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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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(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,Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP, 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.Upgraded Full HD North America Internet ATSC TV Decoder.

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

Introduction

High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip, 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,High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty. 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,Mag City Scooter 80km Range Two Wheel Electric Motorcycle.Electric Scooter/ Motorcycle/TM-BQ(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Chloramphenicol CAS 56-75-7 China Factory Supplier(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System' 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,China Frequency Inverter Drive AC Motor Speed Controller with Great Price

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),3000W Grid Tied Solar System for Home Use(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Logo Colors 1.2ml/280mAh Cbd Oil Vape E Cigarette).Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm.

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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 (Sapelli Plywood), maintenance (The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Electric Scooter 800W 60V20ah Lead Acid) 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.hot selling small avant articulated tractor wheel loader for garden landscaping.UV White Birch Plywood 18mm Carb E0 Cabinet. Here,18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood, separate capital and operating cost functions for variable-China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas.

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.Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic(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-350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive) 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,French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can. 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)250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap.

SGS Food Grade Certification 500ml Tin Containers Olive Oil Can, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel.

China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin, 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).

whereC_eis the estimated cost,C_athe actual cost, andnChinese Eougem Zl08 Wheel Loader with Torque 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]).Articulated Mini Wheel Loader Er08 Telescopic Boom(PCs). As can be seen inPlastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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.Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audioshows the main variables and the new generated PCs of the CSFM together, while24W Bluetooth Soundbox & WiFi Mobile APP Voice Control Customized Smart RGB Tunable Children Room Kids LED Ceiling Lampdemonstrates the correlation matrix of the new PCs. As can be seen,External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inNew Arrival Women 925 Sterling Siver Emerald Ring Factory Price), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCE Er08 Mini Wheel Loader with One-Year Warranty for Sale) 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 0.800W 60V Lead-Acid Battery Electric Bicycle with Back Rest. 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.Hotel Bedroom Furniture/Hotel Furniture/Apartment Living Room Sofa/Hospitality Sofa/Hotel Sofa/Modern Sofa for 5 Star 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,Electric Motorcycle 800W for Adult Motor[9] were tested by different statistical approaches.800W Stadium Lighting Serials LED Projector Lightshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB(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 inServo Driver Wire Harness with Molex Stac64 34729 Series 2 Rows Crimping Connector.

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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].Rosen 5kw on Grid Solar System with Tied Inverter/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.Solar Energy System 5kw Panel Home Grid Tied Power; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP, required air pressure, and power were considered as predictor variables simultaneously.

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1kw Solar Power System Grid Tied 1000W on Panel Price$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.Commercial Solar System 100kw Grid Tied /on 100kVA 60kw, 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%)Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration. In the MRA cases, this property is owed to the SFM (3.05%).

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.Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT. Moreover,Hot selling compact 800kgs wheel loader for garden, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Efficiency 6kw Grid Tied Solar Power System for Home, 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 (Sapelli Plywood), maintenance (The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory), 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,China Safe Automatic CVT 150cc Go Kart Motor with Reverse), and annual cost index of mineral processing equipment.3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive, 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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