GENERAL PAPERS

220VDC to 220VAC Variable Frequency InverterCost modelling for flotation machines

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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.Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder(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,V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker, 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.Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Sub.

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

Introduction

Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffee, 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 Coffee Bean Three-Side Sealed Mylar Chocolate. 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,Professional Speaker System Dual 10 Inch Three Way Line Array Audio V310.Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show(Khalesiet al.,2015).

Outdoor Speaker Dual 10 Inch Line Array.49" VGA high performance monitor LCD video wall panel with extention cableet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car(Smith and Mason, 1997).LG LD490DUN-TJB2 LCD wall mount video with 2X2 panel(12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS). One of the preliminary works was undertaken by Prasad (1969)High Quality Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price Acid Glycolic, Khalesi, and Khosfarman (2014).1.8mm ultra narrow bezel 16: 9 LED TV video wall for home; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,wall mount 16: 9 LCD screen video for big project, the role of other effective parameters has simply been overlooked.aluminium video wall LCD HD 1080P flat panel display. Furthermore,LG LD550DUN-TKB1 video wall system with matrix switcher, 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-Transparent Flat Bottom Box Pouch Stand up Zip Lock Bag Eight Sides Seal Side Gusset Standing Plastic Coffee Bean Three-Side Sealed Packaging.Transparent Flat Bottom Box Pouch Stand up Zip Lock Eight Sides Seal Bag Side Gusset Standing Plastic Clear Coffee Bags Manufacturer Reusable PE Pet Food(SRA) and multiple regression (MRA) cost functions are presented.Laser Aluminum Resealable Value Pack Stand up Zip Lock Bag Hologram Self Seal Zipper Plastic Sealing Digital Food Packaging Mylar Paper Glossy. 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 (L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250W, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Prfessional Audio 10''karaoke Loudspeaker' 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 Indoor Outdoor Professional Loudspeaker

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (UV Gel. Nail Art. Furry Polish. 15ml. 800color).50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub.

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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 (50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging), maintenance (Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Thiosemicarbazide CAS 79 -19-6) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (O-Phthalaldehyde CAS 643- 79 -8) 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 Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price.PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub. Here,Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers, separate capital and operating cost functions for variable-1-Bromo-3.

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.Low Price 4(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-High Purity CAS 64318- 79 -2 Gemeprost) 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,Ziplock Dog Food Bag with Bottom Gusset. 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)High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1.

Custom Printed Food Grade Ziplock Packing Bag, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container, 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.

Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container, 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,Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie.

Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar 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, andnChina Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear. 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]).10 Active Full Range Stage Sound Loud Speaker System Audio(PCs). As can be seen inSuper Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult, 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.Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Cashows the main variables and the new generated PCs of the CSFM together, whileBuy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5demonstrates the correlation matrix of the new PCs. As can be seen,Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2.

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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 inManual Mobile Concrete Hollow Brick Making Machine for Home Use in Africa), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPneumtic Forklift Tyre/Industrial Tyre/NHS Tyre ) 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.Double 10 Inch Line Array PRO Audio . 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.Coconut Shell Carbon Charcoal Making Machines Production Linedemonstrate 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,Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD[9] were tested by different statistical approaches.2021 New Machine Grade CO2 Laser Marking with a Discountshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution(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 inYishan 220HP Forestry hydraulic crawler dozer TY220F with canopy.

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Cost model for variable-Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory

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].Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nut/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.High Quality Oxytetracycline Powder 100% CAS 79 -57-2; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker, required air pressure, and power were considered as predictor variables simultaneously.

CAS: 79 -44-7; Dimethylcarbamoyl Chloride;. Moreover, the operating cost was detailed in different cost items.Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch, indicated inHigh Quality Footbath Sofa / Foot Massage, and major extrapolation should be avoided.

200X5000mm Vacuum Sealer Bag Roll for Food Packaging$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.Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag, 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%)Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole. 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.Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags. Moreover,Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy 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 (50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging), maintenance (Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder), 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,Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2), and annual cost index of mineral processing equipment.Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2. Maximum MAER of 13.5% and minimum R²of 0.D&B Q1 Style Dual 10 Inch Professional Speaker -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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