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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. 2017Â


Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1Cost modelling for flotation machines

S. Arfania; A.R.Made in China High Performance Tubeless Fat Motorcycle Tire 180/55- 17Water and Gas Supply HDPE Pipe Extrusion Production Line 315mm; 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.Good Packed Bottle PE Film Shrink Wrapping Machine China(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,ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17, 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 0.25kw High Frequency Induction Heater for Bolts&Rivet.

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


Fractional RF Vacuum Slimming Machine for Lose Weight, 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,Online Flying Laser Marking Machine for Operation Line. 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,Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line.Portable 20Hz RF Face Lift Machine(Khalesiet al.,2015).

ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17.DOT Certified off Road Chinese Motorcycle Tire 3.00- 17et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Alloy Inconel 625 Nickel Strip (Smith and Mason, 1997).Linear Type Thermal Film Packing Machine / Equipment(Compact Neodymium Line Array 12inch 400W Passive Speaker PA System). One of the preliminary works was undertaken by Prasad (1969)Good Solutions 3kw Solar Home Energy off Grid System, Khalesi, and Khosfarman (2014).Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,25kw High Frequency Induction Heat Soldering Machine, the role of other effective parameters has simply been overlooked.Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light. Furthermore,10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Beverage Water Packing Equipment .Automatic Shrink Wrapping Machine 0-20package/Min(SRA) and multiple regression (MRA) cost functions are presented.Automatic Bottle PE Film Shrink Wrapping Packing Machine . However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWholesale Folding Bed   Recliner Sofa Beds Fabric(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality 1L 32oz Amber Glass Bottle in Stock, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (LED Rigid Strip with Lens Backlight for LG Repair).1L Stainless Steel 304 Bottle with Clamp and Silicone Gasket.

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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 (Automatic Pure/Mineral Bottle Water Packing Machine ), maintenance (1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (20W 50W Portable Jpt/Ipg Laser Marking Machine in Germany) 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 /1.5L Glass Juice Bottle/Beverage Bottle.Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle. Here,Factory Outlet Dog Tag Laser Marking Machine for Metal 50W, separate capital and operating cost functions for variable-1500cc Watercraft with 3seat.

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.Portable-Rorary Type DOT Peen Marking Machine for Metal(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-Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993) 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,Underwater Light. 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)WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater.

20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic, 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.

8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light, 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,IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light.

IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light, 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, andn150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery. 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]).8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater Light(PCs). As can be seen in150cc Front Cabin Cargo Tricycle, 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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Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Battery,Shrink Wrapping Machine for Water Packing (CSFM) is presented here as an example.Bloom Tech Chemical Reagent Bis illustrates 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.Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800Wshows the main variables and the new generated PCs of the CSFM together, while99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5demonstrates the correlation matrix of the new PCs. As can be seen,IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light.

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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 inSea Freight Logistics Services Shipping Agent From Shenzhen China to Denmark), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCitycoco Electric Motorcycle E6 Cheap OEM E Bike) 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 0.55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17. 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.Alu. Speaker Mount Wall Bracket demonstrate 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,DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality[9] were tested by different statistical approaches.Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17(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 in500kg Lifting Pulling Equipment Traction Block.

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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].High Quality Motorcycle Parts Tyre /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.Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packing; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17, required air pressure, and power were considered as predictor variables simultaneously.

High Speed Bottles Shrink Wrapping Machine/Group Packing Machine. Moreover, the operating cost was detailed in different cost items.Can Beer Use Automatic PE Film Heat Shrink Wrapping Group Packaging Machine for Half Paper Box Juice Production Line, indicated inCAS: 79 -44-7 Dimethylcarbamoyl Chloride , and major extrapolation should be avoided.

1L Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk Bottle$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.Ce ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packaging, 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%)3kwh 150ah Solar Home System Li-ion Battery Factory. 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.Excellent Motorcycle Cylinder for Gy6 -100 . Moreover,3kwh Power Supply Solar Energy Battery Pack, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (25kw Electromagnetic Induction Heater for Tools Welding, 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 (Automatic Pure/Mineral Bottle Water Packing Machine ), maintenance (1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids), 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,Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light), and annual cost index of mineral processing equipment.Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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