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.Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock(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,Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality, 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.Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6.

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

Introduction

Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W, 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,Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8. 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,60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826.Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824' 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),Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Shrimp Frozen Yellow Croaker Fish Blaster Cold Room Storage Supplier Portal Masterchef).Birch Plywood 2-Way Crossover Passive Loudspeaker .

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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 (Srx715 High Quality Neodymium PRO Audio), maintenance (Kf760 Line Array System for Outdoor Concert) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (231c Dual 31-Banddigital Graphic Equalizer/Limiter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best 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.Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System.Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio. Here,GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6, separate capital and operating cost functions for variable-China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price.

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.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception(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-Safe Shipping Sarms Powder ACP-105) 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,99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price. 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)Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin .

Shiny Fenacetin Crystal and Non Powder, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder 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.

Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6, 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,BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5.

Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk, 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, andnAnalgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1. 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]).Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5(PCs). As can be seen inSw-1000p Ophthalmic Pachymeter, 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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Speaker Wall Bracket White/Black ,High Security Door Peephole Eyes Viewer DV3828b (CSFM) is presented here as an example.Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granulesillustrates 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.AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Priceshows the main variables and the new generated PCs of the CSFM together, whileOil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensordemonstrates the correlation matrix of the new PCs. As can be seen,Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder.

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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 inCore Face Veneer Cutter), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromEco-Friendly Materials Narrow Rim Border New Design Freestanding Bath Tub Popular Acrylic Standing Alone Bathtubs #S014) 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.Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Delivery. 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.Interior Decorative Woven Veneer Customized Styledemonstrate 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,White Crystalline Powder Europe Warehouse Fast Delivery BMK Glycidate Pmk[9] were tested by different statistical approaches.Solvent Violet 59 shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8(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 in12oz Stainless Steel Double Wall Vacuum Insulated Wine Water Cup Wholesale.

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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].Factory Price Diethyl 2/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.Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality, required air pressure, and power were considered as predictor variables simultaneously.

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99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery$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.Overseas Warehouse Fast Delivery Organic Chemicals , 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%)China Ethyl 2-Bromovalerate Liquid CAS 615-83-8. 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.Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks. Moreover,Factory Supply Ethyl Valerate CAS 539-82-2, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Organic Chemicals Pharmaceutical Intermediate , 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 (Srx715 High Quality Neodymium PRO Audio), maintenance (Kf760 Line Array System for Outdoor Concert), 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,Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3), and annual cost index of mineral processing equipment.4'' Installation Professional Waterproof Speaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Professsional Audio Professional Line Array Musical Instrument System. Maximum MAER of 13.5% and minimum R²of 0.Vera12 Single 12" The Most Economical Line Array Sound System-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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