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



Line Array with Accessories for PRO AudioCost modelling for flotation machines

S. Arfania; A.R.Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids; 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.150cc Front Cabin Cargo Tricycle(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,OTR G2 Grader Tubeless Tyre 17.5-25, 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 0.1L Metal Screw Top Round Machine Oil Tank.

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


Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container, 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,E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre . 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,Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre .1L Paint Tin Cans/Empty Food Grade Can with Lid(Khalesiet al.,2015).

17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders.20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyreet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for AC Board China Vector Control 60Hz to 50Hz VFD Drive Price(Smith and Mason, 1997).High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights(10inch Speaker for Music Bar PRO Audio Sound System). One of the preliminary works was undertaken by Prasad (1969)China Electric Tricycle 350W 500W 800W for Adult, Khalesi, and Khosfarman (2014).Llantas High Quality L5 OTR Tyre 26.5-25; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1L Empty Round Brake Fluid Can Boxes, the role of other effective parameters has simply been overlooked.Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder. Furthermore,Motor King Rear Double Axle Tricycle for Heavy Loader, 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-Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding.1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent(SRA) and multiple regression (MRA) cost functions are presented.1L /1000ml Extra Virgin Olive Oil Metal Can. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (1L Olive Oil Can Cooking Empty Tin Can/Pot Metal, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAll-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Heavy Loader 5wheel Cargo Tricycle with Cabin' 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,Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Gy6 -125/ 150ccformaular, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Double Chasis Cargo Tricycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (QS Courier Services Air Shipping From China to Puerto Rico).Euro 5 Gy6 -50cc 4t Moped.

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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 (Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter ), maintenance (Water Proof Closed Box Delivery Tricycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3840watts 50Hz 80A Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Barrow Mini Dumper with Three Wheels) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverter) 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.Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor.20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine. Here,Gy6 150cc EEC Scooter, separate capital and operating cost functions for variable-250W- 800W Handicapped Mobility Scooter for Old People with Basket.

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.with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty(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-Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty) 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,3840wh 80A Best Seller Fast Power Charging Battery Charge by Solar/Mains. 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)Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W.

Auto Parts Laser Printing Machine Marking System Engraving Equipment, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Water-Proof Cover 3 Wheel Cargo Gasoline Trike, 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.

Jpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine, 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,2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W.

Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty, 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, andn30W CO2 Touch Screen Laser Marking Coding Engraving Machine. 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]).with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty(PCs). As can be seen inSell Well 800W 60V Electric Motorcycle for Daily Riding, 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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Factory Supply Biomass Rice Husk Charcoal Making Machine,Hospital Equipment Portable Ultrasound Bone Densitometer at Best Price(CSFM) is presented here as an example.Durable VDSL Modem Router with 2.4G/5.0g Dual WiFi Vdb1421-W2 1ge Wan+4ge+2FXSillustrates 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.MPPT Function Variable Frequency Drive Motor Controller Power Supply Generatorshows the main variables and the new generated PCs of the CSFM together, whileHot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,Ce Approved Ho-100 Eyes Hospital Use Ophthalmic Ultrasound Scanner.

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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 inSanitary Ware Bathroom Bathtub with Accessories Acrylic Jacuzzi Massage Bath Hot Tub Kb-406), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromKomatsu PC270-7 Arm Cyl Ket) 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.Low Failure Rate High Efficiency Induction Metal Heating Machine . 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.Water/Gas-Supply PP PE HDPE Plastic Pipe/Tube Extrusion Making Machinedemonstrate 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,Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan[9] were tested by different statistical approaches.Frequency Converter for Small Power Motors 3pH 380V 50/60Hzshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe(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 baby diapers similar to privately branded disposable cloths.

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Cost model for variable-Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 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].Hot Sale Mini High Frequency 25kw Induction Heater Price/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.Convex Series Probe Type Wireless Mini Ultrasound Scanner; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,OTR G2 Grader Tubeless Tyre 17.5-25, required air pressure, and power were considered as predictor variables simultaneously.

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Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash$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.High Quality Economic Ultrasound a/B Scan for Ophthalmology , 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%)Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye. 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.Ophthalmic a Scan and Pachymeter Combined Unit. Moreover,Ophthalmic Optical Pachymeter & Biometer / a Scan , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier, 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 (Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter ), maintenance (Water Proof Closed Box Delivery Tricycle), 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,Roadside Emergency Set Auto Car Tool Kit), and annual cost index of mineral processing equipment.SA831r Outdoor Return Path CATV Trunk Amplifier, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim. Maximum MAER of 13.5% and minimum R2of 0.Portable Induction Heater for Crystal Growth-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Dry diaphragm membrane sanitary pressure transducer.Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale,vol. 46, no.6. pp. 559-562.         [3.00- 17 Super High Quality Natural Rubber Motorcycle Tire.]

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling]

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Lashgari, A.Softel 4u 12 Channel Agile CATV Analog RF Modulator, A.R. 2013.Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool,Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car,vol. 23. pp. 441-446.         [1000L Stainless Steel Milk Chilling Tank]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Double 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.High Quality Melamine MDF with Competitive Price Ce Carb Grade,vol. 115. pp. 789-797.         [New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip]

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Water-Proof Cover 3 Wheel Cargo Gasoline Trike, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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