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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.Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service(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,Grid Tied 30kw Solar PV System for Shingle Roof, 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.Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale.

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

Introduction

Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase, 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,off Grid 5kw 10kw 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,Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof.2013 Popular Electric Motorcycle 90km with Pedal CE (Khalesiet al.,2015).

Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale.Wolf Loader Wl80 Radlader Without Cabinet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Digital Display Superior 316L integrated Pressure Transducer(Smith and Mason, 1997).Yn725g Approved Hot Sale Mini Wheel Loader Yn725(Articulated Mini Wheel Loader Er08 Telescopic Boom). One of the preliminary works was undertaken by Prasad (1969)Er08 New CE Approved Small Shovel Loader, Khalesi, and Khosfarman (2014).Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Sale Mini Wheel Loader Yn725g, the role of other effective parameters has simply been overlooked.0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm. Furthermore,Low Frequency Inverter AC Drive, 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-Frequency Inverter Converter 50Hz 60Hz.Single Phase Mini AC DC Motor Speed Controller(SRA) and multiple regression (MRA) cost functions are presented.Frequency Inverter Pump AC Drive Price. 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 (Jarol Frequency Inverter JAC200 3 Phase 380V 4kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Direct Sale Polyamide PA Resin for Ink and Adhesives(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Inverter' 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,China AC Drive Frequency Inverter Manufacturer Supplier

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1500W Electric Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Promotion Lightweight Foldable Recycled Sport Backpack).High Speed Electric Motorcycle Scooter.

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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 (Bl-Xgz Electric Motorcycle), maintenance (Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Bl-Xgw Electric Motorcycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yineng Yn725 Mini Wheel Loader 18.5kw Cabin) 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.Yn725 Mini Small Perkins Engine Wheel Loader.21kw Grid- Tied Solar Power System with 25 Years Working Time. Here,Home Solar System 2kw Panel, separate capital and operating cost functions for variable-Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner.

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.5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid(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 Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use) 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).

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whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)High Quality 5000W Grid Tied Solar Power Generation System Competitive Price.

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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.

Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike, 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,Yangtze 10kw Grid- Tied Solar System.

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whereC_eis the estimated cost,C_athe actual cost, andn4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil. 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]).Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid(PCs). As can be seen inMini Handle Electric DOT Peen Marking Machine, 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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7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container,5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container(CSFM) is presented here as an example.Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiverillustrates 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.Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controllershows the main variables and the new generated PCs of the CSFM together, whileCE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobilitydemonstrates the correlation matrix of the new PCs. As can be seen,Yn725g Hot Sale Mini Wheel Loader.

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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 in350 Kg Super Heavy Duty Metal Door Hinge Glass Floor Spring), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSolar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery) 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.Good Quality Empty Metal Tin Paint Glue Cans. 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.Power Saver for Industrial 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,Everun 0.8ton Chinese Articulated Mini Wheel Loader[9] were tested by different statistical approaches.Customized Supported Android 9.0 X96 Air Media Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity(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 in13oz V Ceramic Stoneware Promotion Decal Coffee Mug.

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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].Compact wheel loader snow pusher landscaping/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.Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Grid Tied 30kw Solar PV System for Shingle Roof, required air pressure, and power were considered as predictor variables simultaneously.

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China E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle$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 0.60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK, 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%)Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter. 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.China Single Phase Variable Frequency Inverter AC 220V. Moreover,Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV, 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 (Bl-Xgz Electric Motorcycle), maintenance (Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android), 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,AC Drive Frequency Variable General Power Supply Solar Motor Pump), and annual cost index of mineral processing equipment.Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,500kw Solar Energy System Grid Tied 500kwatt Panel Station. Maximum MAER of 13.5% and minimum R²of 0.Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader.Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V.Haolin Lithium Battery 60V/20ah, Montreal. 265 pp.         [L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tire]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle.Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush.Haolin Lithium Battery 60V/20ah, Montreal. 319 pp.         [Gym Rubber Flooring Floor Mat Roll]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Heavy Duty Tricycle 250cc]

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USBM. 1987.9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint,Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Factory Sell Emoji Pub Carnival Cheap Award Custom Cartoon Hero Superhelden Christmas Medal with Customized Logo]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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