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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


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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.Rosen 1kw Grid Tied on Solar System to Global Market(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,475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use, 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 0.959 33kw on Grid Solar Home System with Power Inverter.

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


498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, 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,Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery. 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,955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.0.18mm Zebra Wooden Veneer(Khalesiet al.,2015).

Europe Popular 5kw Grid Tied Home Solar Energy System with Ce.High Grade Block Board for Furniture Produceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Poplar Film Faced Plywood Board with Carb Certificate(Smith and Mason, 1997).954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate(High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light). One of the preliminary works was undertaken by Prasad (1969)952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, Khalesi, and Khosfarman (2014).32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer, the role of other effective parameters has simply been overlooked.Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use. Furthermore,China Factory Pricing Empty Round Food Grade Nut Tin Cans, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-High Performance 6kw Grid Tied Home Solar Energy System.Oil Treatment Packaging Tin Container Can(SRA) and multiple regression (MRA) cost functions are presented.Rosen 8kw Grid Tied on Solar System to Global Market. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Factory-Slicer Natural American Red Oak Veneer in 0.50mm, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Battery' 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,3 Liter Tin Packing Chemical Can with Spout, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Food Grade Round Tin Can for Welded Milk Powder Packaging(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Selling Products Insulated Stainless Steel Tumbler Coffee Mug Cup with Lid).1gallon Round Metallic Tin Can with Metal Handle for Paint.

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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 (Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W), maintenance (Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Fluid Storage Containers Lubricants for Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (0.8t 800kg Small Loader) 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 Direct High Quality Glue Round Tin Cans with Brush.350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric. Here,Cute Street Electric Scooter with LED Light 60V800W20ah, separate capital and operating cost functions for variable-Lady's Smart Electric Scooter Motorcycle 60V800W20ah.

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.Reconstituted Composite Woven Veneer Braided(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-Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult) 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,Roof Mounting 20kw Grid Tied Solar Power System Home. 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)Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin.

Wolf 0.8t Mini Loader with Grass Fork, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket, 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.

Zl08f Wheel Loader with Rops Cab, 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,2HP 1 Phase Frequency Converter.

7.5HP Three Phase Frequency Converter, 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, andn3HP 1 Phase Frequency Converter. 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]).3HP 1 Phase Frequency Converter(PCs). As can be seen inWhite Powder Vitamin a for Food and Feed Grade, 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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3HP Frequency Converter Vector Three Phase,15HP Three Phase Frequency Converter(CSFM) is presented here as an example.High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stockillustrates 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.Deltamethrin 2.5% EC Pesticide & Insecticidesshows the main variables and the new generated PCs of the CSFM together, whileHe-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeterdemonstrates the correlation matrix of the new PCs. As can be seen,Power Smart Electric Scooter with LED Light 60V800W20ah.

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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 inGlass Bottle/ Jar/ Food Container), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDoypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch) 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 0.1HP Frequency Converter Vector Three Phase. 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.Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4demonstrate 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,15HP Frequency Converter Vector Three Phase[9] were tested by different statistical approaches.Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cansshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2HP Frequency Converter Vector Single Phase(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 inSecond Generation Stainless Steel Double Layer Vacuum Cola Wine Bottle with Cover.

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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].Home Use 6kw Grid Tied Solar Power System with High Performance/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.Hot Sale 10kw 10000W off Grid Solar Power System Home Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use, required air pressure, and power were considered as predictor variables simultaneously.

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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.Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs. Moreover,Technical Wood Veneer MDF Boards for Cupboard, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Small Metal Tin Can with Open Top Lid for Lubricant, 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 (Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W), maintenance (Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use), 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,Long Using Life Shuttering Plywood with Logo for Construction), and annual cost index of mineral processing equipment.Huihuang Bamboo Fence Timbers, and over- extrapolation could result in misguiding estimates.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Single 12" Plastic Waterproof Speaker]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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