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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

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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.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception(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,Safe Shipping Sarms Powder ACP-105, 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 0.99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price.

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


Introduction

Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin , 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,Shiny Fenacetin Crystal and Non Powder. 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,Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1.Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6(Khalesiet al.,2015).

BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5.Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmket al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for on Grid Solar Panel System 30kw Tied Home Power(Smith and Mason, 1997).Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1(Srx715 Sing 15" Professional Speaker). One of the preliminary works was undertaken by Prasad (1969)Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5, Khalesi, and Khosfarman (2014).Hot Sell Isopropyl Alcohol 99.9%; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Speaker Wall Bracket White/Black , the role of other effective parameters has simply been overlooked.High Security Door Peephole Eyes Viewer DV3828b . Furthermore,Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder, 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-Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3.Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery(SRA) and multiple regression (MRA) cost functions are presented.White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk. 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 (Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional 10 " Aluminum Speaker Basket(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery' 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,99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Overseas Warehouse Fast Delivery Organic Chemicals , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Ethyl 2-Bromovalerate Liquid CAS 615-83-8(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2012 Strapless Unique Wedding Dress/Wedding Gown).Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks.

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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 (Factory Supply Ethyl Valerate CAS 539-82-2), maintenance (Organic Chemicals Pharmaceutical Intermediate ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (4'' Installation Professional Waterproof Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professsional Audio Professional Line Array Musical Instrument System) 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.Vera12 Single 12" The Most Economical Line Array Sound System.180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820. Here,4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio, separate capital and operating cost functions for variable-Alu. Speaker Mount Wall Bracket .

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.Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV(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-High Quality 8'' Coaxial Audio Speaker for Long Throw Distance) 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,Wall Mount Speaker Bracket . 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)Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801.

Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t, 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.

Wireless PA System for Classroom and Church, 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,All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf.

Steel PRO Audio Speaker Back Plate , 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, andnHop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa. 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]).Single 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730(PCs). As can be seen inGood Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults, 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.30kw Grid Tied Solar Power System Home Popular in Philippinesshows the main variables and the new generated PCs of the CSFM together, whileDV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professionaldemonstrates the correlation matrix of the new PCs. As can be seen,Sport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5.

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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 inProchloraz 52.5�/45�/45% EW /25%ME/50%WP), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H) 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.Speaker PS10. 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.Line Array of Parts for PRO Audio Speakerdemonstrate 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,30W PA Active Computer 5.1 System Inexpensive Speaker[9] were tested by different statistical approaches.Medrogestone Top Quality Low Price 977- 79 -7shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Steel Speaker Cabinet Top Hat with M20 Thread Inside (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 inIP66 Solar Outdoor Garden Lights LED Park Lamp.

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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].Ts218 Dual 18" Speakers Subwoofer Speaker Box/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.Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15s; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Safe Shipping Sarms Powder ACP-105, 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.CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical. Moreover,Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c, 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 (Factory Supply Ethyl Valerate CAS 539-82-2), maintenance (Organic Chemicals Pharmaceutical Intermediate ), 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,High Qualty Line Array Loudspeaker), and annual cost index of mineral processing equipment.DSP Active Line Array Speaker, 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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