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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.Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8(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,60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826, 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.Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid.

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

Introduction

Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse, 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,OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W. 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,Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801.Column Speaker of Empty Alu. Cabinet (Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSw-1000p Ophthalmic Pachymeter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5' 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,Srx715 High Quality Neodymium PRO Audio

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Kf760 Line Array System for Outdoor Concert, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (The Peace Publicity Tin Button Badge as Souvenir).231c Dual 31-Banddigital Graphic Equalizer/Limiter.

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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 (China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price), maintenance (Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price) 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.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception.Safe Shipping Sarms Powder ACP-105. Here,99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price, separate capital and operating cost functions for variable-Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin .

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.Shiny Fenacetin Crystal and Non Powder(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-Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1) 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,Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6. 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)BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5.

Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1, 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.

Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5, 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,Hot Sell Isopropyl Alcohol 99.9%.

Speaker Wall Bracket White/Black , 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, andnHigh Security Door Peephole Eyes Viewer DV3828b . 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]).Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder(PCs). As can be seen inRaw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules, 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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Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery,White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk(CSFM) is presented here as an example.Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensorillustrates 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.Professional Multifunction Active Stage Speaker Wood Bt with Laser Lightsshows the main variables and the new generated PCs of the CSFM together, whileChina Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Saledemonstrates the correlation matrix of the new PCs. As can be seen,Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8.

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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 inTartlets Shell Maker Egg Cheese Tart Pie Press Bakery Machine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromInterior Decorative Woven Veneer Customized Style) 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.Factory Price Diethyl 2. 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.Small Wheel Loader Wl80 800kg Loaders for Farm Workdemonstrate 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,Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery[9] were tested by different statistical approaches.Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Enginesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap Transformer(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 inExcellent Brand in China Leader Manufacturer Factory Price Children Outdoor Playground.

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Cost model for variable-Factory Supply Dimethyl 2

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].99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery/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.Overseas Warehouse Fast Delivery Organic Chemicals ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826, required air pressure, and power were considered as predictor variables simultaneously.

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Factory Supply Ethyl Valerate CAS 539-82-2$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.Organic Chemicals Pharmaceutical Intermediate , 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%)Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3. 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.4'' Installation Professional Waterproof Speaker. Moreover,Professsional Audio Professional Line Array Musical Instrument System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Vera12 Single 12" The Most Economical Line Array Sound System, 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 (China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price), maintenance (Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System), 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,180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820), and annual cost index of mineral processing equipment.4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Alu. Speaker Mount Wall Bracket . Maximum MAER of 13.5% and minimum R²of 0.Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

PP/PC Sheet Extrusion MachinePerkins Genuine Cyl Head Assy Corresponding author