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


Kas 12 3 Way Sound System Line Array PRO Speakers with SubwooferCost modelling for flotation machines

S. Arfania; A.R.Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags1L Plastic Trigger Sprayer Bottle with Spray; 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.Oxygen Barrier Transparent Vacuum Plastic 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,Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker, 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.DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755.

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


Fruit and Vegetables Packaging Materials Vacuum Nylon 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,7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag. 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,Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker .Leisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA Speaker(Khalesiet al.,2015).

10 Inch High Quality PA Speaker 10tbx100.PA Audio System 5" 10 -35W Ceiling Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Battery(Smith and Mason, 1997).Ultra Low Nosie 10 Channles Mixer Mixing Console (20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18). One of the preliminary works was undertaken by Prasad (1969)10''stage professional Audio Speaker H- 10 for Stage, Khalesi, and Khosfarman (2014).42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer, the role of other effective parameters has simply been overlooked.Horn Speaker M-776. Furthermore,55 Inch Stand Alone Digital Photo Booth LCD Advertising Display, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk.USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6(SRA) and multiple regression (MRA) cost functions are presented.Wilson Parts Eim Module Engine Interface Control 258 -9753. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMotorbicycle with Efi Fuel Supply and Steel Tube Frame(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator' 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,CAS: 79 -44-7 Dimethylcarbamoyl Chloride

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Model Metal Frame Dining Chair Vintage).Good Quality CAS: 97240- 79 -4 Topiramate Powder Price.

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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 (High Purity 99% Intermediate 1), maintenance (Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone Powder) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Tretinoin with Good Price .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755) 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 Purity Organic Intermediate  1.Generator Interface Module Eim Basic 258 -9753 for Fg Wilson Engine. Here,Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control, separate capital and operating cost functions for variable-Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V.

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.Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V(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-5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator) 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,Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753. 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)Engine Controller Model Eim Basic 258 -9756.

Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754, 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.

100% Copper Wire St Series Single Phase Generator / Alternator , 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,China Supplier 1.

100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator , 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, andnStc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator. 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]).24kVA St Series Single Phase Generator (PCs). As can be seen inLaswim Swim SPA Endless Swimming Pool Whirlpool Bathtub, 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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20kVA St Series Single Phase Generator ,PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box.(CSFM) is presented here as an example.Top Selling Polyurethane Adhesive Resinillustrates 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.Birch Plywood 2-Way Crossover Passive Loudspeaker shows the main variables and the new generated PCs of the CSFM together, whileMotor Cargo Tricycle for 2-3ton Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,7.5kVA St Series Single Phase Generator .

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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 inCar Emblem with Letter Lx21), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLlantas High Quality L5 OTR Tyre 26.5-25) 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 0.2 Way Passive 10 " Professional PRO Audio PA Line Array. 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.5150-5850MHz Sector Panel Antenna 2*17dBidemonstrate 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,Stc Series Three Phase Dynamo Generator [9] were tested by different statistical approaches.Weight Loss Raw Powder Rimonabant with Good Effects 168273-06-1shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder(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 inCold Rolled SPCC Spcd Flat Steel Coated Plate.

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Cost model for variable-Stc Series Three Phase Dynamo Generator

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].CAS: 74- 79 -3 Amino Acid L-Arginine/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.Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker, required air pressure, and power were considered as predictor variables simultaneously.

St-10kw/kVA Single Phase Brush Type Electric Generator. Moreover, the operating cost was detailed in different cost items.Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator, indicated inFast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794, and major extrapolation should be avoided.

Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2$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 0.100% Copper Wire St-7.5kw Single Phase Alternator Factory Price, 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%)100% Copper Wire St-5kw Single Phase Brush Generator. 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.Home Theater Speaker. Moreover,Dual 6" Coaxial Full Range Speaker for Entertainment Room, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (12inch Stage Monitor Speaker, 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 (High Purity 99% Intermediate 1), maintenance (Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone 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,KTV Single 8" Full Range Audio&Sets), and annual cost index of mineral processing equipment.St-2kw 230V/50Hz Single Phase Brush Alternator for Sale, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Stc-12kw/15kVA Three Phase AC Electric Generator on Sale. Maximum MAER of 13.5% and minimum R2of 0.St 5kw Single Phase AC Electric Alternator Generator-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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