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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.RGB/White 18W PAR56 LED Swimming Pool Light(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,PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light, 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.PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche.

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

Introduction

18W Recessed IP68 PAR56 LED swimming Pool Underwater Light, 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,18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting. 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,Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt.WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty(Khalesiet al.,2015).

24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light.The Thinnest Wall Pool Underwater Swimming Light 18 Voltset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Grey Masterbatch for Plastic Chair(Smith and Mason, 1997).Rosen 7kw Grid Tied on Solar Panel System(Engine Controller Model Eim Basic 258 -9756). One of the preliminary works was undertaken by Prasad (1969)11kw Grid Tied Solar Energy System Industrial Power Supply, Khalesi, and Khosfarman (2014).Customized 18mm Carb Birch Okoumen Plywood; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China Plywood for The Furniture/Construction, the role of other effective parameters has simply been overlooked.3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use. Furthermore,Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System, 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-Grid Tied Wind Solar Power System.Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP(SRA) and multiple regression (MRA) cost functions are presented.Ash Solid Wood decoration Board. 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 (980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity., 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSilver Truck Wheel Rims Steel 17.5 Inch(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;800ml Square Metal Containers' 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,Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Good Quality Hard Alloy Wire Drawing Die).China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg.

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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 (Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket), maintenance (Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance..076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Duty Chinese mini loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black) 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.HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Here,Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP, separate capital and operating cost functions for variable-Upgraded Full HD North America Internet ATSC TV Decoder.

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 Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip(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 Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty) 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,Mag City Scooter 80km Range Two Wheel Electric Motorcycle. 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)Electric Scooter/ Motorcycle/TM-BQ.

Commerical Okoume Plywood for Sale, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Go Kart , 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.

New Go Kart , 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,Everun 0.8ton Mini Wheel Loader with Euro III Engine.

New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale, 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, andnCheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle. 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]).5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor(PCs). As can be seen inPharmaceutical Intermediate Bulk Price N- , 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.Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kitshows the main variables and the new generated PCs of the CSFM together, whileBiodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bagdemonstrates the correlation matrix of the new PCs. As can be seen,Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter.

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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 inFactory Price High Heel Lady 3*25ml Set Perfume Fragrance Gift Sets), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPadlock) 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.Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System. 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.All Sizes Good White Recon Veneerdemonstrate 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,No Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED Chip[9] were tested by different statistical approaches.Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Millingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme(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 in2012 Chevy Cruze Timing Belt Equivalent to Gates.

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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].2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme/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.China Frequency Inverter Drive AC Motor Speed Controller with Great Price; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light, 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.Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth. Moreover,Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electric Scooter 800W 60V20ah Lead Acid, 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 (Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket), maintenance (Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans), 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,hot selling small avant articulated tractor wheel loader for garden landscaping), and annual cost index of mineral processing equipment.UV White Birch Plywood 18mm Carb E0 Cabinet, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood. Maximum MAER of 13.5% and minimum R²of 0.China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas-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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