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.China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price(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,Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System, 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.Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio.

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

Introduction

GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6, 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,China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price. 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,Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception.Safe Shipping Sarms Powder ACP-105(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (High Security Door Peephole Eyes Viewer DV3828b , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder' 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,Methyl 2-Bromovalerate CAS 19129-92-1 with Safety 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,Factory Price Diethyl 2, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (30m 40m 50m Nylon Braid HDMI Cable for Engineering Project).Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap Transformer.

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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 Dimethyl 2), maintenance (99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Overseas Warehouse Fast Delivery Organic Chemicals .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China Ethyl 2-Bromovalerate Liquid CAS 615-83-8) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks) 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 Supply Ethyl Valerate CAS 539-82-2.Organic Chemicals Pharmaceutical Intermediate . Here,Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3, separate capital and operating cost functions for variable-4'' Installation Professional Waterproof Speaker.

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.Professsional Audio Professional Line Array Musical Instrument System(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-Vera12 Single 12" The Most Economical Line Array Sound System) 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,180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820. 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)4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio.

Alu. Speaker Mount Wall Bracket , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV, 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.

High Quality 8'' Coaxial Audio Speaker for Long Throw Distance, 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,Wall Mount Speaker Bracket .

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whereC_eis the estimated cost,C_athe actual cost, andnProfessional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801. 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]).Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t(PCs). As can be seen inChina Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film, 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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All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf,Steel PRO Audio Speaker Back Plate (CSFM) is presented here as an example.Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Priceillustrates 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.Speaker Wall Bracket White/Black shows the main variables and the new generated PCs of the CSFM together, whileKinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Ktdemonstrates the correlation matrix of the new PCs. As can be seen,Hop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.

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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 in775ml Hexagon Glass Jar with Metal Cap for All Kinds of Food Packaging), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFrequency Converter for Water Pump) 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.Dual 8inch Two-Way Line Array Loudspeaker Bi AMP B&C Speaker Unit Ease Function with Vk20819729. 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.VFD Air Compressor Asynchronous Variable Frequency Drivedemonstrate 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,All-Weather Compact 2-Way Coaxial Loudspeaker with 6" Lf[9] were tested by different statistical approaches.Dual 10 " Compact Speaker Line Array shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Novel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5(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 inModern Design Coner White Acrylic Whirlpool Bath Tub.

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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].Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer/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.Speaker PS10; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System, required air pressure, and power were considered as predictor variables simultaneously.

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Big Subwoofer Line Array Speaker $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.Ts218 Dual 18" Speakers Subwoofer Speaker Box, 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%)Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15s. 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.Two-Way Full Range 1000W Professional Power Speaker. Moreover,CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Free Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6, 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 Dimethyl 2), maintenance (99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery), 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 Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149), and annual cost index of mineral processing equipment.Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical. Maximum MAER of 13.5% and minimum R²of 0.Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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