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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

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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.Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black(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,HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1, 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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


Introduction

Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP, 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,Upgraded Full HD North America Internet ATSC TV Decoder. 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 Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip.High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inOphthalmic Ultrasonic Pachymeter and Biometer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Frequency Inverter Drive AC Motor Speed Controller with Great Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Sell Best Water Proof Sewer Storm Pipeline Inspection Robot Price).China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC.

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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 (3000W Grid Tied Solar System for Home Use), maintenance (Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Sapelli Plywood.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth) 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.Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart.Electric Scooter 800W 60V20ah Lead Acid. Here,hot selling small avant articulated tractor wheel loader for garden landscaping, separate capital and operating cost functions for variable-UV White Birch Plywood 18mm Carb E0 Cabinet.

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.18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood(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-China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas) 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,Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic. 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)350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive.

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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.

SGS Food Grade Certification 500ml Tin Containers Olive Oil Can, 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,Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans.

1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids, 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, andn2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel. 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 Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin(PCs). As can be seen inSporty Electric Scooter , 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.High Purity O-Phthalaldehydeshows the main variables and the new generated PCs of the CSFM together, whileWholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audiodemonstrates the correlation matrix of the new PCs. As can be seen,Xangshi Factory Newest Casing U8 S905W Internet TV Set Top Android Box 2GB RAM 16GB ROM for Watching.

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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 Spc Flooring 4mm 5mm 7mm Click Tile), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNitrogen Fertilizer Steel Grade as From China Factory) 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.External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router. 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.Scarlet/ Violet / Purple/ Golden/Green Pigment Paste for Printing and Dyeingdemonstrate 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,48V/60V 800W Electric Scooter with Lead-Acid Battery[9] were tested by different statistical approaches.Hotel Bedroom Furniture/Hotel Furniture/Apartment Living Room Sofa/Hospitality Sofa/Hotel Sofa/Modern Sofa for 5 Star shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.800W 60V Lead-Acid Battery Electric Bicycle with Back Rest(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 inHot Sell Plane Pin Police Star Customized Medal for Award Ceremony Custom Religion with Ribbon Metal Logo Embossing Awards.

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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].Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB/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.800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1, 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.Commercial Solar System 100kw Grid Tied /on 100kVA 60kw. Moreover,Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT, 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 (3000W Grid Tied Solar System for Home Use), maintenance (Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm), 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,Hot selling compact 800kgs wheel loader for garden), and annual cost index of mineral processing equipment.High Efficiency 6kw Grid Tied Solar Power System for Home, and over- extrapolation could result in misguiding estimates.

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Wolf Wl80 Mini Dumper Euro 5 Loader for Sale.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [0.8 Ton Mini Wheel Loader with Lowest Price]

Noakes, M. and Lanz, T. 1993.0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader.High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector, Carlton, victoria. 412 pp.         [Color Custom in-Line Diesel Engine for Generator Sets]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Hot Seller Custom Popular Bearbrick Designer Toys]

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Prasad, L. 1969.High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty.Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile, Metallurgy and Petroleum, Montreal. pp. 3-15.         [High Quality 98% Tretinoin ]

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250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Outdoor Sport Waterproof Running Fitness Belt Waist Bag with Reflective]

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USBM. 1987.800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle ,2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Acid Dyes]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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