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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**

**CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable MobilityCost modelling for flotation machines**

**S. Arfania; A.R.Frequency Inverter Pump AC Drive Price****Growatt 50000W 60000W 70000W 80000W Grid Tied Solar Inverter; 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.Jarol Frequency Inverter JAC200 3 Phase 380V 4kw(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,Inverter, 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.AC Drive Inverter Low Frequency Power.

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

**Introduction**

0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump, 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,AC Drive Variable Drive. 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,China AC Drive Manufacturers.China AC Drive Frequency Inverter Manufacturer Supplier(Khalesi*et al.,*2015).

Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle.1500W Electric Motorcycle*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9(Smith and Mason, 1997).High Speed Electric Motorcycle Scooter(Sp-1000ap Ophthalmic a Scan and Pachymeter). One of the preliminary works was undertaken by Prasad (1969)Bl-Xgz Electric Motorcycle, Khalesi, and Khosfarman (2014).Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger, the role of other effective parameters has simply been overlooked.Bl-Xgw Electric Motorcycle. Furthermore,Yineng Yn725 Mini Wheel Loader 18.5kw Cabin, 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-Yn725 Mini Small Perkins Engine Wheel Loader.21kw Grid- Tied Solar Power System with 25 Years Working Time(SRA) and multiple regression (MRA) cost functions are presented.Home Solar System 2kw Panel. 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 (Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSolar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid' 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,Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Yangtze 10kw Grid- Tied Solar System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (for Making India Incense).Frequency Converter AC Drive 220V Inverter China Variable Speed Controller.

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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 (4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil), maintenance (Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Innopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container) 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.Yn725g Hot Sale Mini Wheel Loader.Articulated Loader Mini Compact Wheel with Shovel. Here,Good Quality Empty Metal Tin Paint Glue Cans, separate capital and operating cost functions for variable-Everun 0.8ton Chinese Articulated Mini Wheel Loader.

*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.Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity(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-500ml Round Resealable Tin Can with Easy Open Screw Top Lid) 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,Compact wheel loader snow pusher landscaping. 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)Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle.

Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Frequency Drive Converter Solar Pump Inverter, 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}China E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle, 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,60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK.

Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter, 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*China Single Phase Variable Frequency Inverter AC 220V. 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]).Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China(PCs). As can be seen inPower Saver for Industrial , 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.

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AC Drive Frequency Variable General Power Supply Solar Motor Pump,Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC(CSFM) is presented here as an example.Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%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.Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/Hshows the main variables and the new generated PCs of the CSFM together, whileTop Quality Tretinoin Powder Retinoic Acid for Skin Caredemonstrates the correlation matrix of the new PCs. As can be seen,500kw Solar Energy System Grid Tied 500kwatt Panel Station.

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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 inCoolandhygiene China Factory Disposable Winged Anion Lady Sanitary Napkins Pad), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromProfessional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker) 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.Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC. 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.Nitrogen Fertilizer Ammonium Sulphate for Agriculturedemonstrate 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,Factory Price 7000W Home Solar Power Generator System Grid Tied[9] were tested by different statistical approaches.Double 10 Inch Line Array PRO Audio shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw(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 in925 Sterling Silver Antique Charm Jewelry Manufacturer in China.

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*Cost model for variable-Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader*

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].Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw/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.1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Inverter, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design$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.Yn725g 18.5kw No Cabin Yineng Mini Wheel 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%)Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V. 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.Haolin Lithium Battery 60V/20ah. Moreover,Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush, 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 (4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil), maintenance (Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid), 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,Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult), and annual cost index of mineral processing equipment.High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Adult Electric Motorcycle with Lithium Battery China. Maximum MAER of 13.5% and minimum R^{2}of 0.Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery-feasibility and even feasibility study level of projects.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent, neural networks, and case-based reasoning.*Building and Environment,*vol. 39, no. 10. pp. 1235-1242. [80kw Grid Tied Solar System for Commercial or Industrial Use]

Lashgari, A.350ml Brake Fluid Glue Tin Bottle, A.R. 2013.9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint,*Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD,*vol. 23. pp. 441-446. [High Quality Waterproof Taiwan Nylon Fashion Women Waistbag Bag]

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Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Solar Pump Inverter DC/ AC Supplier, Montreal. vol.13. 166 pp. [10t 12m Electric Wire Rope Pulling Hoist]

Mular, A.L. 1982.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw.*Frequnce Converter AC Drive 380V 11kw.*Solar Inverter Pump 15kw, Montreal. 265 pp. [Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost.*TUV Ce Europe Popular 6000W Grid Tied Home Solar System.*Solar Inverter Pump 15kw, Montreal. 319 pp. [Rental Application Stage Monitor Audio&Sets]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box.*Journal of Manufacturing Science and Engineering,*vol. 128. pp. 563-575. [Single 10 " Waterproof Polyurea Active Line Array Speaker Systems]

Noakes, M. and Lanz, T. 1993.Yn725g Yineng Mini Front End Loader.China Everun Er408 Small Loader Compact with Pallet Forks, Carlton, victoria. 412 pp. [Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.*Yn725g 18.5 Kw/2.*vol. 1.1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424. [Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel]

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Prasad, L. 1969.Yn725g Yineng Mini Wheel Loader.CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader, Metallurgy and Petroleum, Montreal. pp. 3-15. [Engine Parts Turbocharger for Mercedes-Benz Om906 La K27.2 Om366/Om642/Om362/Om441/Om442/Om447/Om457]

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Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.*Information Circular*9170, 94. US Bureau of Mines. [Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W]

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USBM. 1987.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw,Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [Toss sale Fungicide Tebuconazole 250g/L EC]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

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