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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door FurnitureCost modelling for flotation machines

S. Arfania; A.R.Waterproof IP65 Microinverter 1200W 120-230VAC Single Phase Grid Tied Solar Panel UseProfessional Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819; 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.Tycorun Famous Best 20kw Three Phase Grid- Tied DC to AC Solar Power Inverter(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,Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases, 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.New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre.

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


Growatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied, 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,DC 1000V Mc4 Cable Connectors . 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,2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports.12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion(Khalesiet al.,2015).

15kw Solar Inverter Grid Tied.Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diodeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Vitamin a Palmitate CAS 79 -81-2(Smith and Mason, 1997).China Famous Brand Hr912 Shovel Loader for Agriculture Working(Electric Bike 800W ODM Mountain Ebike with Powerful Motor). One of the preliminary works was undertaken by Prasad (1969)Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System, Khalesi, and Khosfarman (2014).25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter, the role of other effective parameters has simply been overlooked.China Factory Lithium 150ah Battery with BMS AC Output. Furthermore,Intelligent Power Saver for Industry Use, 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-CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm.Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary(SRA) and multiple regression (MRA) cost functions are presented.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Made in China Strong Compact Mini Front Loader , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Selling 800W Brushless Motor Electric Scooter Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals' 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,No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Silicone Cold Shrink Tube for Telecom Connector).IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector.

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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 (Portable Fiber Laser Marking Machine for Vin Code/Number), maintenance (1L Empty Round Edilbe Cooking Oil Metal Tin) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Max Source Fiber Machine Laser Marking for Vin Number) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1L Custom Round Small Metal Empty Tin Cans with Lids) 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.2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty.500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo . Here,1L Microstome Metal Drum Customization Printing Logo, separate capital and operating cost functions for variable-1L Metal Tin Cans with Lid for Paint or Chemical.

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.Free Sample 5GHz Antenna Rubber Gain(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-Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module ) 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,1L Printed Round Metal Paint Tin Can with Lid. 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)4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box.

38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid, 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.

High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, 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,E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw.

Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner, 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, andnErbium-Doped Fiber Amplifier Optical Power Adjustable . 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]).Dirt Bike for 199 Cc Displacement(PCs). As can be seen inElectric Motorcycle , 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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[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h,200cc Reverse Wholesale Motor Light Three Wheel Motorcycle (CSFM) is presented here as an example.Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooterillustrates 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.Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Priceshows the main variables and the new generated PCs of the CSFM together, whileGood Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Deliverydemonstrates the correlation matrix of the new PCs. As can be seen,Industrial Energy Saving Device Made in China.

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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 inTool Waist Bag for Widely Using), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Stable Universal Pressure Transmitter) 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.Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner. 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.0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farmdemonstrate 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,Power Saver Box Energy[9] were tested by different statistical approaches.Gy6 Engine Gas Scootershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Power Saver Energy Saving Device(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 inChina Factory Wholesale Corn Starch Eco Friendly PLA Recycle Reusable Biodegradable Packaging Plastic Poly Mailer Bags with Certified.

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Cost model for variable-Power Saver for Industrial

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].Industry Saveing Box /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.Industry Saveing Box ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases, required air pressure, and power were considered as predictor variables simultaneously.

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250cc Motor Cabin Tricycle Cargo with Canopy$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.Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price, 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%)Flexible Label Laser Marking Machine. 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.Flying Laser Marking System Marker. Moreover,800W Color Fashion Electric Motorcycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine, 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 (Portable Fiber Laser Marking Machine for Vin Code/Number), maintenance (1L Empty Round Edilbe Cooking Oil Metal Tin), 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,Label Marking Equipment Laser Machine for Car Body Labels), and annual cost index of mineral processing equipment.Electric Bike 800W ODM Mountain Ebike with Powerful Motor, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Latest Electric Scooter 800W Citycoco. Maximum MAER of 13.5% and minimum R2of 0.16/24 Channel RF Combiner Passive Mixer-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

Child Resistant Stand up Exit Bag1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in ChinaCorresponding author

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