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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.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6(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,20MHz Skin Rejuvenation Vacuum RF Lifting Machine, 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.China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe.

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

Introduction

China Supplier EEC and EPA Approved 1500cc Quadski, 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,Globalipl Body Face Slimming Fine Jaw Line 20MHz Device. 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,Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter.4seats 1500cc Kart(Khalesiet al.,2015).

Fangpower 400cc 4seat Side by Dune Buggy UTV.China Hot Selling 1500cc Amphibious Watercraftet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container(Smith and Mason, 1997).Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W(Converters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in China). One of the preliminary works was undertaken by Prasad (1969)Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array, Khalesi, and Khosfarman (2014).Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Single 15'' Sub Bass to U Series Full Range Speaker, the role of other effective parameters has simply been overlooked.Benzyl Benzoate Pharmaceutical Intermediates. Furthermore,Single 15'' Passive/Active Subwoofer with High Quality Plywood, 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-Professional Concert Line Array Speaker System Vt4888.Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use(SRA) and multiple regression (MRA) cost functions are presented.High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock. 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 (95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti' 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,Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Blue Bliss Lights).60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826.

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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 (Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid), maintenance (Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Column Speaker of Empty Alu. Cabinet ) 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.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. Here,Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8, separate capital and operating cost functions for variable-Factory Supply Diclofenac Sodium Powder.

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.Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5(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-Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806) 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,Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery 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)Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa.

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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.

Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827, 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,Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System.

High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5, 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, andnSafe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6. 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]).190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824(PCs). As can be seen inFree Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag, 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.Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125shows the main variables and the new generated PCs of the CSFM together, whileSGS Food Grade Certification 500ml Tin Containers Olive Oil Candemonstrates the correlation matrix of the new PCs. As can be seen,Kf760 Line Array System for Outdoor Concert.

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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 inPower supply 36V 250W LED driver power adapter 7A), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kw) 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 0.231c Dual 31-Banddigital Graphic Equalizer/Limiter. 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.2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chipdemonstrate 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,China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price[9] were tested by different statistical approaches.Gas Powered Adult Tricycle Motor Farmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System(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 inPnshar Paperboard Crush Testing Equipment.

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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].GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6/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

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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.Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1. Moreover,Local Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (BMK New Arrival High Quality Glycidic Acid CAS 16648-44-5, 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 (Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid), maintenance (Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse), 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,Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk), and annual cost index of mineral processing equipment.Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1, 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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