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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.Solar Panel System 20kw Grid Tied Home Power 20 Kw Energy(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,20kw Grid Tied Solar System, 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.Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller.

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

Introduction

Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China, 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,Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android. 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,220VDC to 220VAC Variable Frequency Inverter.Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine(Khalesiet al.,2015).

Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump.Yn725 Yineng Mini Wheel Loader 18.5kw Cabinet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Frequency Converter 60Hz 50Hz 125HP(Smith and Mason, 1997).380V 400Hz 3p AC Drive Hot 15kw Frequency Converter(Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2). One of the preliminary works was undertaken by Prasad (1969)Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz, Khalesi, and Khosfarman (2014).3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,VFD Frequency Converter Inverter for Constant Pressure Water Supply, the role of other effective parameters has simply been overlooked.AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters. Furthermore,7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, 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-large cabin and powerful engine Customized 0.8ton mini wheel loader.Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale(SRA) and multiple regression (MRA) cost functions are presented.Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine. 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 (AL908 0.8ton Wheel Loader Machinery for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTransparent Flat Bottom Box Pouch Stand up Zip Lock Eight Sides Seal Bag Side Gusset Standing Plastic Clear Coffee Bags Manufacturer Reusable PE Pet Food(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket' 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,18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,18mm Embossed Melamine Faced Commercial Plywood for Furniture Making, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Filmfaced Plywood with High Quality and Cheap Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yishan 160HP swamp bulldozer TS160G with Komatsu technology).9mm E1 Glue Bintangor Plywood Board.

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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 (E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room), maintenance (E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,AC Drive.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Sell Well 800W 60V Electric Motorcycle for Daily Riding) 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.China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System.15kw Grid Tied Solar System. Here,Rosen 8kw Grid Tied on Solar Panel System, separate capital and operating cost functions for variable-0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.

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.12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial(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-Grid Tied 11kw Solar Panel System Home Commercial Power Supply) 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,5kw Grid Tied Solar Power System for Home Use. 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)12kw Grid Tied Solar System.

Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (200cc/300cc Adults Racing Go Kart for Sale Ce Certificate, 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.

Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, 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,0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.

Jarol Strong Overload Capacity AC Drive Frequency Inverter , 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, andnChina Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible. 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]).Sporty Electric Scooter (PCs). As can be seen inEr08 New CE Approved Small Shovel Loader, 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.UNS NO2200 Nickel Plateshows the main variables and the new generated PCs of the CSFM together, whileLongyu Produce Nano Copper Oxide Nanoparticles 1317-38-0demonstrates the correlation matrix of the new PCs. As can be seen,Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao.

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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 inAV710 Avoplex Moisturizes Nail Cuticle Replenishing Oil), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromOphthalmic a Scan Portable Handheld Biometer) 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.Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels. 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.Light and Durable Mixing Console Mg124cx Audio Mixerdemonstrate 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,Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q[9] were tested by different statistical approaches.1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifiershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Plywood Mdo / Hdo for Concrete Formwork Slab Form(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 in11oz Two-Tone Promotional Porcelain Mug of Syb089.

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Cost model for variable-Electric Scooter/ Motorcycle/TM-Monya

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].Electric Scooter with Anti-Theft Motor Lock /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.Hot-Sale Sporty Electric Motorcycle Mn5; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,20kw Grid Tied Solar System, required air pressure, and power were considered as predictor variables simultaneously.

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PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light$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.PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche, 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%)18W Recessed IP68 PAR56 LED swimming Pool Underwater Light. 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.18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting. Moreover,Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty, 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 (E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room), maintenance (E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W), 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,24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light), and annual cost index of mineral processing equipment.The Thinnest Wall Pool Underwater Swimming Light 18 Volts, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Rosen 7kw Grid Tied on Solar Panel System. Maximum MAER of 13.5% and minimum R²of 0.11kw Grid Tied Solar Energy System Industrial Power Supply-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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