GENERAL PAPERS

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S. Arfania; A.R.Waterproof Outdoor Dual 10 " Line ArrayVimode Electric Scooter Adult Motorcycle for Adults 800W; 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.Aluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food with Zipper(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,Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container, 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.PRO Audio Powered Line Array Tw- 10 Outdoor Speaker.

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

Introduction

Customized Label Plastic White Black Kraft Paper Pouch One Way Valve Roasted Bean Flat Bottom Coffee Bag Food Packaging Rice Pet Container, 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,Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough 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,V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker.Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Sub(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (LG LD550DUN-TKB1 video wall system with matrix switcher, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Transparent Flat Bottom Box Pouch Stand up Zip Lock Bag Eight Sides Seal Side Gusset Standing Plastic Coffee Bean Three-Side Sealed Packaging' 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,10 Inch KTV System Woofer

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Container, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Laminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Container(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Decorative Light RGB Multi-Color Tape SMD5050 Flexible LED Strips 14.4W/M).10 Inch Compact 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 (10 Inch Indoor Outdoor Professional Loudspeaker), maintenance (99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging) 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.Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder.RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives. Here,Thiosemicarbazide CAS 79 -19-6, separate capital and operating cost functions for variable-O-Phthalaldehyde CAS 643- 79 -8.

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.High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price(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-PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub) 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,Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers. 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)1-Bromo-3.

Low Price 4, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Purity CAS 64318- 79 -2 Gemeprost, 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.

Ziplock Dog Food Bag with Bottom Gusset, 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,High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1.

Custom Printed Food Grade Ziplock Packing Bag, 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, andnBiodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container. 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]).Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container(PCs). As can be seen inFactory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8, 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.PRO Audio 10'' Ferrite Woofer Speakershows the main variables and the new generated PCs of the CSFM together, whileWhole Sale Home Antique Style Large Acrylic Freestanding Bathtubdemonstrates the correlation matrix of the new PCs. As can be seen,10 Active Full Range Stage Sound Loud Speaker System Audio.

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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 inRubber Accelerator Mtt), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale) 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.Outdoors Professional/PRO Audio Speaker . 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.Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre demonstrate 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,Dual 10 " Two Way PA Power Line Array Speaker[9] were tested by different statistical approaches.Manufacturer of Rectangular Brake Oil Motor Engine Tin Canshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2(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 inCheap Pressed Wire Drawing Natural Diamond Dies.

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Cost model for variable-Single 10'' Two Way Line Array PRO Audio

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].Double 10 Inch Line Array PRO Audio /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.Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container, 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.Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch. Moreover,200X5000mm Vacuum Sealer Bag Roll for Food Packaging, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag, 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 (10 Inch Indoor Outdoor Professional Loudspeaker), maintenance (99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9), 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,Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole), and annual cost index of mineral processing equipment.Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron. Maximum MAER of 13.5% and minimum R²of 0.Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Bag-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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