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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

Metal Engine Oil Can Recycling Lubricant Tin Packaging ContainerCost modelling for flotation machines

S. Arfania; A.R.LED Outdoor Lighting Compatible to Amercian and European Niches Swimming Pool LightJwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion Machine; 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.Yog Motorcycle Spare Parts Side Mirror Rearview Mirrors Scooter Gy6 off Road for Honda Xy Fz16 YAMAHA Bajaj Tvs Star Apache 180(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,Motorcycle Parts Sparking Plug for Cg125 Cg200 Cg150 Gy6 -150, 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.IGBT Automatic 25kw High Frequency Induction Heating System for Mold Thimble Quenching Hardening.

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


Introduction

Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150, 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,Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light. 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,IP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountain.IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Light(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Sale High Performance Vector Frequency Converter 380V 45/55kw(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming 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,EEC EPA Extreme Adult RC Snowmobile

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Skin Renew Thermal RF & Fractional 2 in 1 Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Home Use RF Velashape Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Mud Terrain Light Truck Tire).4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh.

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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 (Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter), maintenance (Snow Mobile Rubber Track Gas Adult Ski Scooter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Price Home Solar Energy System 3kwh with 5 Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Design Stretch Mark Removal Beauty Machines) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Powerful Snow Ski LED Lights Adult Racing a Snowmobile) 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.Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery.Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House. Here,RF Skin Tightening Face Lifting Machine, separate capital and operating cost functions for variable-3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System.

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.Hot Selling Face Lifting and Slimming Chin Machine(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-110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car) 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,RF Vacuum Face Lifting and Slimming Chin Machine. 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)Gas Ski Adult PRO Electric Start Snow Scooter.

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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.

20MHz RF Wrinkle Removal, 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,Vacuum Shape Velashape Body Slimming SPA Equipment.

Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6, 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, andn20MHz Skin Rejuvenation Vacuum RF Lifting 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]).China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe(PCs). As can be seen inWholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System, 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.Reusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packagingshows the main variables and the new generated PCs of the CSFM together, whileAnycast M2 Plus Wireless WiFi Display Dongle Receiver for Mobile Phone Accessories Compatible with Ios/Android/Computerdemonstrates the correlation matrix of the new PCs. As can be seen,4seats 1500cc Kart.

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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 inWaterproof Dumpling Makeup Bag Travel Cosmetic Organizer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality 99% CAS 16595-80-5 Levamisole Hydrochloride) 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.China Hot Selling 1500cc Amphibious Watercraft. 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.Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis Systemdemonstrate 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,Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W[9] were tested by different statistical approaches.Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warrantyshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array(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 inGalvanized Colored Corrugated Roofing Sheets and Trapezoid.

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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].Single 15'' Sub Bass to U Series Full Range Speaker/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.Benzyl Benzoate Pharmaceutical Intermediates; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Motorcycle Parts Sparking Plug for Cg125 Cg200 Cg150 Gy6 -150, 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.Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti. Moreover,Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620, 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 (Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter), maintenance (Snow Mobile Rubber Track Gas Adult Ski Scooter), 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,Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock), and annual cost index of mineral processing equipment.Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality, and over- extrapolation could result in misguiding estimates.

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Skin Whitening Machine / Fractional RF, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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