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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**

**Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce ULCost modelling for flotation machines**

**S. Arfania; A.R.Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle****IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light; 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 150cc China 3 Wheel Motor Tricycle Chinese Commercial(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,High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , 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.Mountain Using Motorcycle with Strong Steel Tube Frame.

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

**Introduction**

10W 20W 30W portable Fiber Laser Marking Machine, 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,CATV 860MHz One Way Amplifier. 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,CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz.CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties(Khalesi*et al.,*2015).

High Efficiency SIM Card Fiber Laser Marking Machine.2021 New Machine Grade CO2 Laser Marking with a Discount*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price(Smith and Mason, 1997).20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel(2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle). One of the preliminary works was undertaken by Prasad (1969)Mopa Fiber Laser Marking Machine for Black Printing, Khalesi, and Khosfarman (2014).20W Table Fiber Laser Marking Machine for Metal Stainless Steel; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Portable Handheld Metal Plastic DOT Peen Marking Machine, the role of other effective parameters has simply been overlooked.5150-5850MHz Sector Panel Antenna with Gain 13dBi. Furthermore,Dirt Bike for Sport Using with Large Power 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-Electricity Saver Device .3 Phase 50 - 60Hz Intelligent Power Saver(SRA) and multiple regression (MRA) cost functions are presented.High Efficient Industrial Electric Motor Power Saver. 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 (EEC 125/300cc Euro 5V Max Scooter-Alex One, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inUns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nuts(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Electricity Power Reducer ' 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,Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Mixing Barrel Stamping Mold).Three Wheel Motor Tricycle Rickshaw Rear Axle.

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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 (Gas Powered Adult Tricycle Motor Farm), maintenance (Motorcar for Both Civilc and Police Using with 320cc Displacement) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Police Using of Motorcycle for Cruiser with Displacement 320cc.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (7kwh Multi-Function Solar Energy Lithium Battery Ion for Home) 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.5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain.45cm Offset Satellite TV Antenna with 200 Hour UV Test. Here,5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi, separate capital and operating cost functions for variable-45cm Offset Satellite Dish TV Antennas.

*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.150ah Lithium Iron Phosphate (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-2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things) 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,E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers. 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)C Band Satellite TV Antenna 150cm.

Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1, 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}Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter, 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,Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female.

4000W/5000W off Grid Tied Solar Power System, 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*Internet TV Box Linux IPTV Zgemma I55. 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]).L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres(PCs). As can be seen inSkycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester, 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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24V 40ah Lithium Iron Battery for Electric Bike,Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector(CSFM) is presented here as an example.Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tunerillustrates 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.Gy6 -125/ 150ccformaularshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Coffee /Candy/Weed Plastic Containerdemonstrates the correlation matrix of the new PCs. As can be seen,Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System.

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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 inTigris Refit Full Sets Oval Steering Wheel Car Badge Emblem), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found from110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market) 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.Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty. 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.Diesel Engine Parts Fuel Injection Nozzle 156sm420demonstrate 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,2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home[9] were tested by different statistical approaches.Gy6 Engine 150cc Scootershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms(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 in1000W 1500 Watts Metal Tube Pipe Fiber Laser Cutting Machine for Kitchen Equipment.

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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].Tycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Inverter/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.Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , required air pressure, and power were considered as predictor variables simultaneously.

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DC 1000V Mc4 Cable Connectors $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 0.2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, 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%)12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion. 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.15kw Solar Inverter Grid Tied. Moreover,Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Famous Brand Hr912 Shovel Loader for Agriculture Working, 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 (Gas Powered Adult Tricycle Motor Farm), maintenance (Motorcar for Both Civilc and Police Using with 320cc Displacement), 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,Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System), and annual cost index of mineral processing equipment.25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter. Maximum MAER of 13.5% and minimum R^{2}of 0.China Factory Lithium 150ah Battery with BMS AC Output-feasibility and even feasibility study level of projects.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty, neural networks, and case-based reasoning.*Building and Environment,*vol. 39, no. 10. pp. 1235-1242. [Chrome Quadrant Shower Enclosure with Plastic Double Roller]

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Mular, A.L. 1982.Wholesale High Performance Metal Mc4 Connector.*No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip.*1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car, Montreal. 265 pp. [Professional Speaker Compective PRO Audio ]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip.*IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector.*1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car, Montreal. 319 pp. [High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Portable Fiber Laser Marking Machine for Vin Code/Number.*Journal of Manufacturing Science and Engineering,*vol. 128. pp. 563-575. [New Products Lift Recliner Chair Sofa ]

Noakes, M. and Lanz, T. 1993.1L Empty Round Edilbe Cooking Oil Metal Tin.2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K, Carlton, victoria. 412 pp. [Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreader]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,*CIM Bulletin,*February. pp. 87-89. [Yingjiao Wholesale Custom 100 240V Power Supply 12V 1.5A 15V 1.2A 24V 800mA DC Adapter]

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Prasad, L. 1969.500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo .1L Microstome Metal Drum Customization Printing Logo, Metallurgy and Petroleum, Montreal. pp. 3-15. [Retro Electric Motorcycle Scooter ]

Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-1L Metal Tin Cans with Lid for Paint or Chemical.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics]

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Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.*Minerals Engineering,*vol. 55. pp. 96-102. [67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa]

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. [Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System]

Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.*Information Circular*9170, 94. US Bureau of Mines. [Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2]

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USBM. 1987.Free Sample 5GHz Antenna Rubber Gain,Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module -metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [Stage DJ Disco Rg Mini Laser Light]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

Dare Dual 8" Neodymium Active Line Array Set PA SystemNew X96 Mini Android Set Top Box 4K S905W 1GBCorresponding author