GENERAL PAPERS

1L Empty Round Brake Fluid Can BoxesCost modelling for flotation machines

S. Arfania; A.R.Gt1749V Customized Metal Tea Canister Food Packaging Box Round Can Tin; 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.2004-10 for Volkswagen(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,Borg Warner BV45 Turbo 5303-988-0337 Core Chra for Nissan, 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.T250-04 452055-5004s Turbocharger for Gemini III Engine.

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

Introduction

Gtb1749vk Turbo Cartridge 798128-0004 for 2011- Peugeot Boxer, 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,Gt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistar. 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,Gt1749vk 798015-0002 A6710900380 Turbo for Ssang-Yong Korando C200 2.0 D20dtf Engine.Gt1544V 740611-5002s 28201-2A400 Turbo for Hyundai Verna(Khalesiet al.,2015).

Aftermarket BV45 53039880337 Turbocharger for 2010-12 Nissan Pathfinder Navara Engine.Factory Supply Glycyl-L-Tyrosineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Automatic High Effective Medical Ultrasound Bone Densitometer (Smith and Mason, 1997).Dl-Isoleucine Powder CAS 443- 79 -8(Yn725 Mini Small Perkins Engine Wheel Loader). One of the preliminary works was undertaken by Prasad (1969)Glycyl- L-Tyrosine; 658- 79 -7, Khalesi, and Khosfarman (2014).L-Pyroglutamic Acid; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dl-Isoleucine Powder CAS Number 443- 79 -8, the role of other effective parameters has simply been overlooked.98% Uvarigranol B\C\D\E Standard Reference Materials Plant Extracts. Furthermore,Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0, 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 Purity 99.0%Min. Ademetionine Disulfate Tosylate .Centella Asiatica Extract 99% Asiaticoside 16830-15-2(SRA) and multiple regression (MRA) cost functions are presented.Crovell Supply Raw Material CAS 104-29-0 Chlorphenesin for Cosmetic. 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 (Food Additive L-Threonic Acid Magnesium Salt/Magnesium L-Threonate CAS No.: 778571-57-6, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10W 4" Inchs LED Dimmable Downlight for Room(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Polyethylene Green Color Masterbatch' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Yellow HDPE Masterbatch(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (D2 / 1.2379 Mold Alloy Forged Tool Steel Round Bar).Universal LPG Gas Completed ECU Conversion Kit.

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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 (Act Best Seller CNG LPG Gas Car Emulator), maintenance (CNG/LPG Rail Injector Type Gas 4 Cylinders) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Act MP 48 ECU Switch/Act 2568d Switch.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Fuel Gas Cylinder ECU 2568d Map Sensors) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit) 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.Auto Vehicle Gas Conversion Kit CNG Seqential Injection Kits.Electric Pipe End Bevelling Machine. Here,T-Electric Pipe Bevelling Machine , separate capital and operating cost functions for variable-Pneumatic Pipe Beveling Machine High Performence.

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.Act CNG LPG Fuel System 2568cyl ECU Kits(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-Factory Directly Sell Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Oil Cup) 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,Plastic Green Color Masterbatch. 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)4 Cyl CNG Auto Gas LPG Conversion Kit / Sequential Injection System.

3cyl 4 Cyl 6cyl 8cyl LPG/CNG Injector Rail, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (L Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection System, 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.

High Quality Diesel Engine Parts 4 Cyl Pump Rotor Head 096400-0371, 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,Diesel Engine Parts Injection System Nozzle Dnopd619.

Supply API 99%Min Dalbavancin CAS 171500- 79 -1 Raw Material Powder, 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, andnDiesel Engine Parts Fuel System Nozzle Dlla145pn574. 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]).Master Batch Organic Colors(PCs). As can be seen inFactory Supply Disodium Phosphate Food Grade, 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.Disodium Hydrogen Phosphate Dihydrate Food Gradeshows the main variables and the new generated PCs of the CSFM together, whileLashes 3D Wholesale Vendor Full Strip False Eyelashes 20mmdemonstrates the correlation matrix of the new PCs. As can be seen,Free Sample Color Masterbatch ABS PE Non Toxic for Injection Molding.

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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 inWholesale 14oz 12oz 10oz China Ceramic Tea Cup Drinking), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1) 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.Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Quality. 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.New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Setdemonstrate 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 Raw Material 99% Retinoic Acid 302- 79 -4[9] were tested by different statistical approaches.Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficientshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.ISO and SGS Factory Provide L-Arginine Nitrate 749- 79 -33(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 inPrecision Metal Parts Diamond Wire-Drawing Dies.

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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].Factory Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7/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.Health Raw Material L-Carnitine Fumarate CAS No.: 90471- 79 -7 with High Quality; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Borg Warner BV45 Turbo 5303-988-0337 Core Chra for Nissan, required air pressure, and power were considered as predictor variables simultaneously.

Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7. Moreover, the operating cost was detailed in different cost items.Best Price Bulk Powder Retinyl Palmitate 79 -81-2, indicated inFactory Price Ammonium Sulfate for Crystal Compound Fertilizer, and major extrapolation should be avoided.

Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery$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.Health Raw Material L-Carnitine Fumarate CAS.: 90471- 79 -7, 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%)Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043. 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.Diesel Engine Parts Fuel Injection Nozzle Dlla156sm139. Moreover,Diesel Engine Parts Fuel Injection Nozzle 152sn924, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266, 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 (Act Best Seller CNG LPG Gas Car Emulator), maintenance (CNG/LPG Rail Injector Type Gas 4 Cylinders), 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,Diesel Engine Parts Fuel Injection Nozzle Dlla156s820), and annual cost index of mineral processing equipment.Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Diesel Engine Parts Fuel Injection Nozzle 150sn902. Maximum MAER of 13.5% and minimum R²of 0.Tws Sport Headset Stereo Headphone Earphone with Charging Box Black-feasibility and even feasibility study level of projects.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Transparent Nylon Grilamid PA -7290 Material a Kind of Amorphous PA12.Ce Certification Plastic Water Bottle Use Yellow Masterbatch.Yanmar Fuel Shutdown Solenoid 1503es-12s5suc12s, Montreal. 319 pp.         [High Adhesion Polyurethane PU Resin for Printing Ink]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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