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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



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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.Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head(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,Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw, 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.Glue E1 Carb Plain Mositure-Proof MDF.

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


Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification, 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,Draught Fan Digital LED Micro Air Wind Pressure Sensor. 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,HPM128 High stability Explosion-proof Pressure Transmitte.Compressor Low Cost Small Type Pressure Transducer(Khalesiet al.,2015).

Hot Sale Motorcycle with 150cc Gy6 Engine.HPM766 Dry diaphragm membrane sanitary pressure transduceret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 150CC Go Kart (Smith and Mason, 1997).150cc Gy6 Engine Gasoline Scooter(3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint). One of the preliminary works was undertaken by Prasad (1969)Gy6 Engine 150cc Scooter, Khalesi, and Khosfarman (2014).Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Digital Display Superior 316L integrated Pressure Transducer, the role of other effective parameters has simply been overlooked.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp. Furthermore,RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light, 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-Gy6 125cc Sproty Scooter /Motorcycle.Top Grade Cross-Country Motorcycle Tire 120/90-18(SRA) and multiple regression (MRA) cost functions are presented.Gy6 Engine 150cc Gasoline Scooter for Adults. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Flat film Clamp Hygienic Pressure Sensor Transmitter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAmerican Standard Oval Freestanding Thick Rim Bath Tub Made in China(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Steel Wheel Hub Buggy 150cc ATV' 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,EEC Euro 5 Gy6 -125cc Motorcycle Scooters

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 Engine Gas Scooter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Women's Long Sleeve T Shirt Workout Top Tight Yoga Tops Gym Sports Sweatshirt with Thumb Hole).Gy6 -50cc OEM Gas Scooter.

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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 (150cc off Road Utility ATV with Reverse ), maintenance (Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Gy6 150cc Gasoline Scooter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Zongshen 150cc Cargo Tricycle with Top Cover) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Gy6 150cc Gas Scooter) 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.150cc 5 Speeds Forwader ATV 4 Wheelers Farm .150cc Gy6 Engine Automatic ATV Sports Quad Bike. Here,Hot Selling Electric Race Vietnam Motorcycle Tire , separate capital and operating cost functions for variable-Gy6 150cc Gasoline Scooter.

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 IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme(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-Gy6 -50cc Scooter) 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,China 150cc Gy6 Gasoline Scooter. 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)Euro 4 Certificate.

2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, 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.

150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi., 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 Performance Motorcycle Tire for Senegal .

Double Rear Tyre Tricycle with 300cc Water Cooling Engine, 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, andn300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo . 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]).Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad(PCs). As can be seen inGy6 -50cc Scooter, 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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300cc Five Wheel Gas Cargo 3 Motorcycle for Adults ,Portable Automatic Ultrasound Bone Analyzer Densitometer(CSFM) is presented here as an example.Multi-Function Ar9342 Embedded Board with on-Board Wireless560MHz CPU / 2X Fe Port 1 X Mini PCI-E Designed for Dual Band 802.11nillustrates 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.Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650shows the main variables and the new generated PCs of the CSFM together, whileHjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metaldemonstrates the correlation matrix of the new PCs. As can be seen,300cc New Classic Cheap Cargo Tricycle .

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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 in100% Bio Colorful OEM Tearproof Strongly Toughness Poly Mailer Bags on En 13432 Standard), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade) 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.HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond. 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.Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9demonstrate 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,Ophthalmic Pachymeter [9] were tested by different statistical approaches.95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.6A Grade Indian Beard(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 inFactory Supply Magnesium Chloride Manufacturer Food Grade Flake Granular.

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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].50W LED Bulb Marking/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.50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Silicon; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw, required air pressure, and power were considered as predictor variables simultaneously.

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Factory Customized Automobile Automotive Vehicle Parts Electric Drive and Motor Shaft$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.Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125, 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%)30W Bird Rings Machine Laser Marker with Rotation Working Table. 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.Mini Handle Electric DOT Peen Marking Machine. Moreover,Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Pin Machine Suppliers Marker Systems, 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 (150cc off Road Utility ATV with Reverse ), maintenance (Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids), 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,USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device), and annual cost index of mineral processing equipment.1L Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdong, and over- extrapolation could result in misguiding estimates.

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Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [3D Four Wheel Alignment A9/Tire Changer/Garage Equipment/Automotive Equipment/Wheel Balancer/Auto Maintenance/Wheel Machine Price/Wheel]

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Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Automatic Thermostatic Vulcanizer for Sale ]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Wl80 Mini Loader with Yanmar Engine]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Softel 24 Channel Optional RF Fixed Analog Modulator, Montreal. vol.13. 166 pp.         [Blind Threaded Standoffs - Types Bso]

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Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [Cosmetic Grade L-Arginine with Best Price]

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Timm, N.H. 2002. Applied Multivariate Analysis. Springer-Verlag, New York.         [Se0/Fsc/ Carb Naf 18mm MDF Board]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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