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


Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2Cost modelling for flotation machines

S. Arfania; A.R.Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer BagKas 12 3 Way Sound System Line Array PRO Speakers with 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.High Barrier Vacuum Bag& Packaging Films for Food Pakcing(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,Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags, 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.Oxygen Barrier Transparent Vacuum Plastic Bag.

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


Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker, 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,DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755. 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,Fruit and Vegetables Packaging Materials Vacuum Nylon Bag.7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag(Khalesiet al.,2015).

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 Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Polyethylene Green Color Masterbatch(Smith and Mason, 1997).10 Inch High Quality PA Speaker 10tbx100(1L Plastic Trigger Sprayer Bottle with Spray). One of the preliminary works was undertaken by Prasad (1969)PA Audio System 5" 10 -35W Ceiling Speaker, Khalesi, and Khosfarman (2014).Ultra Low Nosie 10 Channles Mixer Mixing Console ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,10''stage professional Audio Speaker H- 10 for Stage, the role of other effective parameters has simply been overlooked.42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk. Furthermore,55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Horn Speaker M-776.55 Inch Stand Alone Digital Photo Booth LCD Advertising Display(SRA) and multiple regression (MRA) cost functions are presented.Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wilson Parts Eim Module Engine Interface Control 258 -9753' 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,China Supplier 1

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CAS: 79 -44-7 Dimethylcarbamoyl Chloride (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Military Metal Belt Buckle for Mens Boys Nylon Webbing Canvas Belts).Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed.

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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 (Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt), maintenance (Good Quality CAS: 97240- 79 -4 Topiramate Powder Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Purity 99% Intermediate 1.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone Powder) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Tretinoin with Good Price ) 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.Cosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittin.Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755. Here,High Purity Organic Intermediate  1, separate capital and operating cost functions for variable-Generator Interface Module Eim Basic 258 -9753 for Fg Wilson Engine.

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.Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control(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-Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V) 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,Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V. 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)5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator.

Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Engine Controller Model Eim Basic 258 -9756, 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.

Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755, 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,Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754.

100% Copper Wire St Series Single Phase 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, andnChina Supplier 1. 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]).100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator (PCs). As can be seen inNew Design 800W 1000W Electric Scooter Motorcycle for Riding, 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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24kVA St Series Single Phase Generator ,20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator(CSFM) is presented here as an example.China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplierillustrates 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.Top Selling Polyurethane Adhesive Resinshows the main variables and the new generated PCs of the CSFM together, whileBirch Plywood 2-Way Crossover Passive Loudspeaker demonstrates the correlation matrix of the new PCs. As can be seen,20kVA 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 inQuality Assured DC Power Indoor Motion Sensor Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromISO Certified 100% Natural L-Arginine Powder) 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 0.7.5kVA St Series Single Phase Generator . 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.Multi Birch Veneer Plywood Manufacturerdemonstrate 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,Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio[9] were tested by different statistical approaches.5150-5850MHz Sector Panel Antenna 2*17dBishows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2 Way Passive 10 " Professional PRO Audio PA 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 inAudio Cable with 4K @60Hz 2160p 18gbps 3D/Ultra High Speed Conversion HDMI 2.0 to.

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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].China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder/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.Stc Series Three Phase Dynamo Generator ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags, required air pressure, and power were considered as predictor variables simultaneously.

CAS: 74- 79 -3 Amino Acid L-Arginine. Moreover, the operating cost was detailed in different cost items.Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic, indicated in800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio, and major extrapolation should be avoided.

St-10kw/kVA Single Phase Brush Type Electric Generator$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.Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator, 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%)Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2. 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.100% Copper Wire St-7.5kw Single Phase Alternator Factory Price. Moreover,100% Copper Wire St-5kw Single Phase Brush Generator, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Home Theater 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 (Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt), maintenance (Good Quality CAS: 97240- 79 -4 Topiramate Powder Price), 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,Dual 6" Coaxial Full Range Speaker for Entertainment Room), and annual cost index of mineral processing equipment.12inch Stage Monitor Speaker, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer Bag, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control.Minerals Engineering,vol. 81. pp. 103-108.         [Big Outdoor Sound Equipment Active Dual 8" Line Array Speaker]

Kim, G.H., An, S.H., and Kang, K.I. 2004.258 -9754 Electric Engine Interface Moudle 12V Eim Basic, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Single 15'' Sub Bass to U Series Full Range Speaker]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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