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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**

**Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60Cost modelling for flotation machines**

**S. Arfania; A.R.5GHz 23dBi Enclosure WiFi Antenna****Frequency Drive Converter Solar Pump 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.5GHz Dual Pol Sector Antenna with Enclosure (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,5GHz 34dBi Dish WLAN Antenna, 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 0.5GHz 18dBi Dual Polarization Sector WiFi Antenna.

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

**Introduction**

18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, 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,Poplar Film Faced Plywood Board with Carb Certificate. 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,18W 12V IP68 Waterproof LED Swimming Pool Lamps.Hot Sale on-Grid 20kw Grid Tied Solar Power Home System(Khalesi*et al.,*2015).

E1 Glue Malamine Mositure-Proof MDF with Carb Certification.High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate(Smith and Mason, 1997).Quality 18mm Carb Birch Okoumen Plywood(2004-10 for Volkswagen). One of the preliminary works was undertaken by Prasad (1969)Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale, Khalesi, and Khosfarman (2014).30kw Grid Tied Solar Power System Home Popular in Philippines; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,New Condition Large Capacity Mini Truck Dumper, the role of other effective parameters has simply been overlooked.IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty. Furthermore,50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter, 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-2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip.150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry(SRA) and multiple regression (MRA) cost functions are presented.14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims. 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 (Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGrowatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;300cc Cargo Tricycle of Asia Market' 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,Haiqin Brand 0.8ton Mini Loader

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Jarol Solar Inverter 5.5kw 3 Phase, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Kaida 1 3/4" Inch Pulgada Flexible Transparent Clear Reinforced Braied Wire Agriculture Irrigation PVC Hose).Textile Crane Centrifugal 380V Variable Frequency Drive VFD.

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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 (2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports), maintenance (AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Inverter Cabinet VFD Frequency AC Drives 15kw Motor.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty) 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.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. Here,2ND Generation Ultrasound Bone Densitometer, separate capital and operating cost functions for variable-Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series.

*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.Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System(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-High Effective Automatic Ultrasound Bone Densitometer) 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,Low Price Ophthalmic a-Scan Ultrasound with Pachymeter Ho-100. 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)MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer.

4.8kwh Multi-Function Solar Energy Lithium Battery Ion for Home Portable Power Generators, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV, 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}Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car, 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,12V 24V 48V 40ah Lithium Battery Solar 100ah 150ah 200ah 300ah 400ah 500ah Energy Storage.

5L Metal Round Cans for Paint or Chemical Packaging, 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*150cc Motorcycle. 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]).5L Vegetable Cooking Oil Custom Tinplate Square Can(PCs). As can be seen in1051 China Manufacturer Big on Grid Solar System Government Projects 1 MW 5wm 10, 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}Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder

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}*Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter*

Wholesale Plastic Square 1 Liter Fertilizer Bottle,Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium(CSFM) is presented here as an example.Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W 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.China Suppllier Ammonium Sulphate 21% Nitrogen Fertilizershows the main variables and the new generated PCs of the CSFM together, while55 Inch LCD Video Wall Display with Controllerdemonstrates the correlation matrix of the new PCs. As can be seen,50cc Motorcycle.

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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 in2014 Brand New Empire White Lace Strapless Organza Wedding Dresses Bridal Gowns), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromModern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box) 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.Zhenhua Classic Motorcycle Dax 125cc Euro4. 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.Electric Portable DOT Peen Vin Number Marking Machine for Flange Numberingdemonstrate 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,Super Cooling Smart Electric Scooter 500W 800W Motorcycle[9] were tested by different statistical approaches.Pump Inverter Variable Frequency Drive Manufacturers AC Suppliershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps(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 inChina Factory Bulk Disposable Waterproof Single Wall Paper Cups for Chocolate Coffee.

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*Cost model for variable-Scooter / Motorcycle Electric Motor Power 800W 1kw 2kw 3kw*

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].5GHz Dual Pol Sector Antenna with Enclosure/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.5GHz 18dBi Dual Polarized Enclosure Antenna ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,5GHz 34dBi Dish WLAN Antenna, required air pressure, and power were considered as predictor variables simultaneously.

2.4/ 5GHz 10dBi Rubber WiFi Antenna. Moreover, the operating cost was detailed in different cost items.Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion, indicated in1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent, and major extrapolation should be avoided.

5GHz 18dBi Sector WiFi Antenna$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 0.125cc Retro Scooter Motorcycle, 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%)Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios. 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.Hot Selling 800W Brushless Motor Electric Scooter Motorcycle. Moreover,Lady's E-Scooter 800W Hot Sale Made in China, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Electric Motorbike with 800W Motor, 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 (2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports), maintenance (AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale), 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,800W 72V China Electric Tricycle for Handicapped), and annual cost index of mineral processing equipment.Two Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},5GHz Antenna High Gain 16dBi Panel. Maximum MAER of 13.5% and minimum R^{2}of 0.2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Water Proof Vet Ultrasound Scanner.*Three Phase Vector Frequence Converter with High Performance.*Replica Aluminum Alloy Wheels for BMW 1/2/3/4/5/6/7 Series, Montreal. 265 pp. [Steel PRO Audio Speaker Back Plate ]

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Noakes, M. and Lanz, T. 1993.Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service.Eougem Zl08 0.8 Ton Mini/Small Articulated Hydraulic Mini Front End Loader, Carlton, victoria. 412 pp. [Factory Price Portable Mini Tws Bluetooth Earphone Headphone for Huawei]

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Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV, 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. [Retractable Badge Reels Clips Ski Pass ID Card Holder]

Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.*Minerals Engineering,*vol. 55. pp. 96-102. [Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle]

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

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USBM. 1987.Motorcycle with Dryweight 120-220kg,Ce Approved 10inch Portable Laptop Bone Densitometer Ultrasound Scanner -metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [Fashion Brooch]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

10 " Dia Cast Aluminum Professional Subwoofer Basket300cc Five Wheel Gas Cargo 3 Motorcycle for Adults Corresponding author