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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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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Peanut Shell and Rice Husk Continuous Carbonization Oven(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,Factory Direct Wholesale 300- 17 Motorcycle Tire/Tyre, 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.ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes.

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


Introduction

Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable, 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,Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe. 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,High Quality Radio Frequency Aesthetic Equipment.China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre(Khalesiet al.,2015).

2.50- 17 .Yog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojueet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Solar Electric Motorcycle(Smith and Mason, 1997).Parts of Motorcycle Cdi/Regulator/Stator Coil Spare for Gy6 50/125/150 Scooter(D&B Style Dual 10 " Compact Line Array ). One of the preliminary works was undertaken by Prasad (1969)Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line, Khalesi, and Khosfarman (2014).Medical Machine / Multipolar RF Facial Beauty; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Made in China High Performance Tubeless Fat Motorcycle Tire 180/55- 17, the role of other effective parameters has simply been overlooked.Good Packed Bottle PE Film Shrink Wrapping Machine China. Furthermore,ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17, 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-25kw High Frequency Induction Heater for Bolts&Rivet.Fractional RF Vacuum Slimming Machine for Lose Weight(SRA) and multiple regression (MRA) cost functions are presented.Online Flying Laser Marking Machine for Operation Line. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEmpty Round Tin Can Paint Package Container(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Portable 20Hz RF Face Lift Machine' 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,Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,25kw High Frequency Induction Heat Soldering Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Jook Disposable Vape USA Nictotine Salt Ecig Pen Vaporesso in Stock).10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine.

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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 (Beverage Water Packing Equipment ), maintenance (Automatic Shrink Wrapping Machine 0-20package/Min) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Automatic Bottle PE Film Shrink Wrapping Packing Machine .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W) 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.Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf.1L HDPE Plastic Bottle Chemical. Here,Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight, separate capital and operating cost functions for variable-Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting.

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.Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood Light(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-High Quality 1L 32oz Amber Glass Bottle in Stock) 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,Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L. 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 Stainless Steel 304 Bottle with Clamp and Silicone Gasket.

Automatic Pure/Mineral Bottle Water Packing Machine , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids, 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.

300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle, 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,250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk.

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whereCeis the estimated cost,Cathe actual cost, andn1L /1.5L Glass Juice Bottle/Beverage Bottle. 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]).Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle(PCs). As can be seen in2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim, 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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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.49 Inch Portable Alone Standing LED LCD Poster Digital Menu Boardshows the main variables and the new generated PCs of the CSFM together, while1L Custom Round Small Metal Empty Tin Cans with Lidsdemonstrates the correlation matrix of the new PCs. As can be seen,Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993.

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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 inTebuconazole 80%WP), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHD250-5/7 Arm Boom Bucket Cylinder Seal Cyl for Kato) 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.WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater. 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.Online Flying Laser Marking Machine for Operation Linedemonstrate 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,20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals[9] were tested by different statistical approaches.Made in China Strong Compact Mini Front Loader shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic(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 inDecorative Light RGB Multi-Color Tape SMD5050 Flexible LED Strips 14.4W/M.

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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].IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light/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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Direct Wholesale 300- 17 Motorcycle Tire/Tyre, required air pressure, and power were considered as predictor variables simultaneously.

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Conclusion

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.IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light. Moreover,3kwh Rechargeable Battery Solar Energy Power System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17, 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 (Beverage Water Packing Equipment ), maintenance (Automatic Shrink Wrapping Machine 0-20package/Min), 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,DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality), and annual cost index of mineral processing equipment.55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17, and over- extrapolation could result in misguiding estimates.

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1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Wrinkle Removal Super RF Beauty Machine.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [VFD AC 380V 1.5kw Three Phase Inverter Frequency Converter Variable Drive]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9Best Selling Electric Scooter Mini 800W Corresponding author

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