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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Against Wall Australian Freestanding Acrylic BathtubsCost modelling for flotation machines

S. Arfania; A.R.Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and InverterChrome Quadrant Shower Enclosure with Plastic Double Roller; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female(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,4000W/5000W off Grid Tied Solar Power System, 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 R2, 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 R2of 0.Internet TV Box Linux IPTV Zgemma I55.

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


L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres, 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,High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty. 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,24V 40ah Lithium Iron Battery for Electric Bike.Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector(Khalesiet al.,2015).

Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System.Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connectoret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio(Smith and Mason, 1997).Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty(Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4). One of the preliminary works was undertaken by Prasad (1969)2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home, Khalesi, and Khosfarman (2014).Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Waterproof IP65 Microinverter 1200W 120-230VAC Single Phase Grid Tied Solar Panel Use, the role of other effective parameters has simply been overlooked.Tycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Inverter. Furthermore,Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases, 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-New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre.Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied(SRA) and multiple regression (MRA) cost functions are presented.DC 1000V Mc4 Cable Connectors . However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion' 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,25kw engine garden/farm/ construction 0.8ton front end backhoe wheel 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,Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Factory Lithium 150ah Battery with BMS AC Output(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Liquid Soap Waterless Alcohol Hand Sanitizer Gel).Intelligent Power Saver for Industry Use.

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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 (CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm), maintenance (Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Made in China Strong Compact Mini Front Loader ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals) 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.Manufacture 20W Fiber Laser Marking Machine for Engraving.3kw Air-Cooled UHF Digital TV Transmitter DTV. Here,RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports, separate capital and operating cost functions for variable-Wholesale High Performance Metal Mc4 Connector.

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.No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip(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-1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car) 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,2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip. 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:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector.

Portable Fiber Laser Marking Machine for Vin Code/Number, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1L Empty Round Edilbe Cooking Oil Metal Tin, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Max Source Fiber Machine Laser Marking for Vin Number.

1L Custom Round Small Metal Empty Tin Cans with Lids, analysis of residuals, tests of MAER values and evaluation of R2were 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).

whereCeis the estimated cost,Cathe actual cost, andn2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty. 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]).500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo (PCs). As can be seen inPortable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoor, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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1L Metal Tin Cans with Lid for Paint or Chemical,Free Sample 5GHz Antenna Rubber Gain(CSFM) is presented here as an example.High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Priceillustrates 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.New Products Lift Recliner Chair Sofa shows the main variables and the new generated PCs of the CSFM together, whileHot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreaderdemonstrates the correlation matrix of the new PCs. As can be seen,Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module .

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in3PCS Set ABS Trolley Luggage Suitcase Travel Plastic Hard Shell), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromRetro Electric Motorcycle Scooter ) 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 0.4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipademonstrate 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,38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad[9] were tested by different statistical approaches.Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid(a1, a2, a3) and new intercept (a0) 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 inOEM Super Absorption Breathable Baby Diaper Soft Diapers.

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Cost model for variable-High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty

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].E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw/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.


Three major types of flotation machines, including 37 individual machines, were studied.Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,4000W/5000W off Grid Tied Solar Power System, required air pressure, and power were considered as predictor variables simultaneously.

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Sab-500 Ophthalmic a/B Scanner$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.[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h, 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 R2values 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%)200cc Reverse Wholesale Motor Light Three Wheel Motorcycle . In the MRA cases, this property is owed to the SFM (3.05%).


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.Industrial Energy Saving Device Made in China. Moreover,150cc Enclosed Gasoline Motorized Cargo Trike with Box , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner, 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 (CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm), maintenance (Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary), 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,Power Saver Box Energy), and annual cost index of mineral processing equipment.Power Saver Energy Saving Device, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Power Saver for Industrial . Maximum MAER of 13.5% and minimum R2of 0.Industry Saveing Box -feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

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