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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.10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim(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,Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim, 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.Alloy Wheels .

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

Introduction

Silver Truck Wheel Rims Steel 17.5 Inch, 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,15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer. 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,High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC.Finished Surface HD Truck Wheel 17.5inch Rims Steel(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 New Model 125cc 150cc Ce Approval off Road ATV(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Carb Bleach White Poplar Plywood LVL 12mm 18mm' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Wolf Wl80 Articulated Mini Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Brand Girls Lovely Dress).Digital ATSC Receiver Internet TV Set Top Box.

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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 (Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W), maintenance (High Quality Aluminum Alloy Wheels Rims) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Truck Rim Steel Polished 17.5 Inch Wheel.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Sunpal 150kw Solar Grid Tied System Low Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5GHz 19dBi Enclosure WLAN Antenna) 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.16 17 18 Inch Vossen CV5 Alloy Wheel.VFD Air Compressor Asynchronous Variable Frequency Drive. Here,Tubeless Steel Wheel , separate capital and operating cost functions for variable-Home Application on Grid Tied Solar Power System 3kw.

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.Home Use Cheap Solar Panel System 10kw Grid Tied Kit(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-2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports) 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,5GHz Antenna High Gain 32dBi. 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)5GHz Dual Polarization Enclosure WLAN Antenna.

32dBi 5GHz WLAN Antenna, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle, 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 Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty, 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,Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights.

2.5A 0.4kw IP20 Jarol Variable Frequency Drive, 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, andnNo Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip. 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]).High Quality Underwater Swimming Pool Light Decoration LED Lamp(PCs). As can be seen inChina Everun Er408t 0.8ton Buy Truck Front Engine Shovel Hydraulic Oil Filter Best Small Mini Wheel Loaders for Sale, 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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2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty,New Electric Beatiful on Road 800W Scooter E-Motorcycle(CSFM) is presented here as an example.Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canadaillustrates 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.Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywoodshows the main variables and the new generated PCs of the CSFM together, whileHot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,5GHz 15dBi Dual Polarization Enclosure WiFi Antenna.

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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 inCustomized Plastic PVC Tortoise Monster Figure Toy), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromGood Solutions 3kw Solar Home Energy off Grid System) 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.White Truck Wheel 17.5X6.00 Steel Rims. 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.Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlightdemonstrate 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,7.5kw MPPT with High Efficiency Solar Water Pump Controller[9] were tested by different statistical approaches.7.5kw MPPT with High Efficiency Solar Water Pump Controllershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood(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 in625kVA/500kw Power Generator Diesel Engine Silent Genset Set with Coc.

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Cost model for variable-AC Variable Frequency Drive Single Phase

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].17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim/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.Triple Phase Variable Frequency Inverter AC Drive; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim, 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.AC Drives Frequency Inverter for Dyeing Machine. Moreover,1220*2440*18mm Birch Plywood with Carb P2 Standard Quality, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China, 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 (Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W), maintenance (High Quality Aluminum Alloy Wheels Rims), 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,China Wholesales Wheel Loader HR912 with Pallet Forks), and annual cost index of mineral processing equipment.AC Frequency Speed Controller 7.5kw VFD Drives, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Carb P2 Bleached White Poplar Plywood for Furniture. Maximum MAER of 13.5% and minimum R²of 0.Professional Mini Wheel Loader for Sale with Low Price-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale.7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, Montreal. 265 pp.         [Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Whole Sale Hammerhead 150cc Go Kart with Parts.Earthmoving Equipments Mini Wheelloader Wl80 Loader Radlader.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, Montreal. 319 pp.         [High Temperature Vacuum Retort Pouch for Food Packaging]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.10MHz Linear Vascular/Anesthesia Portable Wireless Ultrasound Scanner.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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