GENERAL PAPERS

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S. Arfania; A.R.IGBT Induction Heater Heating Equipment for Metal Surface Hot Selling Powder Thiabendazole CAS 148- 79 -8; M.R. Khalesi

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.Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS(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,Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery, 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.Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine.

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

Introduction

Vin Number Fiber Laser Marking 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,Duroheater Dh- 25kw Handheld Induction Heating Machine. 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,Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System.Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine(Khalesiet al.,2015).

Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine.20W 30W Handheld Vin Number Metal Logo Laser Marking Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality CAS No. 63428-84-2 Alcohol Soluble Polyamide PA Resin for Packaging Ink(Smith and Mason, 1997).Velashape Slimming Cellulite Removal Body Sculpting Fat Machine(Reusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packaging). One of the preliminary works was undertaken by Prasad (1969)Popular 3kwh Hot Saling Li-ion Battery Supplier, Khalesi, and Khosfarman (2014).CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,EEC EPA Extreme Adult RC Snowmobile, the role of other effective parameters has simply been overlooked.Skin Renew Thermal RF & Fractional 2 in 1 Machine. Furthermore,Home Use RF Velashape Machine, 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-4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh.Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter(SRA) and multiple regression (MRA) cost functions are presented.Snow Mobile Rubber Track Gas Adult Ski Scooter. 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 (Factory Price Home Solar Energy System 3kwh with 5 Years Warranty, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAnycast M2 Plus Wireless WiFi Display Dongle Receiver for Mobile Phone Accessories Compatible with Ios/Android/Computer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Design Stretch Mark Removal Beauty Machines' 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,3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hot Selling Face Lifting and Slimming Chin Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Select Material Non-Slip Stone Vinyl Flooring with Locking 3.5mm).RF Vacuum Face Lifting and Slimming Chin Machine.

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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 (Gas Ski Adult PRO Electric Start Snow Scooter), maintenance (Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Skin Whitening Machine / Fractional RF.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (20MHz RF Wrinkle Removal) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Vacuum Shape Velashape Body Slimming SPA Equipment) 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.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6.20MHz Skin Rejuvenation Vacuum RF Lifting Machine. Here,China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe, separate capital and operating cost functions for variable-China Supplier EEC and EPA Approved 1500cc Quadski.

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.Globalipl Body Face Slimming Fine Jaw Line 20MHz Device(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-Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter) 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,4seats 1500cc Kart. 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)Fangpower 400cc 4seat Side by Dune Buggy UTV.

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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.

Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array, 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,Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220.

Single 15'' Sub Bass to U Series Full Range Speaker, 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, andnBenzyl Benzoate Pharmaceutical Intermediates. 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]).Single 15'' Passive/Active Subwoofer with High Quality Plywood(PCs). As can be seen inSolvent Violet 10b 9, 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.Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis Systemshows the main variables and the new generated PCs of the CSFM together, whileLight Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warrantydemonstrates the correlation matrix of the new PCs. As can be seen,95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902.

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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 inCheap Hollow Concrete Brick Making Machine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from7.5HP Three Phase Frequency Converter) 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.Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception. 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.High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light 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,Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620[9] were tested by different statistical approaches.Electric Motor AC Output Power and Triple Frequency Converter VFD Drive Invertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock(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 inResin Crafts.

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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].Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 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

Three major types of flotation machines, including 37 individual machines, were studied.Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery, 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.Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801. Moreover,Column Speaker of Empty Alu. Cabinet , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components, 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 (Gas Ski Adult PRO Electric Start Snow Scooter), maintenance (Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus), 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,High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate), and annual cost index of mineral processing equipment.Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8, and over- extrapolation could result in misguiding estimates.

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References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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