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*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**

**1L Tin Can for Camellia Oil Cost modelling for flotation machines**

**S. Arfania; A.R.Gt1544s 454083-0001 1002829 Garrett Engine Turbo for Vw Passat****Portable Laptop Digital Automatic Ultrasound Bone Densitometer; 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.Engine Parts Turbocharger for Mercedes-Benz Om906 La K27.2 Om366/Om642/Om362/Om441/Om442/Om447/Om457(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,Gt1544sm Tdi Engine Bnm 045253019d 733783-5008s 733783-5007s Turbo, 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.Universal Turbo T3t4 T04e T3.63 Ar + 76mm 3" Intercooler Pipe Piping Kit.

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

**Introduction**

Truck Parts Turbocharger for Mercedes-Benz/Chrysler/Dodge Om647 Gt2256 6470900280 736088-0003, 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,FPM FKM Viton EPDM SBR Cr Silicone NBR Rubber Parts. 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,Gt1541V 704765-0003/708450-0018 Turbine Wheel Shaft for 700960-0011.Gt1544sm 733783-5007s Turbo for Volkswagen Fox 1.4L Tdi Engine Bnm(Khalesi*et al.,*2015).

Cosmetic Grade 99% Purity All Trans Retinoic Acid 302- 79 -4 Tretinoin/Vitamin a.Customized Rubber Spacer Black Silicone Bushing*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box.(Smith and Mason, 1997).Gym Rubber Flooring Floor Mat Roll(Launch Thinkcar Thinkdiag Full System OBD2 Diagnostic Tool Powerful Than Easydiag with 3 Free Software). One of the preliminary works was undertaken by Prasad (1969)Ihi Turbocharger 2001-04 Peugeot, Khalesi, and Khosfarman (2014).Gt1749V ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2004-10 for Volkswagen, the role of other effective parameters has simply been overlooked.Borg Warner BV45 Turbo 5303-988-0337 Core Chra for Nissan. Furthermore,T250-04 452055-5004s Turbocharger for Gemini III Engine, 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-Gtb1749vk Turbo Cartridge 798128-0004 for 2011- Peugeot Boxer.Gt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistar(SRA) and multiple regression (MRA) cost functions are presented.Gt1749vk 798015-0002 A6710900380 Turbo for Ssang-Yong Korando C200 2.0 D20dtf Engine. 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 (Gt1544V 740611-5002s 28201-2A400 Turbo for Hyundai Verna, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inRoof Mounting 20kw Grid Tied Solar Power System Home(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Aftermarket BV45 53039880337 Turbocharger for 2010-12 Nissan Pathfinder Navara Engine' 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,Dl-Isoleucine Powder CAS Number 443- 79 -8

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,98% Uvarigranol B\C\D\E Standard Reference Materials Plant Extracts, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Zb66kqe-Tfd- 551 9HP Copeland Zb Series Scroll Compressor).High Purity 99.0%Min. Ademetionine Disulfate Tosylate .

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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 (Centella Asiatica Extract 99% Asiaticoside 16830-15-2), maintenance (Crovell Supply Raw Material CAS 104-29-0 Chlorphenesin for Cosmetic) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Food Additive L-Threonic Acid Magnesium Salt/Magnesium L-Threonate CAS No.: 778571-57-6.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Polyethylene Green Color Masterbatch) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pipe Bevelling Machine ) 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.ISO Certificated Company Supply Skin Whitening Retinoic Acid Powder.Green Plastic Masterbatch Blowing Film Grade. Here,Green Color HDPE Masterbatch, separate capital and operating cost functions for variable-Blue Masterbatch for Film.

*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.Yellow Color Plastic Masterbatch(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-Yellow HDPE Masterbatch) 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,Universal LPG Gas Completed ECU Conversion Kit. 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)Act Best Seller CNG LPG Gas Car Emulator.

CNG/LPG Rail Injector Type Gas 4 Cylinders, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Act MP 48 ECU Switch/Act 2568d Switch, 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}Fuel Gas Cylinder ECU 2568d Map Sensors, 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,Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit.

Auto Vehicle Gas Conversion Kit CNG Seqential Injection Kits, 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*Electric Pipe End Bevelling Machine. 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]).T-Electric Pipe Bevelling Machine (PCs). As can be seen inTitan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce, 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]:

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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}*Pneumatic Pipe Beveling Machine High Performence*

Act CNG LPG Fuel System 2568cyl ECU Kits,Factory Directly Sell Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Oil Cup(CSFM) is presented here as an example.Customized Metal Tea Canister Food Packaging Box Round Can Tinillustrates the high correlation between predictor variables for the CSFM.

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.Yn725 Mini Small Perkins Engine Wheel Loadershows the main variables and the new generated PCs of the CSFM together, while10W 4" Inchs LED Dimmable Downlight for Roomdemonstrates the correlation matrix of the new PCs. As can be seen,Plastic Green Color Masterbatch.

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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 inHigh Quality Fantasy Brown Granite Slab Stone for Kitchen Tops/ Vanity Tops), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromProfessional Manufacture Y Solar Mc4 Energy System Connector PV) 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**

*4 Cyl CNG Auto Gas LPG Conversion Kit / Sequential Injection System*

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 0.3cyl 4 Cyl 6cyl 8cyl LPG/CNG Injector Rail. 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.Disodium Hydrogen Phosphate Dihydrate Food Gradedemonstrate 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,L Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection System[9] were tested by different statistical approaches.Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Diesel Engine Parts 4 Cyl Pump Rotor Head 096400-0371(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 inPremium Silver Crystal Chandelier Pendant Lamp Living Room Hotel.

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*Cost model for variable-Diesel Engine Parts Injection System Nozzle Dnopd619*

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].Supply API 99%Min Dalbavancin CAS 171500- 79 -1 Raw Material 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.

**Discussion**

Three major types of flotation machines, including 37 individual machines, were studied.Diesel Engine Parts Fuel System Nozzle Dlla145pn574; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Gt1544sm Tdi Engine Bnm 045253019d 733783-5008s 733783-5007s Turbo, required air pressure, and power were considered as predictor variables simultaneously.

Master Batch Organic Colors. Moreover, the operating cost was detailed in different cost items.Orange Color Masterbatch, indicated inDsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1, and major extrapolation should be avoided.

Plastic Purple Color Masterbatch$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.Plastic Grey Color Masterbatch, 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%)Free Sample Color Masterbatch ABS PE Non Toxic for Injection Molding. 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.Cosmetic Grade Liquid Form 70% CAS 79 -14-1 Glycolic Acid. Moreover,Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Quality, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cosmetic Raw Material 99% Retinoic Acid 302- 79 -4, 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 (Centella Asiatica Extract 99% Asiaticoside 16830-15-2), maintenance (Crovell Supply Raw Material CAS 104-29-0 Chlorphenesin for Cosmetic), 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,ISO and SGS Factory Provide L-Arginine Nitrate 749- 79 -33), and annual cost index of mineral processing equipment.High Quality Gentisic Acid CAS No.: 490- 79 -9 with Fast Delivery, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Factory Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7. Maximum MAER of 13.5% and minimum R^{2}of 0.Health Raw Material L-Carnitine Fumarate CAS No.: 90471- 79 -7 with High Quality-feasibility and even feasibility study level of projects.

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Camm, T.W. 1994.Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7.*Best Price Bulk Powder Retinyl Palmitate 79 -81-2,*vol. 46, no.6. pp. 559-562. [1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kw]

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Kaiser, H.F. 1960. The application of electronic computers to factor analysis.*Educational and Psychological Measurement,*vol. 20. pp. 141-151. [Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient]

Khalesi, M. R., Zarei, M. J.,Gt1544s 454083-0001 1002829 Garrett Engine Turbo for Vw Passat, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery.*Minerals Engineering,*vol. 81. pp. 103-108. [Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner]

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Mular, A.L. 1982.Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone.*Diesel Engine Parts Fuel Injection Nozzle 150sn902.*Tws Sport Headset Stereo Headphone Earphone with Charging Box Black, Montreal. 265 pp. [Three-Way Large Touring Performance Line Array System PA Speaker]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls.*New Products Charging Case Mini Small Headphones Tws Earbuds Wireless 2021.*Tws Sport Headset Stereo Headphone Earphone with Charging Box Black, Montreal. 319 pp. [150cc Motorcycle]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Transparent Nylon 12 Resin Raw Material Polyamide Granules.*Journal of Manufacturing Science and Engineering,*vol. 128. pp. 563-575. [9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint]

Noakes, M. and Lanz, T. 1993.PA12 Natural Resin Transparent Granules Pellets Polyamide Price.PA12 Plastic Granule for Injection Molding Polyamide 12 Resin Nylon, Carlton, victoria. 412 pp. [Apr125-2 White Motorcycle]

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Act MP 48 ECU Switch/Act 2568d Switch, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-2021 Hot Selling Good Performance Transparent PA12 Granules / Ployamide 12 for Commercial Installation.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [High Adhesion Polyurethane PU Resin for Printing Ink]

Act MP 48 ECU Switch/Act 2568d Switch, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.*Journal of Civil Engineering and Management,*vol. 18, no. 3. pp 378-385. [55'' Touch-Screen LED LCD Monitor for Multimedia Teaching Meeting]

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Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.*The Engineering Economist,*vol. 42, no. 2. pp. 137-161. [Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

Frequency Converter 60Hz 50Hz 200HPHigh Frequency Induction Heater Corresponding author