GENERAL PAPERS

China High Quality Ut-O100 Ophthalmic Pachymeter Ultrasound Scanner for EyeCost modelling for flotation machines

S. Arfania; A.R.10 Inch Indoor Outdoor Professional LoudspeakerLoading Machine; 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.99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9(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,Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet, 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 0.50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub.

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

Introduction

50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging, 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,Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder. 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,RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives.Thiosemicarbazide CAS 79 -19-6(Khalesiet al.,2015).

O-Phthalaldehyde CAS 643- 79 -8.High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Stc Series Three Phase Dynamo Generator (Smith and Mason, 1997).PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub(Boring Machine Tools Micro Head F1type CNC Heads Set). One of the preliminary works was undertaken by Prasad (1969)Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers, Khalesi, and Khosfarman (2014).1-Bromo-3; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Low Price 4, the role of other effective parameters has simply been overlooked.High Purity CAS 64318- 79 -2 Gemeprost. Furthermore,Ziplock Dog Food Bag with Bottom Gusset, 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-High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1.Custom Printed Food Grade Ziplock Packing Bag(SRA) and multiple regression (MRA) cost functions are presented.Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container. 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 (Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inRg-Ap3220 Dual Band and Radio 5.8g Wireless Poe Access Point / Ap(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie' 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,Outdoors Professional/PRO Audio Speaker

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dual 10 " Two Way PA Power Line Array Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Classic Movie Character Car Table Decoration Miniature Action Figure Gift for Halloween Day).Single 10'' Two Way Line Array PRO Audio.

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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 (Double 10 Inch Line Array PRO Audio ), maintenance (Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nut) 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.High Quality Oxytetracycline Powder 100% CAS 79 -57-2.CAS: 79 -44-7; Dimethylcarbamoyl Chloride;. Here,Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch, separate capital and operating cost functions for variable-200X5000mm Vacuum Sealer Bag Roll for Food Packaging.

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 Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag(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-Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole) 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,Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags. 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)Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron.

Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Bag, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2, 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.

Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10, 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,Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2.

D&B Q1 Style Dual 10 Inch Professional 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, andnProfessional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10. 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]).46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV(PCs). As can be seen inHot Sale Five Star Hotel Standard Soaking Oval Shaped Size Whirlpool Bathtubs Standing Alone Acrylic Bathtub #S014, 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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PA 10 -25W 4 Inch Sound Ceiling Speaker,Runtz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo Bag(CSFM) is presented here as an example.Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802illustrates 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.Double 10'' Compact Line Arrayshows the main variables and the new generated PCs of the CSFM together, whileIndustry Saveing Box demonstrates the correlation matrix of the new PCs. As can be seen,Aluminum Foil Plastic Papacking Vacuum Puffed Food Bag.

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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 in75 Inch 4K Anti-Glare Screen 20 Point Multi-Touch Smart Board Interactive Whiteboard), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDiesel Engine Parts Fuel Injection Nozzle 147sm327) 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.High bright Samsung 46" 49" 55" LCD video wall screen monitor. 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-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediatesdemonstrate 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,Factory Sell 99% Purity Diclofenac Sodium Powder CAS 15307- 79 -6[9] were tested by different statistical approaches.Carb Approved Birch Plywoodshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk(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 inManufacturer Enamel Printing Aluminum Badge Bar Pin Metal Car Logo No Minimun.

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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].10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show /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.Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendly; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet, required air pressure, and power were considered as predictor variables simultaneously.

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Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium$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.Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4, 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%)High Quality Printed Food Packaging Doypack Aluminium Zipper Bags. 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.High Quality Argipressine CAS 113- 79 -1 with Best Price. Moreover,1-Bromo-3, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020, 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 (Double 10 Inch Line Array PRO Audio ), maintenance (Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD), 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,Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China), and annual cost index of mineral processing equipment.55 Inch Stand Alone Digital Free Standing LCD Advertising Display, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Top Selling 1. Maximum MAER of 13.5% and minimum R²of 0.Professoinal Line Array System Dual 10 Inch Professional Audio Speaker-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Bloom Tech API Ceftriaxone Sodium 104376- 79 -6China 250cc New 3 Wheel Motorcycle Motor TricycleCorresponding author