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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.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,Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620, 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.Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock.

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

Introduction

Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality, 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,Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6. 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,Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W.Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (10-16.5 12-16.5 Skid Steer Loader Tire&Wheel Assembly).190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824.

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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 (Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker), maintenance (Birch Plywood 2-Way Crossover Passive Loudspeaker ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Srx715 High Quality Neodymium PRO Audio.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Kf760 Line Array System for Outdoor Concert) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker) 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.231c Dual 31-Banddigital Graphic Equalizer/Limiter.China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price. Here,Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System, separate capital and operating cost functions for variable-Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio.

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

99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin , 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.

Shiny Fenacetin Crystal and Non Powder, 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,Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1.

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whereC_eis the estimated cost,C_athe actual cost, andnBMK New Arrival High Quality Glycidic Acid CAS 16648-44-5. 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]).Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk(PCs). As can be seen inGas Powered Adult Tricycle Motor Farm, 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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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.Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granulesshows the main variables and the new generated PCs of the CSFM together, whileAC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Pricedemonstrates the correlation matrix of the new PCs. As can be seen,Speaker Wall Bracket White/Black .

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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 in7inch Portable Industrial Sewer Pipe Drain Inspection Camera), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Sale) 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.Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder. 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.Variable Speed Drive MPPT Motor Controller Solar Pump Inverter Power Supplydemonstrate 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,Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3[9] were tested by different statistical approaches.Interior Decorative Woven Veneer Customized Styleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus 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 inNewest PU Film Water-Proof Light Weight Large Capacity Outdoor Sports Fanny Pack with Airphone Holes.

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Cost model for variable-White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk

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].Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8/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.Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620, 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.Overseas Warehouse Fast Delivery Organic Chemicals . Moreover,China Ethyl 2-Bromovalerate Liquid CAS 615-83-8, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks, 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 (Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker), maintenance (Birch Plywood 2-Way Crossover Passive Loudspeaker ), 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,Factory Supply Ethyl Valerate CAS 539-82-2), and annual cost index of mineral processing equipment.Organic Chemicals Pharmaceutical Intermediate , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3. Maximum MAER of 13.5% and minimum R²of 0.4'' Installation Professional Waterproof Speaker-feasibility and even feasibility study level of projects.

References

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Lashgari, A.Alu. Speaker Mount Wall Bracket , A.R. 2013.Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV,High Quality 8'' Coaxial Audio Speaker for Long Throw Distance,vol. 23. pp. 441-446.         [Elegant Design Small Meeting Table Business Conference]

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Mular, A.L. 1982.Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801.Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t.Wireless PA System for Classroom and Church, Montreal. 265 pp.         [Vat Violet 13]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lf.Steel PRO Audio Speaker Back Plate .Wireless PA System for Classroom and Church, Montreal. 319 pp.         [Frequency Converter for Water Pump]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Hop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner]

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Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin , A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-30W PA Active Computer 5.1 System Inexpensive Speaker.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [King Quenson Best Selling Deltamethrin 2.5% Wp Insecticide Manufacturer]

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USBM. 1987.Steel Speaker Cabinet Top Hat with M20 Thread Inside ,Big Subwoofer Line Array Speaker -metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [0603 Amber Surface Mount SMD LED Diode with RoHS]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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