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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



Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap TransformerCost modelling for flotation machines

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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 Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip(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,L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25, 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 0.150cc Quad 4WD ATV for Adults.

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


Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, 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 Underwater Pool Light with Edison Chip. 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 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty.5kw Grid Tied Solar Inverter Three Phase for Home Use(Khalesiet al.,2015).

High Quality Solar PV Grid- Tied Inverters.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chipet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Cheap Price PA Speaker of Line Array Rigging 8 Inch (Smith and Mason, 1997).Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P(China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery). One of the preliminary works was undertaken by Prasad (1969)2 Ton Loader 3 Wheel Cargo Tricycle, Khalesi, and Khosfarman (2014).Grid Tied Inverter 3kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,5kw Solar PV Kit Power Gird Tied Inverter, the role of other effective parameters has simply been overlooked.Factory Mining Tyre. Furthermore,Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power, 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-150cc Front Cabin Cargo Tricycle.OTR G2 Grader Tubeless Tyre 17.5-25(SRA) and multiple regression (MRA) cost functions are presented.1L Metal Screw Top Round Machine Oil Tank. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in125cc Retro Scooter Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre ' 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,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Electric Tricycle 350W 500W 800W for Adult, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Llantas High Quality L5 OTR Tyre 26.5-25(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (PPGI Prepainted Galvanized Metal Roofing Corrugated Sheet).1L Empty Round Brake Fluid Can Boxes.

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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 (Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder), maintenance (Motor King Rear Double Axle Tricycle for Heavy Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1L /1000ml Extra Virgin Olive Oil Metal Can) 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.1L Olive Oil Can Cooking Empty Tin Can/Pot Metal.Heavy Loader 5wheel Cargo Tricycle with Cabin. Here,High Precision and Fast Speed Nonmetal CO2 Laser Marking Machine, separate capital and operating cost functions for variable-Motor Cargo Tricycle for 2-3ton Loader.

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.1L Empty Round Tin Can with Plastic Lid Manufacturer(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 Extra Virgin Olive Oil Metal Can with Cover) 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,Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W. 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)Gy6 -125/ 150ccformaular.

Double Chasis Cargo Tricycle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Euro 5 Gy6 -50cc 4t Moped, 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.

Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter , 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,Water Proof Closed Box Delivery Tricycle.

3840watts 50Hz 80A Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, 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, andnBarrow Mini Dumper with Three Wheels. 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]).3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverter(PCs). As can be seen inAsapp-II Ammonium Polyphosphate for Intumescent Paints , 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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20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine,Gy6 150cc EEC Scooter(CSFM) is presented here as an example.Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Subillustrates 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.High Quality European Style Modern Furnitureshows the main variables and the new generated PCs of the CSFM together, while1.5kw 3phase Frequency Converter 50Hz to 60Hzdemonstrates the correlation matrix of the new PCs. As can be seen,250W- 800W Handicapped Mobility Scooter for Old People with Basket.

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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 inSmall Rubber Track for Skid Steer Loaders and Pavers Undercarriage), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMetal Tin Can Engine Oil Empty Tinplate Container) 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.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty. 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.Motorcycle Spare Part Turn Light for Gy6 -150demonstrate 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,3840wh 80A Best Seller Fast Power Charging Battery Charge by Solar/Mains[9] were tested by different statistical approaches.Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mowershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W(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 inFood Grade CMC Carboxymethyl Cellulose Thickener.

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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].Water-Proof Cover 3 Wheel Cargo Gasoline Trike/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.Jpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25, required air pressure, and power were considered as predictor variables simultaneously.

2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W. Moreover, the operating cost was detailed in different cost items.Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty, indicated inSolar Energy System 3kwh Power Home Built in Inverter, and major extrapolation should be avoided.

30W CO2 Touch Screen Laser Marking Coding Engraving Machine$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.with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 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%)Solid State Inductive Heating Furnace for Tyre Cord Wire. 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.Factory Supply Biomass Rice Husk Charcoal Making Machine. Moreover,Hospital Equipment Portable Ultrasound Bone Densitometer at Best Price, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Ce Approved Ho-100 Eyes Hospital Use Ophthalmic 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 (Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder), maintenance (Motor King Rear Double Axle Tricycle for Heavy Loader), 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,Outdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty), and annual cost index of mineral processing equipment.Low Failure Rate High Efficiency Induction Metal Heating Machine , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan. Maximum MAER of 13.5% and minimum R2of 0.Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty.Hot Sale Mini High Frequency 25kw Induction Heater Price,vol. 46, no.6. pp. 559-562.         [5GHz Antenna High Gain 16dBi Panel]

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [1L Empty Round Edilbe Cooking Oil Metal Tin]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System]

Khalesi, M. R., Zarei, M. J.,12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Convex Series Probe Type Wireless Mini Ultrasound Scanner.Minerals Engineering,vol. 81. pp. 103-108.         [China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price]

Kim, G.H., An, S.H., and Kang, K.I. 2004.2ND Generation Ultrasound Bone Densitometer, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag]

Lashgari, A.Hot Selling 2ND Generation Ultrasound Bone Densitometer, A.R. 2013.Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash,High Quality Economic Ultrasound a/B Scan for Ophthalmology ,vol. 23. pp. 441-446.         [High Power 2000W Metal CNC Fiber Laser Cutting Machine for]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Made in China PA Speaker System Three Way Loudspeakers]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye,vol. 115. pp. 789-797.         [Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [50cc 150cc 200CCC 300cc Adult EPA/Ce 3 Wheel Gas Scooter]

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Mular, A.L. 1982.Ophthalmic Optical Pachymeter & Biometer / a Scan .1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier.Roadside Emergency Set Auto Car Tool Kit, Montreal. 265 pp.         [Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.SA831r Outdoor Return Path CATV Trunk Amplifier.2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim.Roadside Emergency Set Auto Car Tool Kit, Montreal. 319 pp.         [Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99% with Best Price]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Portable Induction Heater for Crystal Growth.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Okoume Veneer]

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USBM. 1987.Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF,The Best Sale and Low Price Chinese Brake Lathe -metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Eboat Minibar S Nicotine Salt Juice Closed Pod System]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aProfessional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816