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.Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid(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,Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse, 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.OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W.

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

Introduction

Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801, 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,Column Speaker of Empty Alu. Cabinet . 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,Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components.High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate(Khalesiet al.,2015).

Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8.Factory Supply Diclofenac Sodium Powderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Small Compact Front Wheel Loader / Zl08 Farm Garden Mini(Smith and Mason, 1997).Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5(Sw-1000p Ophthalmic Pachymeter). One of the preliminary works was undertaken by Prasad (1969)Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806, Khalesi, and Khosfarman (2014).Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa, the role of other effective parameters has simply been overlooked.320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824. Furthermore,PRO Audio Accessories of Line Array Rigging K1 , 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-Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827.Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System(SRA) and multiple regression (MRA) cost functions are presented.High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5. 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 (Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSpeaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824' 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 Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Bling Newest Shiny Glitter Cosmetic Pouch Makeup Toiletry Bag).Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System.

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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 (Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio), maintenance (GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Safe Shipping Sarms Powder ACP-105) 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.99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price.Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin . Here,Shiny Fenacetin Crystal and Non Powder, separate capital and operating cost functions for variable-Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1.

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.Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6(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-BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5) 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,Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk. 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)Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1.

Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Sell Isopropyl Alcohol 99.9%, 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.

Speaker Wall Bracket White/Black , 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,High Security Door Peephole Eyes Viewer DV3828b .

Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder, 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, andnProfessional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3. 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]).Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery(PCs). As can be seen inAC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price, 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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Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8,Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery(CSFM) is presented here as an example.Professional Multifunction Active Stage Speaker Wood Bt with Laser Lightsillustrates 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.China Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Saleshows the main variables and the new generated PCs of the CSFM together, whileEco-Friendly Materials Narrow Rim Border New Design Freestanding Bath Tub Popular Acrylic Standing Alone Bathtubs #S014demonstrates the correlation matrix of the new PCs. As can be seen,Factory Price Diethyl 2.

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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 inTop Brand New Shantui 220HP Dozer SD22 with Transmiss Parts), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSolvent Violet 59 ) 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.Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap Transformer. 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.Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Enginesdemonstrate 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,Factory Supply Dimethyl 2[9] were tested by different statistical approaches.L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery(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 in30ml Body Lotion for Hotel and Travelling.

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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].China Ethyl 2-Bromovalerate Liquid CAS 615-83-8/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.Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse, required air pressure, and power were considered as predictor variables simultaneously.

Factory Supply Ethyl Valerate CAS 539-82-2. Moreover, the operating cost was detailed in different cost items.Organic Chemicals Pharmaceutical Intermediate , indicated inChina Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film, and major extrapolation should be avoided.

Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3$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 0.4'' Installation Professional Waterproof Speaker, 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%)Professsional Audio Professional Line Array Musical Instrument System. 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.Vera12 Single 12" The Most Economical Line Array Sound System. Moreover,180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio, 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 (Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio), maintenance (GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6), 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,Alu. Speaker Mount Wall Bracket ), and annual cost index of mineral processing equipment.Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Quality 8'' Coaxial Audio Speaker for Long Throw Distance. Maximum MAER of 13.5% and minimum R²of 0.Wall Mount Speaker Bracket -feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Perkins Genuine Cyl Head Assy Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200WCorresponding author