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.20MHz RF Wrinkle Removal(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,Vacuum Shape Velashape Body Slimming SPA Equipment, 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.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6.

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

Introduction

20MHz Skin Rejuvenation Vacuum RF Lifting Machine, 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 Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe. 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,China Supplier EEC and EPA Approved 1500cc Quadski.Globalipl Body Face Slimming Fine Jaw Line 20MHz Device(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inConverters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in China(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock' 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),Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (by Airfreight / Express Couriers to Cuba/Cyprus/Czech Republic/ Denmark /Djibouti /Dominica Rep. /Ecuador/Egypt/Ei Salvador From China Door Service).Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W.

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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 (Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8), maintenance (60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W) 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.Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801.Column Speaker of Empty Alu. Cabinet . Here,Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components, separate capital and operating cost functions for variable-High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate.

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.Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8(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-Factory Supply Diclofenac Sodium Powder) 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,Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5. 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)Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806.

Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 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 (Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa, 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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,PRO Audio Accessories of Line Array Rigging K1 .

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whereC_eis the estimated cost,C_athe actual cost, andnUpgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System. 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]).High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5(PCs). As can be seen inSanyou Slg New Efi System 125cc -150cc Gasoline Scooter, 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.Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205shows the main variables and the new generated PCs of the CSFM together, whileOriginal Quality Motorcycle Parts Spark Plug Cap for Gy6 125demonstrates the correlation matrix of the new PCs. As can be seen,Birch Plywood 2-Way Crossover Passive Loudspeaker .

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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 inLow Price Corrugated Steel Plate with Easy Installation), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts) 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.Kf760 Line Array System for Outdoor Concert. 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.Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2demonstrate 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,4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker[9] were tested by different statistical approaches.2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chipshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.231c Dual 31-Banddigital Graphic Equalizer/Limiter(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 in120L plastic sanitary storage waste containers for sale.

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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].Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System/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.Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Vacuum Shape Velashape Body Slimming SPA Equipment, 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.Manufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin . Moreover,Shiny Fenacetin Crystal and Non Powder, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1, 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 (Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8), maintenance (60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826), 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,Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6), and annual cost index of mineral processing equipment.BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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