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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**

**Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power SystemCost modelling for flotation machines**

**S. Arfania; A.R.18W 12V IP68 Waterproof LED Swimming Pool Lamps****Rimonabant Powder Weight Loss Factory Direct Supply; 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.Hot Sale on-Grid 20kw Grid Tied Solar Power Home System(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,E1 Glue Malamine Mositure-Proof MDF with Carb Certification, 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.High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports.

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

**Introduction**

Quality 18mm Carb Birch Okoumen Plywood, 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,Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale. 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,30kw Grid Tied Solar Power System Home Popular in Philippines.New Condition Large Capacity Mini Truck Dumper(Khalesi*et al.,*2015).

IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty.50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Food Grade Addictive Disodium Phosphate DSP(Smith and Mason, 1997).2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip(1051 China Manufacturer Big on Grid Solar System Government Projects 1 MW 5wm 10). One of the preliminary works was undertaken by Prasad (1969)150ml Plastic Clear White Bullet Liquid Bottle for Cosmetic Industry, Khalesi, and Khosfarman (2014).14" to 22' Inch Replica Aluminum Alloy Wheel for KIA Rims; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessories, the role of other effective parameters has simply been overlooked.300cc Cargo Tricycle of Asia Market. Furthermore,Building Material Commercial Plywood with Carb to Europe, 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-AL908 800kg Rated Load Wheel Loader with CE Approved for Sale.China Jiaxing Jarol Frequency Inverter 0.75kw/220V New(SRA) and multiple regression (MRA) cost functions are presented.Portable Laptop Digital Automatic Ultrasound Bone Densitometer. 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 (Haiqin Brand 0.8ton Mini Loader , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Jarol Solar Inverter 5.5kw 3 Phase' 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,Inverter Cabinet VFD Frequency AC Drives 15kw Motor

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Access Control Garage Door Keypad Lock Waterproof IP68 Metal Case RFID 125kHz Single Stand - Alone with 2000 Users for Outdoor and Indoor).loader with excavator grapple wheel mini for sale good quality.

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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 (24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah), maintenance (2ND Generation Ultrasound Bone Densitometer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Effective Automatic Ultrasound Bone Densitometer) 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.Low Price Ophthalmic a-Scan Ultrasound with Pachymeter Ho-100.MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer. Here,4.8kwh Multi-Function Solar Energy Lithium Battery Ion for Home Portable Power Generators, separate capital and operating cost functions for variable-Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EV.

*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.Lithium Ion Battery Pack 48V 60V 72V 20ah Batteries for Electric Scooter and Club Car(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-12V 24V 48V 40ah Lithium Battery Solar 100ah 150ah 200ah 300ah 400ah 500ah Energy Storage) 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,5L Metal Round Cans for Paint or Chemical Packaging. 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)150cc Motorcycle.

5L Vegetable Cooking Oil Custom Tinplate Square Can, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter, 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}Wholesale Plastic Square 1 Liter Fertilizer Bottle, 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,Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium.

50cc Motorcycle, 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*Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw. 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]).Zhenhua Classic Motorcycle Dax 125cc Euro4(PCs). As can be seen inChina Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer, 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}*Super Cooling Smart Electric Scooter 500W 800W Motorcycle*

Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps,Scooter / Motorcycle Electric Motor Power 800W 1kw 2kw 3kw(CSFM) is presented here as an example.Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adultillustrates 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.Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6shows the main variables and the new generated PCs of the CSFM together, whileModern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Boxdemonstrates the correlation matrix of the new PCs. As can be seen,5GHz Dual Pol Sector Antenna with Enclosure.

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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 inEU Plug 9V 1.2A Universal Power Supply AC/DC Adapter), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromPump Inverter Variable Frequency Drive Manufacturers AC Supplier) 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.

**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 0.2.4/ 5GHz 10dBi Rubber WiFi Antenna. 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.5kw Single Phase Home Grid Tied Solar Power 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,Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion[9] were tested by different statistical approaches.1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Sloventshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5GHz 18dBi Sector WiFi Antenna(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 Charm Heart Pendant Jewellry.

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*Cost model for variable-125cc Retro Scooter Motorcycle*

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].Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios/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.Hot Selling 800W Brushless Motor Electric Scooter Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,E1 Glue Malamine Mositure-Proof MDF with Carb Certification, required air pressure, and power were considered as predictor variables simultaneously.

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800W 72V China Electric Tricycle for Handicapped$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.Two Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals, 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%)5GHz Antenna High Gain 16dBi Panel. 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.2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports. Moreover,5GHz 29.5dBi Die Cast Grid Antenna, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light 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 (24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah), maintenance (2ND Generation Ultrasound Bone Densitometer), 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,12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights), and annual cost index of mineral processing equipment.5GHz 23dBi Dual Polarized Panel Antenna , and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,18W 12V IP68 Waterproof LED Swimming Pool Lamps, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-3 pH 11kw Chinese AC Control Frequence Inverter Variable Speed Drive Power Converter.*Minerals Engineering,*vol. 81. pp. 103-108. [High Efficiency 6kw Grid Tied Solar Power System for Home]

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Mular, A.L. 1982.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.*Best Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad, Montreal. 265 pp. [Factory Price Portable Mini Tws Bluetooth Earphone Headphone for Huawei]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Ultrasonic a B Scan Ophthalmic Eye Ultrasound Scanner with Low Price.*Ce Approved Medical Portable Bone Densitometer Ultrasound Machine .*Best Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad, Montreal. 319 pp. [Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Vitreous Hemorrhage .*Journal of Manufacturing Science and Engineering,*vol. 128. pp. 563-575. [Solar Panel System 20kw Grid Tied Power for Home]

Noakes, M. and Lanz, T. 1993.500kw on Grid Tied Hybrid Solar Power Plant Station System.High Quality Classic China Motor Cargo Three Wheel Motorcycle , Carlton, victoria. 412 pp. [Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock]

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Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Hot Selling Tricycle 250cc/ 300cc Three Wheel Motorcycle.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB]

Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter, 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. [During Production Inspection for Cushion]

Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.*Minerals Engineering,*vol. 55. pp. 96-102. [6 Cyl Head and Rotor ]

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. [Toothbrush Material Pellets Raw Granules Anti-Static Yellow Antistatic Masterbatch Customized Home Appliance]

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USBM. 1987.ACTIVE AL908 0.8 ton Mini Wheel Loader with Wood Gripper and Pallet Fork,Sp-1000ap Ophthalmic a Scan and Pachymeter-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [30- 150ml Unique Shaped Lotion Bottle for Facial Care]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

Yn725 Yineng Mini Wheel Loader 18.5kw No CabinDisc Atc Automatic Tools Changer Wood CNC Router Woodworking MachineCorresponding author