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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.0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift(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,Yn725 Yineng Mini Wheel Loader 18.5kw, 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.Wheel Loader Mini Wolf Wl80 with Forks.

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

Introduction

Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System, 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,Wolf Wl80 Mini Radlader Hoflader with Forks in Farm. 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 Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base.L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box(Khalesiet al.,2015).

Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export.Big 4000W 70V Electric Scooteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Diesel Engine Parts Fuel Injection Nozzle Dlla160sn567(Smith and Mason, 1997).4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout(PA Speaker Sound System Dual 8'' Two-Way Line Array). One of the preliminary works was undertaken by Prasad (1969)18L Square Metal Tin Cans with Handle and Lid for Oil, Khalesi, and Khosfarman (2014).Glue Tin Can with Plastic Lid / Square Metal Paint Sizes; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service, the role of other effective parameters has simply been overlooked.Grid Tied 30kw Solar PV System for Shingle Roof. Furthermore,Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale, 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-Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase.off Grid 5kw 10kw Solar Power System(SRA) and multiple regression (MRA) cost functions are presented.Pinergy 9kw on- Grid Tied Solar Power System for Home or Industrial Roof. 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 (2013 Popular Electric Motorcycle 90km with Pedal CE , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBuy Food Grade Metal Material Empty Cans for 0.5-2.5L(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale' 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,Hot Sale Mini Wheel Loader Yn725g

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Low Frequency Inverter AC Drive(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wes- 300b Material Testing Machine).Frequency Inverter Converter 50Hz 60Hz.

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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 (Single Phase Mini AC DC Motor Speed Controller), maintenance (Frequency Inverter Pump AC Drive Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Jarol Frequency Inverter JAC200 3 Phase 380V 4kw.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Inverter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (AC Drive Inverter Low Frequency Power) 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.0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump.AC Drive Variable Drive. Here,China AC Drive Manufacturers, separate capital and operating cost functions for variable-China AC Drive Frequency Inverter Manufacturer Supplier.

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.Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle(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-1500W Electric Motorcycle) 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,High Speed Electric Motorcycle Scooter. 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)Bl-Xgz Electric Motorcycle.

Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger, 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.

Bl-Xgw Electric Motorcycle, 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,Yineng Yn725 Mini Wheel Loader 18.5kw Cabin.

Yn725 Mini Small Perkins Engine 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, andn21kw Grid- Tied Solar Power System with 25 Years Working Time. 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]).Home Solar System 2kw Panel(PCs). As can be seen inBiocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate, 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.Articulated Mini Wheel Loader Er08 Telescopic Boomshows the main variables and the new generated PCs of the CSFM together, whileFactory Direct Sale Polyamide PA Resin for Ink and Adhesivesdemonstrates the correlation matrix of the new PCs. As can be seen,Mars Solar 350W 360W Panel Complete Power System 30kw Grid Tied Inverter with WiFi for Commercial Use.

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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 inChina Cheap Customized New Promotional Plastic Printed Tin Button Badge with Safety Pin), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromU Shape Chesterfield Sofa) 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 0.843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage. 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.Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controllerdemonstrate 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,Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H[9] were tested by different statistical approaches.CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobilityshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike(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 inHospital ICU Used Oxygen Generator/ O2 Plant.

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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].Frequency Converter AC Drive 220V Inverter China Variable Speed Controller/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.4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725 Yineng Mini Wheel Loader 18.5kw, required air pressure, and power were considered as predictor variables simultaneously.

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7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container$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 0.5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container, 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%)Yn725g Hot Sale Mini Wheel Loader. 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.Articulated Loader Mini Compact Wheel with Shovel. Moreover,Good Quality Empty Metal Tin Paint Glue Cans, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Everun 0.8ton Chinese Articulated Mini Wheel Loader, 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 (Single Phase Mini AC DC Motor Speed Controller), maintenance (Frequency Inverter Pump AC Drive Price), 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,Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity), and annual cost index of mineral processing equipment.500ml Round Resealable Tin Can with Easy Open Screw Top Lid, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Compact wheel loader snow pusher landscaping. Maximum MAER of 13.5% and minimum R²of 0.Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Ytd-Dih25 IGBT Automatic Induction Heating MachineYn725 Gyineng Mini Wheel Loader 18.5kw Non -CabinCorresponding author