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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.Customized 18mm Carb Birch Okoumen Plywood(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,China Plywood for The Furniture/Construction, 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 0.3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use.

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

Introduction

Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System, 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,Grid Tied Wind Solar Power System. 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,Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP.Ash Solid Wood decoration Board(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.' 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,Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yishan 160HP track type bulldozer T160G with straight-tilt blade).High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty.

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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 (Mag City Scooter 80km Range Two Wheel Electric Motorcycle), maintenance (Electric Scooter/ Motorcycle/TM-BQ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Commerical Okoume Plywood for Sale.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Go Kart ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Go Kart ) 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.Everun 0.8ton Mini Wheel Loader with Euro III Engine.New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale. Here,Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle, separate capital and operating cost functions for variable-5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor.

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 18W 12V IP68 Waterproof LED Swimming Pool Lamps 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-50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive) 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,3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor. 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)Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter.

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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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme.

TUV Certificate Gried Tied on Grid 30kw Solar Power System, 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, andn2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme. 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]).China Frequency Inverter Drive AC Motor Speed Controller with Great Price(PCs). As can be seen in1L Tin Can with Metal Cap for Food Storage, 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.Hybrid 3kw Solar Grid Tied Roof Top System Home Powershows the main variables and the new generated PCs of the CSFM together, whileDiscount High Strength 90/90-19 Motorcycle Tyre/Tiredemonstrates the correlation matrix of the new PCs. As can be seen,Sapelli Plywood.

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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 inShanghai Best Quality Self Adhesive Vinyl Sticker), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromJwell  PP Corrugated Roof Sheet Extrusion Machine) 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.Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth. 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.Digital Tuner 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,Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart[9] were tested by different statistical approaches.Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18wattshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Electric Scooter 800W 60V20ah Lead Acid(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 inTimber Peeling Veneer Lathe.

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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].UV White Birch Plywood 18mm Carb E0 Cabinet/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.18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Plywood for The Furniture/Construction, required air pressure, and power were considered as predictor variables simultaneously.

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350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive$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.French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can, 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%)250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap. 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.SGS Food Grade Certification 500ml Tin Containers Olive Oil Can. Moreover,Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids, 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 (Mag City Scooter 80km Range Two Wheel Electric Motorcycle), maintenance (Electric Scooter/ Motorcycle/TM-BQ), 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,2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel), and annual cost index of mineral processing equipment.China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Chinese Eougem Zl08 Wheel Loader with Torque Converter. Maximum MAER of 13.5% and minimum R²of 0.Articulated Mini Wheel Loader Er08 Telescopic Boom-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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