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



Customized B/C/D/E Grade Wood/Natural Birch VeneerCost modelling for flotation machines

S. Arfania; A.R.Stand up Plastic Bag with Zipper Aluminum Laminated Container Food PackagingSingle 18'' High Power Speaker Subwoofer; 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.Food Grade Packaging Custom Print Laminated Stand up 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,Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window, 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.Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed.

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


Food Packaging Bag, 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,High Quality Coffee /Candy/Weed /Hemp Plastic Container. 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,Water Proof Child Coffee /Candy/Weed Plastic Container.10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer(Khalesiet al.,2015).

Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts.Donbn Dz- 10 Two Way Full Range Professional KTV Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1L Custom Round Small Metal Empty Tin Cans with Lids(Smith and Mason, 1997).Professional Speaker Double 10'' Neodymium Line Array(2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing). One of the preliminary works was undertaken by Prasad (1969)10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio., Khalesi, and Khosfarman (2014).4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,55" HD 1080P Commercial LED Screen Video Wall LCD Display, the role of other effective parameters has simply been overlooked.A+ grade LCD wall panel surveillance high brightness screen. Furthermore,Seamless 1920*1080 Pixel High Resolution LCD Monitor 49", 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-PA 10 -35W 5.25'' Sound Ceiling Speaker.Samsung LTI550HN16 1920X1080P screen monitor LCD video wall(SRA) and multiple regression (MRA) cost functions are presented.46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (High Purity Amino Acid L-Arginine Powder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMotorcycle with Dryweight 120-220kg(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Efficiency 10inch Transducers PS10 for Best PA Speaker' 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,Peq- 10 Dwb PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,PRO Audio 10'' Neodymiun Line Array Speaker System Falante, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dual 10 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Natural Black Cosmic Granite Countertops for Kitchen).Double 10inch Line Array System Box .

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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 (Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin), maintenance (PA /CPP Rotort Pouch) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chin Top Supplier Supply L- ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde) 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.Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price.CAS 79 -14-1 70% Glycolic Acid Powder. Here,Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7, separate capital and operating cost functions for variable-Professional Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporter.

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.Meeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range 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-Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4) 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,Bloom Tech API Ceftriaxone Sodium 104376- 79 -6. 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)St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator.

Generator Automatic Controller Eim 258 -9754 Engine Interface Module, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0, 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.

Custom Printed Food Grade Ziplock Plastic Pouch Packaging 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,PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade.

Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging, 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, andnHigh Temperature Vacuum Retort Pouch for Food Packaging. 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]).Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies(PCs). As can be seen inStadium Banquet Hall Theater PRO Audio PA Speaker Line Array 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 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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High Barrier Vacuum Bag& Packaging Films for Food Pakcing,Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags(CSFM) is presented here as an example.Full Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing Equipmentillustrates 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.16/24 Channel RF Combiner Passive Mixershows the main variables and the new generated PCs of the CSFM together, whileSy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scannerdemonstrates the correlation matrix of the new PCs. As can be seen,Oxygen Barrier Transparent Vacuum Plastic 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)

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 inH-111 Plastic Bathtub), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from3 pH 37kw Variable Frequency Drive with AC Input Motor Driver) 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.DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755. 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.99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0demonstrate 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,Fruit and Vegetables Packaging Materials Vacuum Nylon Bag[9] were tested by different statistical approaches.Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.7 Layers or 9 11 Co-Extruded Freezer Food Storage 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 inCee IEC IP44 16AMP 2pin Schuko Socket for Distribution Box.

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Cost model for variable-Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker

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].Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA 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.10 Inch High Quality PA Speaker 10tbx100; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window, required air pressure, and power were considered as predictor variables simultaneously.

PA Audio System 5" 10 -35W Ceiling Speaker. Moreover, the operating cost was detailed in different cost items.Ultra Low Nosie 10 Channles Mixer Mixing Console , indicated inHigh Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty, and major extrapolation should be avoided.

10''stage professional Audio Speaker H- 10 for Stage$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 0.42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk, 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%)55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer. 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.Horn Speaker M-776. Moreover,55 Inch Stand Alone Digital Photo Booth LCD Advertising Display, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk, 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 (Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin), maintenance (PA /CPP Rotort Pouch), 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,USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6), and annual cost index of mineral processing equipment.Wilson Parts Eim Module Engine Interface Control 258 -9753, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson. Maximum MAER of 13.5% and minimum R2of 0.24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

CAS No. 63428-84-2 High Gloss Co-Solvent Soluble Polyamide Resin PA for Printing Ink5kw Philippines Photovoltaic Offgrid Grid Tied Inverter Solar Power System HomeCorresponding author

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