GENERAL PAPERS

Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw TiedCost modelling for flotation machines

S. Arfania; A.R.Pigment Violet 23 LiquidUt-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye; 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.Asapp-II Ammonium Polyphosphate for Intumescent Paints (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,Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4, 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.Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9.

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

Introduction

Sodium Phosphate Dibasic CAS No 7558- 79 -4, 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,Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4. 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,Boring Machine Tools Micro Head F1type CNC Heads Set.Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling(Khalesiet al.,2015).

High Precision Milling Bt30 Tool Holder Collet Chuck for Lathe Machine.94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2 Way Active Full Range Speaker Mini Portable Powered Loudspeaker(Smith and Mason, 1997).Supply Ammonium Polyphosphate APP (AC Fan Frequency Inverter VFD Vector Control 3pH 30kw). One of the preliminary works was undertaken by Prasad (1969)Sdc Shrink Collet Chuck Toolholders for CNC Machine Part, Khalesi, and Khosfarman (2014).Nickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bar; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,UNS NO2200 Nickel Plate, the role of other effective parameters has simply been overlooked.Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling. Furthermore,Diesel Engine Parts Fuel Injection Nozzle Dlla148p591, 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-Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling.Diesel Fuel Injection Nozzle Dlla160pn141(SRA) and multiple regression (MRA) cost functions are presented.Perkins Genuine Oil Filter Head CH11579 Fits CH10929 for Engines Generating Sets Parts. 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 (Diesel Engine Parts Fuel System SD265 Nozzle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGrid Tied Wind Solar Power System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canada' 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,Inconel X-750 Forged/Forging Round Bars

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Price Hot Selling Massage Swimming Pool SPA, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Laswim Swim SPA Endless Swimming Pool Whirlpool Bathtub(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Original Design Office Meeting Visitor Chair).Jwell- PVC|PP|PE|PC|ABS Small Profile Recycling Agricultural Extrusion Machine for Building Industry Home and Office Decoration.

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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 (HDPE Plastic Geomembrane Sheet Making Extrusion Machine), maintenance (Jwell- PP PS Plastic Environmental Protection Sheet Recycling Making Extrusion Cup Machine Production for Green Food Container and Packaging Good Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Uns No6600 Inconel600 Steel Plate.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276.) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Alloy Inconel 625 Nickel Strip ) 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.Diesel Engine Parts Fuel Injection Nozzle 148pn306.Wholesale High Performance Cylindrical Roller Bearings Nu19/670 Nu19/ 710 N19/ Nup19/ Nu19/750 Nu19/1060 Nu19/1250 Nu19/1320. Here,Original Hot Selling NTN Timken Koyo SKF Taper Roller Bearing 512/630m 512/630/So 5692/670 572/ 710 5692/800 5692/950 /Auto, separate capital and operating cost functions for variable-Perkins Engine Spare Parts Fan Belt Gasket - Cylinder Head Seal Cyl Cover 403D-11g 403A-11g1 403D-15g 403A-15g2 404D-22g 080109134 111147491 U11996410.

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.Zys Rolling Mill Bearing Four Row Taper Roller Bearings 3810/ 710(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-Virgin PA12 Resin GF20 GF30 Pellets) 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,PA410 Resin Q-Hgm24 10 -20% Glass Mineral Filled Heat Stabilized. 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)Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8.

Trimethyl Cis, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Fast Delivery High Purity Benzaldehyde 100-52-7, 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.

Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223, 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,Swimming SPA Pool Hot Tub Combo.

Zhejiang Province Acrylic Standing Alone Bathtubs, 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, andnRofessional 21 Speed Mountain Bicycle 26 Inch New MTB. 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]).Perkins Genuine Cyl Head Assy (PCs). As can be seen inR-3-Amino-1-N-Boc-Piperidine, 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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Chinese Heavy Truck Diesel Engine Pump Cylinder 161500137712,Genuine Perkins Diesel Engine Spare Parts T414546 Original Cylinder Head Assembly(CSFM) is presented here as an example.New Design Column Speaker 20PCS Driver Unit Professional Coaxial PA System with L16-Ciillustrates 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.Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofershows the main variables and the new generated PCs of the CSFM together, whileCentral Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rimdemonstrates the correlation matrix of the new PCs. As can be seen,Jwell  PP Corrugated Roof Sheet Extrusion Machine.

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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 inCorrugated Prime Zinc Coated Color Roofing Sheet for Greenhouse), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromRound Tin Can for Food Packaging Empty Tinplate) 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.Perkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Engines. 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.Yellow HDPE Masterbatchdemonstrate 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,Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect[9] were tested by different statistical approaches.Lidocaine Hydrochloride CAS 73-78-9 HClshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Alcohol Benzene Polyamide Ink Resin(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 inChina Super Cheap Cross Country Motorcycle Tire/Tyre.

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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].Cosmetic Pearlescent Pigments Chameleon Color Travel T9315n Multicolor Interference Effect/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.Jwell PLA Pet Plastic Biodegradable Sheet Recycling Cup Making Extrusion Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4, required air pressure, and power were considered as predictor variables simultaneously.

Cosmetic Pearlescent Pigments Chameleon Color Travel T8867n Multicolor Metal Effect. Moreover, the operating cost was detailed in different cost items.Single Direction Thrust Ball Bearing 510/630 591/630 511/630 691/670 511/670 510/ 710 591/ 511/ 510/750 591/750 511/750 M F, indicated inHigh Quality Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price Acid Glycolic, and major extrapolation should be avoided.

Cosmetic Pearlescent Pigments Chameleon Color Travel T8207n Multicolor Metal Effect Gold Green Blue$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.Powerful Cheap Mountain Bike Bicycle, 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%)Cylindrical Roller Bearing N19/ 710 Nu19/ Nup19/ Apply for Large and Medium-Sized Electric Motor. 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.Polyamide Resin Hot Melt Adhesive. Moreover,Polyamide Resin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Co-Soluble Polyamide Resin with Top Quality, 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 (HDPE Plastic Geomembrane Sheet Making Extrusion Machine), maintenance (Jwell- PP PS Plastic Environmental Protection Sheet Recycling Making Extrusion Cup Machine Production for Green Food Container and Packaging Good Price), 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,Alcohol Polyamide Resin for Printing Ink), and annual cost index of mineral processing equipment.Popular Alcohol Soluble Polyamide Resin for Gravure Ink, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Polyamide Resin with Benzene Soluble for Printing Inks. Maximum MAER of 13.5% and minimum R²of 0.Alcohol Soluble Polyamide Resin for Printing Ink-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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