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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

Water and Gas Supply HDPE Pipe Extrusion Production Line 315mmCost modelling for flotation machines

S. Arfania; A.R.ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17Compact Neodymium Line Array 12inch 400W Passive Speaker PA System; M.R. Khalesi

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.25kw High Frequency Induction Heater for Bolts&Rivet(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,Fractional RF Vacuum Slimming Machine for Lose Weight, 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.Online Flying Laser Marking Machine for Operation Line.

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


Introduction

Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line, 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,Portable 20Hz RF Face Lift Machine. 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,ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17.DOT Certified off Road Chinese Motorcycle Tire 3.00- 17(Khalesiet al.,2015).

Linear Type Thermal Film Packing Machine / Equipment.Good Solutions 3kw Solar Home Energy off Grid Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Single 15'' Passive/Active Subwoofer with High Quality Plywood(Smith and Mason, 1997).Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter(Wholesale Folding Bed   Recliner Sofa Beds Fabric). One of the preliminary works was undertaken by Prasad (1969)25kw High Frequency Induction Heat Soldering Machine, Khalesi, and Khosfarman (2014).Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine, the role of other effective parameters has simply been overlooked.Beverage Water Packing Equipment . Furthermore,Automatic Shrink Wrapping Machine 0-20package/Min, 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-Automatic Bottle PE Film Shrink Wrapping Packing Machine .Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching(SRA) and multiple regression (MRA) cost functions are presented.IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W. 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 (Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L HDPE Plastic Bottle Chemical' 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,1L Stainless Steel 304 Bottle with Clamp and Silicone Gasket, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Automatic Pure/Mineral Bottle Water Packing Machine (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Super Absorb Disposable Adult Diapers with PE Film Backsheet).1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids.

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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 (300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle), maintenance (250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,20W 50W Portable Jpt/Ipg Laser Marking Machine in Germany.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1L /1.5L Glass Juice Bottle/Beverage Bottle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle) 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.Factory Outlet Dog Tag Laser Marking Machine for Metal 50W.1500cc Watercraft with 3seat. Here,Portable-Rorary Type DOT Peen Marking Machine for Metal, separate capital and operating cost functions for variable-Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993.

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.Underwater 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-WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater) 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,20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals. 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)Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic.

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

IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming 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,150ah 3kwh Power Supply Deep Cycle Rechargeable Solar Battery.

8mm Thickness 160mm 8watt DC12V RGB LED Swimming Pool Underwater 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, andn10W Tabletop Series Fiber Laser Marking 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]).Manufacturer 3kwh Long Life Solar Home System with LiFePO4 Battery(PCs). As can be seen inBest Price 2021 New Product 3kwh Home Solar System for Outdoor Use, 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.99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5shows the main variables and the new generated PCs of the CSFM together, whilePolyamide Resin Hot Melt Adhesivedemonstrates the correlation matrix of the new PCs. As can be seen,55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17.

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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 Concrete Block Making Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820) 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 China High Quality Motorcycle Tires 2.75- 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.Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Saledemonstrate 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,Professional Factory Motorcycle Tyre and Motorbike [9] were tested by different statistical approaches.Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Motorcycle Parts Tyre (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 inHorizontal Veneer Slicing Machine.

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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 Speed Bottles Shrink Wrapping Machine/Group Packing Machine/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.Can Beer Use Automatic PE Film Heat Shrink Wrapping Group Packaging Machine for Half Paper Box Juice Production Line; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Fractional RF Vacuum Slimming Machine for Lose Weight, 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.25kw Electromagnetic Induction Heater for Tools Welding. Moreover,Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565, 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 (300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle), maintenance (250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk), 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,Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System), and annual cost index of mineral processing equipment.Professional Manufacture Y Solar Mc4 Energy System Connector PV, and over- extrapolation could result in misguiding estimates.

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IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Light, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [White Steel Wheel for Truck 17.5X6.00]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Ts218 Dual 18" Speakers Subwoofer Speaker Box800W EEC Electric MotorcycleCorresponding author

Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under a2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use