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## Island Bianco Antico Granite

*On-lineÂ version*Â ISSN2411-9717

*PrintÂ version*Â ISSN2225-6253

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

#### http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

**GENERAL PAPERS**

**Surface Mounted Fully Resin Filled RGB LED Piscine Pool LightCost modelling for flotation machines**

**S. Arfania; A.R.China Best Price Agriculture Fertilizer with Nitrogen 21%****Scarlet/ Violet / Purple/ Golden/Green Pigment Paste; 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.Factory Price Agricultrue Fertilizer with Caprolactam Grade(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,White Powder, 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 R^{2}, 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 R^{2}of 0.Crystal Nitrogen 21% Agricultural Fertilizer.

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

**Introduction**

Steel Grade Nitrogen 20.5% Ammonium Sulphate, 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,Nitrogen Fertilizer. 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,Cheap Price Fertilizer Ammonium Sulphate Steel Grade.Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphate(Khalesi*et al.,*2015).

Cheap Price Fertilizer Ammonium Sulphate Blue Star 21%.Urea Fertilizer/ Ammonium Sulfate with Steel Grade*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Motorcycle Spare Part Turn Light for Gy6 -150(Smith and Mason, 1997).Agriculture Ammonium Sulphate Caprolactam 25kg Package(PA Power DJ Audio Speaker). One of the preliminary works was undertaken by Prasad (1969)High Quality Ammonium Dibutyl Dithiophosphate 95%, Khalesi, and Khosfarman (2014).L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price, the role of other effective parameters has simply been overlooked.Plants Ammonium Sulphate Granular 20.5%Min. Furthermore,Chemical Factory Sale Ammonium Sulphate Fertilizer Granular, 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-Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate.20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture(SRA) and multiple regression (MRA) cost functions are presented.Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate. 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 (Nitrogen Fertilizer Steel Grade as From China Factory, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Nitrogen Chemical Fertilizer Ammonium Sulfate 21%Min' names:

►White Crystal Steel Grade Ammonium Sulphate with N20.5%: based on 36-foot,Floating Agent Ammonium Dibutyl Dithiophosphate Supplier,Mineral Processing Reagents Collector Ammonium Dibutyl Dithiophosphate,Nitrogen Fertilizer Ammonium Sulphate for Agriculture, and level control

►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 Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Granular Ammonium Sulphate, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Fertilizer N21%(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (UL Ce Double Line 240LEDs/M SMD1210 RGBA LED Strip).China Supplier Ammonium Sulphate Compound Fertilizer.

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 (Crystal Fertilizer Ammonium Sulphate for Coumpound), maintenance (Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Vegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm) 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.Professional Audio PA Subwoofer Component Speakers.650W-18 Inch Subwoofer Speaker Manufacture China Factory Directly. Here,Nh4 2so4 Chemical Formula for Ammonium Sulfate Fertilizer, separate capital and operating cost functions for variable-280mm Magnet.

*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.Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente Hot Sale(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-Professional Audio PA Subwoofer Component Speakers Bocinas) 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,L18 /86130 100%Good Feedback! Professional 18 Inch PA Speaker 1000W RMS Subwoofer. 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:

where*Y*refers to capital or operating costs,*X*defines an independent variable (one of the machine predictor variables), and*a*and*b*are constant values (parameters)Additive PE Green Color Masterbatches Manufacturer.

L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot Sale, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (L18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer, Khalesi, and Khosfarman, 2014).

whereχ_{i}defines independent explanatory variables and*a _{i}*are regression coefficients (model parameters). As was mentioned, independency of

*x*variables 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.

_{i}L18 / 6620- 18 Polegadas PRO Audio Subwoofer Alto Falante 650W, R^{2}, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R^{2}is 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]:

where*X _{obs}*is the observed value,

*x*the estimated value at time/place

_{e}*I,*and n,OEM Custom Square Rectangle Round Rubber Cover.

N21% White Granular Ammonium Sulphate, analysis of residuals, tests of MAER values and evaluation of R^{2}were 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).

where*C _{e}*is the estimated cost,

*C*the actual cost, and

_{a}*n*Vegetable and Fruit Fertilizer Ammonium Sulfate Nitrogen 21%. 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]).Agriculture Fertilizer N 21% Ammonium Sulfate(PCs). As can be seen in18" Fane Style Aluminum Speaker Frame, neither*X _{1}*nor

*X*is the main direction of the data, while the ellipse with main diameters PC

_{2}_{1}and PC

_{2}matches 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 and

*X*as Equations [5] and [6]:

_{i}In this research, main variables of*X _{1}, X_{2}*.

*.. X*were 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.

_{n}*21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline*

Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory,Power Steel Grade Nitrogen 20.5% Industrial Ammonium Sulphate Chemical Fertilizer(CSFM) is presented here as an example.Rectangle Sliding Strip Glass Door Quadrant Bathroom illustrates 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.Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5shows the main variables and the new generated PCs of the CSFM together, whileLp Electric Guitar on-on-on Control Switchdemonstrates the correlation matrix of the new PCs. As can be seen,White Extrusion Granular Ammonium Sulphate China Factory.

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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)

where*X _{i}*are main technical variables (like power or required air),

*a*are calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inCustom Logo Bio Plastic Degradable Shipping Envelopes Mail Express Packaging Bag), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromCAS16830-15-2 Gotu Kola Extract Centella Asiatica Powder Cosmetic Ingredient Asiaticoside) 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**

*Granular Grade Ammonium Sulphate N20.5% Nitrogen Fertilizer*

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.Nitrogen Fertilizer Color Granular Ammonium Sulphate 20.5+24s. The R^{2}is about 0.94 for both cases,*i.e.*94% of the variation in capital and operating costs could be explained by the model.Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From Chinademonstrate 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,China Suppliers Alone Type Wraped Beam Disc Machenism Padlock[9] were tested by different statistical approaches.Solar Power System Home 5kw off Grid Tied Solutionshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Dust Proof Steel Shackle Padlocks with Master Key(a1, a_{2}, a_{3}) and new intercept (a_{0}) 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 inHigh Quality Ultralight Business Laptop Backpack Waterproof Anti-Theft Travel.

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*Cost model for variable-Padlock-G38PDP*

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].Breaker Lock/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.Padlock; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,White Powder, required air pressure, and power were considered as predictor variables simultaneously.

Alone Type Wraped Beam Leaves Iron Padlock . Moreover, the operating cost was detailed in different cost items.Fuso Truck & Bus Turbo Td04 49377-03041 Me201258 for 4m40 Engine Mitsubishi Pajero, indicated inDiesel Engine Parts Fuel Injection Nozzle Dlla160s325n507, and major extrapolation should be avoided.

Gt1544s 454083-0001 1002829 Garrett Engine Turbo for Vw Passat$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.Engine Parts Turbocharger for Mercedes-Benz Om906 La K27.2 Om366/Om642/Om362/Om441/Om442/Om447/Om457, 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 R^{2}values 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%)Gt1544sm Tdi Engine Bnm 045253019d 733783-5008s 733783-5007s Turbo. 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.Universal Turbo T3t4 T04e T3.63 Ar + 76mm 3" Intercooler Pipe Piping Kit. Moreover,Truck Parts Turbocharger for Mercedes-Benz/Chrysler/Dodge Om647 Gt2256 6470900280 736088-0003, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (FPM FKM Viton EPDM SBR Cr Silicone NBR Rubber Parts, 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 (Crystal Fertilizer Ammonium Sulphate for Coumpound), maintenance (Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%), 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,Gt1541V 704765-0003/708450-0018 Turbine Wheel Shaft for 700960-0011), and annual cost index of mineral processing equipment.Gt1544sm 733783-5007s Turbo for Volkswagen Fox 1.4L Tdi Engine Bnm, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Cosmetic Grade 99% Purity All Trans Retinoic Acid 302- 79 -4 Tretinoin/Vitamin a. Maximum MAER of 13.5% and minimum R^{2}of 0.Customized Rubber Spacer Black Silicone Bushing-feasibility and even feasibility study level of projects.

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L18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Polyethylene Green Color Masterbatch.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

Supply China Control Frequency Converter VFD Power Transformer Motor DriveFactory Supply Disodium Phosphate Food GradeCorresponding author