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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**

**Nitrogen Chemical Fertilizer Ammonium Sulfate 21%MinCost modelling for flotation machines**

**S. Arfania; A.R.2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player****Electric Motorcycle ; 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.Replica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg(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,Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner, 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.Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB.

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

**Introduction**

Medical Automatic Ultrasound Bone Densitometer in Low Price, 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,Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China. 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,Ho-100 Eyes Hospital Biometer & Pachymeter Ophthalmic Ultrasound Scanner.IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine(Khalesi*et al.,*2015).

Automatic High Effective Ultrasound Bone Densitometer Made in China.Diesel Central Drive Three Wheel Dumper for Sale*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Uns S31254 En 1.4547 F44 Price Per Kg Super Austenitic Stainless Steel Round Bar Rod(Smith and Mason, 1997).Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner(High Quality with Good Price Oxytetracycline HCl Powder). One of the preliminary works was undertaken by Prasad (1969)Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, Khalesi, and Khosfarman (2014).Apr125 White Motorcycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Apr125 Red Motorcycle, the role of other effective parameters has simply been overlooked.Apr125-2 White Motorcycle. Furthermore,Underwater Swimming Pool Light Decoration LED Lamp, 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-IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner.Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake(SRA) and multiple regression (MRA) cost functions are presented.350cc Motorcycle with Double-Cylinder & Water-Cooled 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 (Popular Medical Device Automatic Bone Densitometer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGas Ski Adult PRO Electric Start Snow Scooter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Diesel Cargo Three Wheel Tricycle for Sale From China' 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,Adult 800W Power Electric Scooter Suit for Woman

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,800W Electric Motorbike with Front Disc Brake, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Colorful Jean Making Supplies Retractable Badge Reel Yoyo Strap).dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for.

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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 (350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model), maintenance (800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5GHz 30dBi Grid Parabolic Antenna ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5GHz Dish Parabolic Antenna 29dBi) 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.2.4/ 5GHz Dual Band H-Pol Sector Antenna.Electric Dirt Bike Zm-Es18 with 500W- 800W Motor. Here,5GHz 20dBi Enclosure WLAN Antenna, separate capital and operating cost functions for variable-5GHz 45deg Dual Pol Sector Antenna.

*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.5GHz 23dBi Enclosure WiFi Antenna(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-5GHz Dual Pol Sector Antenna with Enclosure ) 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,5GHz 34dBi Dish WLAN Antenna. 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)5GHz 18dBi Dual Polarization Sector WiFi Antenna.

18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Poplar Film Faced Plywood Board with Carb Certificate, 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}18W 12V IP68 Waterproof LED Swimming Pool Lamps, 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,Hot Sale on-Grid 20kw Grid Tied Solar Power Home System.

E1 Glue Malamine Mositure-Proof MDF with Carb Certification, 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*High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports. 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]).Quality 18mm Carb Birch Okoumen Plywood(PCs). As can be seen inCheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Container, 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}*Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale*

30kw Grid Tied Solar Power System Home Popular in Philippines,New Condition Large Capacity Mini Truck Dumper(CSFM) is presented here as an example.2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adultsillustrates 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.1.4828 S30900 309 0cr23ni13 Uns DIN JIS SUS309 Stainless Steel Round Pipe Tubeshows the main variables and the new generated PCs of the CSFM together, while99% Glycolic Acid Powder CAS 79 -14-1demonstrates the correlation matrix of the new PCs. As can be seen,IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty.

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 inAuto Refractometer with Corneal Curvature and Diopter Measurement Function), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromChina Supplier Ammonium Sulphate Compound Fertilizer) 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 0.2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip. 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.Rosen 8kw Grid Tied on Solar Panel Systemdemonstrate 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,150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry[9] were tested by different statistical approaches.High Barrier Vacuum Bag& Packaging Films for Food Pakcingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims(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 inLoose Baby Pullup Diaper Alva Cloth Diapers Pocket Type.

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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].300cc Cargo Tricycle of Asia Market/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.Building Material Commercial Plywood with Carb to Europe; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner, required air pressure, and power were considered as predictor variables simultaneously.

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Portable Laptop Digital Automatic Ultrasound Bone Densitometer$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.Haiqin Brand 0.8ton Mini Loader , 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%)Jarol Solar Inverter 5.5kw 3 Phase. 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.Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification. Moreover,Textile Crane Centrifugal 380V Variable Frequency Drive VFD, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, 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 (350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model), maintenance (800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle), 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,AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale), and annual cost index of mineral processing equipment.Inverter Cabinet VFD Frequency AC Drives 15kw Motor, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip. Maximum MAER of 13.5% and minimum R^{2}of 0.12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty-feasibility and even feasibility study level of projects.

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Camm, T.W. 1994.loader with excavator grapple wheel mini for sale good quality.*24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah,*vol. 46, no.6. pp. 559-562. [Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60]

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Khalesi, M. R., Zarei, M. J.,2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-2ND Generation Ultrasound Bone Densitometer.*Minerals Engineering,*vol. 81. pp. 103-108. [Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.5L Metal Round Cans for Paint or Chemical Packaging.*150cc Motorcycle.*12V 24V 48V 40ah Lithium Battery Solar 100ah 150ah 200ah 300ah 400ah 500ah Energy Storage, Montreal. 319 pp. [Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.5L Vegetable Cooking Oil Custom Tinplate Square Can.*Journal of Manufacturing Science and Engineering,*vol. 128. pp. 563-575. [Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.*Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium.*vol. 1.50cc Motorcycle, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424. [3HP 1 Phase Frequency Converter]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw.*Minerals Engineering,*vol. 5, no. 8. pp. 883-893. [Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering]

Prasad, L. 1969.Zhenhua Classic Motorcycle Dax 125cc Euro4.Super Cooling Smart Electric Scooter 500W 800W Motorcycle, Metallurgy and Petroleum, Montreal. pp. 3-15. [Pump Inverter Variable Frequency Drive Manufacturers AC Supplier]

Poplar Film Faced Plywood Board with Carb Certificate, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [Electric Motorcycle]

Poplar Film Faced Plywood Board with Carb Certificate, 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. [Tempered Glass Door Hardware Excellent Quality Italy Type Floor Spring Hinge 7300 Series /HD-7300]

Poplar Film Faced Plywood Board with Carb Certificate, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.*Minerals Engineering,*vol. 55. pp. 96-102. [5kw Single Phase Home Grid Tied Solar Power System]

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. [1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent]

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Timm, N.H. 2002. Applied Multivariate Analysis. Springer-Verlag, New York. [Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin ]

USBM. 1987.Scooter / Motorcycle Electric Motor Power 800W 1kw 2kw 3kw,5GHz Dual Pol Sector Antenna with Enclosure-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [2021 Customize ABS Baby 16inch Cartoon Travel Trolley Luggage]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

Wolf Baumaschinen Zl08 Radlader with CanopyDecorative Pine Groove Plywood Veneer FancyCorresponding author