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



Factory-Slicer Natural American Red Oak Veneer in 0.50mmCost modelling for flotation machines

S. Arfania; A.R.High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHSMetronome and Tuner; 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.High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty(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,0.4m 5GHz Parabolic Antenna with Gain 23dBi, 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.Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price.

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


5 Wheels Gasoline Cargo Tricycle with Front Cabin, 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,IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light. 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,Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on.New Mini Willys Jeep Available on 110cc(Khalesiet al.,2015).

150cc ATV for Adults Lmatv-150hm.12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warrantyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006(Smith and Mason, 1997).High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip(HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond). One of the preliminary works was undertaken by Prasad (1969)L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25, Khalesi, and Khosfarman (2014).150cc Quad 4WD ATV for Adults; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, the role of other effective parameters has simply been overlooked.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip. Furthermore,2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty, 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-5kw Grid Tied Solar Inverter Three Phase for Home Use.High Quality Solar PV Grid- Tied Inverters(SRA) and multiple regression (MRA) cost functions are presented.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in50cc EEC Motorcycle Scooter Efi Moped(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2 Ton Loader 3 Wheel Cargo Tricycle' 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,150cc Front Cabin Cargo Tricycle

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,OTR G2 Grader Tubeless Tyre 17.5-25, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1L Metal Screw Top Round Machine Oil Tank(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Design Slim Waterproof Travel School Business Laptop Backpack with USB Charging Port).Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container.

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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 (E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre ), maintenance (Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1L Paint Tin Cans/Empty Food Grade Can with Lid.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre) 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.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights.China Electric Tricycle 350W 500W 800W for Adult. Here,Llantas High Quality L5 OTR Tyre 26.5-25, separate capital and operating cost functions for variable-1L Empty Round Brake Fluid Can Boxes.

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.Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder(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-Motor King Rear Double Axle Tricycle for Heavy Loader) 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,Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding. 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)1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent.

1L /1000ml Extra Virgin Olive Oil Metal Can, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1L Olive Oil Can Cooking Empty Tin Can/Pot Metal, 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.

Heavy Loader 5wheel Cargo Tricycle with Cabin, 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,High Precision and Fast Speed Nonmetal CO2 Laser Marking Machine.

Motor Cargo Tricycle for 2-3ton Loader, 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, andn1L Empty Round Tin Can with Plastic Lid Manufacturer. 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]).1L Extra Virgin Olive Oil Metal Can with Cover(PCs). As can be seen inDah Solar 100kw System Price on Grid Tied Inverter for Commercial Use, 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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Gy6 -125/ 150ccformaular,Double Chasis Cargo Tricycle(CSFM) is presented here as an example.6-Cylinder Diesel Engine Water Coolant for Electric Generator Setillustrates 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.Recording Studio Equipment Vera Series Super Power Speaker Boxshows the main variables and the new generated PCs of the CSFM together, whileWilson Parts Eim Module Engine Interface 258 -9753 2589755 Controldemonstrates the correlation matrix of the new PCs. As can be seen,Euro 5 Gy6 -50cc 4t Moped.

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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 inPan Tilt Sewer Pipe Inspection Camera Robot CCTV), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLine Array with Accessories for PRO Audio) 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.Water Proof Closed Box Delivery Tricycle. 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.10inch Speaker for Music Bar PRO Audio Sound 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,3840watts 50Hz 80A Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate[9] were tested by different statistical approaches.All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lfshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Barrow Mini Dumper with Three Wheels(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 inHigh Quality Okoume/Bintangor Faced Furniture Plywood with Good Price.

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Cost model for variable-3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverter

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].Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor/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.20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,0.4m 5GHz Parabolic Antenna with Gain 23dBi, required air pressure, and power were considered as predictor variables simultaneously.

Gy6 150cc EEC Scooter. Moreover, the operating cost was detailed in different cost items.250W- 800W Handicapped Mobility Scooter for Old People with Basket, indicated inSteel Speaker Cabinet Top Hat with M20 Thread Inside , and major extrapolation should be avoided.

with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty$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.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty, 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%)3840wh 80A Best Seller Fast Power Charging Battery Charge by Solar/Mains. 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.Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W. Moreover,Auto Parts Laser Printing Machine Marking System Engraving Equipment, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Water-Proof Cover 3 Wheel Cargo Gasoline Trike, 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 (E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre ), maintenance (Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre ), 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,Jpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine), and annual cost index of mineral processing equipment.2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty. Maximum MAER of 13.5% and minimum R2of 0.30W CO2 Touch Screen Laser Marking Coding Engraving Machine-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty.Solid State Inductive Heating Furnace for Tyre Cord Wire,vol. 46, no.6. pp. 559-562.         [Durable VDSL Modem Router with 2.4G/5.0g Dual WiFi Vdb1421-W2 1ge Wan+4ge+2FXS]

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Khalesi, M. R., Zarei, M. J.,High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Factory Supply Biomass Rice Husk Charcoal Making Machine.Minerals Engineering,vol. 81. pp. 103-108.         [Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory]

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Lashgari, A.Ce Approved Ho-100 Eyes Hospital Use Ophthalmic Ultrasound Scanner, A.R. 2013.Outdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty,Low Failure Rate High Efficiency Induction Metal Heating Machine ,vol. 23. pp. 441-446.         [Unique Aroma Vs Love Spell Body Mist Concentrated Perfume Fragrance Oils Wholesale for Making]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan,vol. 115. pp. 789-797.         [Water/Gas-Supply PP PE HDPE Plastic Pipe/Tube Extrusion Making Machine]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [5L Metal Round Cans for Paint or Chemical Packaging]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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