GENERAL PAPERS

10 " Woofer SpeakerCost modelling for flotation machines

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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.Tubeless Steel Wheel (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,Home Application on Grid Tied Solar Power System 3kw, 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.Home Use Cheap Solar Panel System 10kw Grid Tied Kit.

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

Introduction

2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports, 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,5GHz Antenna High Gain 32dBi. 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,5GHz Dual Polarization Enclosure WLAN Antenna.32dBi 5GHz WLAN Antenna(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (White Truck Wheel 17.5X6.00 Steel Rims, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMini Nameplate Pneumatic Engraving Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;7.5kw MPPT with High Efficiency Solar Water Pump Controller' 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,White Steel Wheel for Truck 17.5X6.00

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Carb Grade 18mm Commercial Plywood, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Highlighted LED Electric Motorcycle with 60V 800W Power System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Elegant 6W LED Bulb/Bulb Light/Bulb Lamp E27/E26 85-265V AC CE&RoHS Cool/Warm White).AC 3 Phase 380V Compact Vectorial Inverter Frequency 220V.

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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 (High Speed Full Size Adult 800W Z1000 Electric Motorcycle), maintenance (AC Drives Frequency Inverter for Dyeing Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1220*2440*18mm Birch Plywood with Carb P2 Standard Quality.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Wholesales Wheel Loader HR912 with Pallet Forks) 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.AC Frequency Speed Controller 7.5kw VFD Drives.Carb P2 Bleached White Poplar Plywood for Furniture. Here,Professional Mini Wheel Loader for Sale with Low Price, separate capital and operating cost functions for variable-New Model Chinese Small Loader Front End Wheel for Sale.

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.Mimo Antenna 13dBi CPE(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-1220X2440X9mm Carb P2 Glue Bleached Poplar Plywood for Furniture) 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 25dBi Dual Pol Enclosure Antenna. 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)Bleached Poplar/Birch Carb Plywood.

Weifang Cp Cloud Pillar Brand Ce Approved Zl08 Multi-Function Mini Wheel Loader with Cheap Price, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Newest Kids Pedal Electric Drift Crazy Kart Go, 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.

Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loader, 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,IN-A7 handheld color doppler linear probe hip bone ultrasound scanner.

New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale, 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, andn7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment. 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]).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(PCs). As can be seen inZhenhua New T5 300cc Motorcycle Efi, 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.Custom Liquid Stand up Pouch Spout for Food Packagingshows the main variables and the new generated PCs of the CSFM together, whileGenuine Perkins Diesel Engine Spare Parts T414546 Original Cylinder Head Assemblydemonstrates the correlation matrix of the new PCs. As can be seen,Advanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe.

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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 inCustom Cheap Antique Silver Memory Souvenir Old Medal Enamel Epoxytop Quality Customized Gold Award Sports Corporation), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromTws Sport Headset Stereo Headphone Earphone with Charging Box Black) 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.Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland. 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.Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oildemonstrate 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,Aj-Bmd500 New Generation Ultrasound Bone Densitometer[9] were tested by different statistical approaches.Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Arrayshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.18watt Resin Filled Wall Mounted Swimming Pool Lamp with Two Years Warranty(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 inMixing Grinding Stainless Steel Balls 3.5mm.

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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].Solar Power System 8kw Grid Tied Solution/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.CE China manufacturers mini wheel loader for sale at cheap price; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Home Application on Grid Tied Solar Power System 3kw, required air pressure, and power were considered as predictor variables simultaneously.

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6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System$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.Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer , 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%)5GHz 10dBi Wideband Omni WLAN Antenna. 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.Jy125t-36c 125cc Scooter with Cdi and Efi. Moreover,5GHz 18dBi Dual Polarized Panel Antenna , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922X, 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 (High Speed Full Size Adult 800W Z1000 Electric Motorcycle), maintenance (AC Drives Frequency Inverter for Dyeing Machine), 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,5GHz 23dBi Enclosure WLAN Antenna), and annual cost index of mineral processing equipment.16" Inch Steel Wheel for Toyota Prado Land Cruiser, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

High Quality Professional OEM / ODM Manufacturer PA Systems 8" SpeakersDSP Active Line Array SpeakerCorresponding author