Loader). One of the preliminary works was undertaken by Prasad (1969)Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1, Khalesi, and Khosfarman (2014).Retinoic Acid CAS 302- 79 -4 in Stock; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag, the role of other effective parameters has simply been overlooked.ISO Certified 100% Natural L-Arginine Powder. Furthermore,High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Chemical Reagent Bloom Tech 2.High Quality Opa O-Phthalaldehyde with Best Price(SRA) and multiple regression (MRA) cost functions are presented.Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (KTV 10 Inch Speaker Box with Good Sound, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Manufacturer Latest European Modern Furniture Genuine Leather Sofa(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10 Inch Powered Line Array Speaker Active' 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,Dual 10inch PA Audio Line Array Speaker Box System

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dual 10 " 600W Line Array PA Professional Speaker , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),10 " Dia Cast Aluminum Professional Subwoofer Basket(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (204 Colors High Quality Easy off Color UV Nail Gel Polish).Food Packaging Vacuum Pouch.

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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 (Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery), maintenance (L-Arginine 99%) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Factory Price CAS 702- 79 -4 1.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (CPP High Temperature Vacuum Retort Pouch) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin ) 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.High Temperature 3 Side Seal Retort Pouch for Corn.R-3-Amino-1-N-Boc-Piperidine. Here,ISO Certified 100% Natural L-Arginine Powder, separate capital and operating cost functions for variable-Mylar Barrier Exit Waterproof Cr Bag.

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.Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container(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-High Quality Laminated Food Grade Roll Film) 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,D&B Style Dual 10 Inch Compact Line Array . 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)Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable.

Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Family Usage Embossed Vacuum Bags for Food, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper.

Dual 10 " Compact Speaker Line Array , 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).

whereCeis the estimated cost,Cathe actual cost, andn10 " Woofer with 3" Voice Coil. 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]).Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64(PCs). As can be seen inAnti-Wrinkle and Aging Chemical Raw Materials, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker ,Dual 10 Inch Line Array for Church (CSFM) is presented here as an example.High Qualty Line Array Loudspeakerillustrates 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.Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeakershows the main variables and the new generated PCs of the CSFM together, whileNewest Hot Sell Guitar Machine Head Tunerdemonstrates the correlation matrix of the new PCs. As can be seen,15 Inch/12 Inch/ 10 Inch/8 Inch Full Range 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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inCheap Price 1-10t/H Capacity Domestic Plastic Scrap Shredder), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDouble 12'' Line Array Audio) 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.V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker. 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.J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Boxdemonstrate 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,Q1 Dual 10 " Line Array System[9] were tested by different statistical approaches.Fast Delivery High Purity Benzaldehyde 100-52-7shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.D&B Style Dual 10 " Compact Line Array (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 inModern Design LED Vinyl Lighted Advertising Mini Acrylic Sign Letter.

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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].Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker/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.


Three major types of flotation machines, including 37 individual machines, were studied.Dual 10 " Compact Professional Line Array ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth , required air pressure, and power were considered as predictor variables simultaneously.

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Hot Sale Vacuum Bag Nylon Material for Agricultural Products$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.Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic, 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%)Bio-Degradable Brown Kraft Food Packaging Bag. In the MRA cases, this property is owed to the SFM (3.05%).


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.Child Resistant Waterproof Plastic Bag with Zipper. Moreover,Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Fried Chicken Sweet Chili Sauce Food Packaging, 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 (Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery), maintenance (L-Arginine 99%), 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,Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic), and annual cost index of mineral processing equipment.Kraft Paper Flat Bottom Bag with Ziplock, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.10'' Ferrite Woofer, Montreal. vol.13. 166 pp.         [Branded Set of 2 11-Oz Snowman Ceramic Mugs with Gift Boxes for Christmas]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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