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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.French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can(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,250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap, 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.SGS Food Grade Certification 500ml Tin Containers Olive Oil Can.

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

Introduction

Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans, 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,1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids. 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,2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel.China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin(Khalesiet al.,2015).

Chinese Eougem Zl08 Wheel Loader with Torque Converter.Articulated Mini Wheel Loader Er08 Telescopic Boomet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle(Smith and Mason, 1997).Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver(0.3mm Rotary Cut Red Wood Veneer). One of the preliminary works was undertaken by Prasad (1969)Xangshi Factory Newest Casing U8 S905W Internet TV Set Top Android Box 2GB RAM 16GB ROM for Watching, Khalesi, and Khosfarman (2014).New Design Go Kart 150cc ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router, the role of other effective parameters has simply been overlooked.48V/60V 800W Electric Scooter with Lead-Acid Battery. Furthermore,800W 60V Lead-Acid Battery Electric Bicycle with Back Rest, 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-Electric Motorcycle 800W for Adult Motor.Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB(SRA) and multiple regression (MRA) cost functions are presented.800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery. 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 (Rosen 5kw on Grid Solar System with Tied Inverter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Solar Energy System 5kw Panel Home Grid Tied Power' 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,Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot selling compact 800kgs wheel loader for garden(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Fashion Women Pearl Designed Custom Brooch).High Efficiency 6kw Grid Tied Solar Power System for Home.

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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 (China Safe Automatic CVT 150cc Go Kart Motor with Reverse), maintenance (3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Carb P2 Plywood/EPA Plywood /Okoume) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China) 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.Variable Speed Drive Phree Phase Frequency Converter 1000Hz.Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory. Here,3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive, separate capital and operating cost functions for variable-Carb P2 Okoume Plywood for Furniture.

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.15mm AAA Grade Film Faced Plywood with WBP Glue(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-China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality) 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,Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging. 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)150CC Go Kart .

Full Size 150cc Go Kart , 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.

Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid, 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,Wolf Wl80 Mini Dumper Euro 5 Loader for Sale.

0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader, 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, andnHigh Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector. 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]).WLAN WiFi Yagi Antenna(PCs). As can be seen inRotary-Cut Okoume Wood Veneer 0.25mm A Grade for India, 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.Potassium 2shows the main variables and the new generated PCs of the CSFM together, while0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pumpdemonstrates the correlation matrix of the new PCs. As can be seen,Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile.

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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 inRubber Chemical Insoluble Sulphur Ot33 with 33% Refined Oil Based), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPE/ PA /CPP Food Vacuum Packing Bag Plastic Grade) 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 0.800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle . 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.Modern Home Furniture Living Room Leather Fabric Electric Massage Lounge Leisure Recliner Sofademonstrate 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,2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty[9] were tested by different statistical approaches.Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frameshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip(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 inWholesale 10ml 15ml Gel Polish Painting.

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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].Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box/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.15kw Grid Tied Solar Power System for Home Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap, required air pressure, and power were considered as predictor variables simultaneously.

Grid Tied 100kw 200kw 300kw Solar System. Moreover, the operating cost was detailed in different cost items.Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels, indicated inChina Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole, and major extrapolation should be avoided.

Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale$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.Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W, 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%)Adv. 1 Alloy Wheel . 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.150cc 4-Stroke. Moreover,Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market, 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 (China Safe Automatic CVT 150cc Go Kart Motor with Reverse), maintenance (3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive), 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,Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W), and annual cost index of mineral processing equipment.New Design 800W 1000W Electric Scooter Motorcycle for Riding, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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