GENERAL PAPERS

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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.Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling(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,Cheap Smart Lady's Electric Scooter 60V800W, 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.Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts.

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

Introduction

Lady Scooter Motorcycle 2.5 16 Tire Custom Bike, 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,0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift. 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,Yn725 Yineng Mini Wheel Loader 18.5kw.Wheel Loader Mini Wolf Wl80 with Forks(Khalesiet al.,2015).

Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System.Wolf Wl80 Mini Radlader Hoflader with Forks in Farmet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Laminated Food Grade Roll Film(Smith and Mason, 1997).High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base(Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging). One of the preliminary works was undertaken by Prasad (1969)L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box, Khalesi, and Khosfarman (2014).Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Big 4000W 70V Electric Scooter, the role of other effective parameters has simply been overlooked.4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout. Furthermore,18L Square Metal Tin Cans with Handle and Lid for Oil, 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-Glue Tin Can with Plastic Lid / Square Metal Paint Sizes.Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service(SRA) and multiple regression (MRA) cost functions are presented.Grid Tied 30kw Solar PV System for Shingle 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 (Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFPM FKM Viton EPDM SBR Cr Silicone NBR Rubber Parts(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase' 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,Wolf Loader Wl80 Radlader Without Cabin

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Yn725g Approved Hot Sale Mini Wheel Loader Yn725, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Er08 New CE Approved Small Shovel Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (in Stock High-Quality Flat 58 Inch 4K Smart TV).Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader.

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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 (Hot Sale Mini Wheel Loader Yn725g), maintenance (0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Low Frequency Inverter AC Drive.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Frequency Inverter Converter 50Hz 60Hz) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Single Phase Mini AC DC Motor Speed Controller) 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.Frequency Inverter Pump AC Drive Price.Jarol Frequency Inverter JAC200 3 Phase 380V 4kw. Here,Inverter, separate capital and operating cost functions for variable-AC Drive Inverter Low Frequency Power.

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.0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump(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-AC Drive Variable Drive) 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,China AC Drive Manufacturers. 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)China AC Drive Frequency Inverter Manufacturer Supplier.

Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1500W Electric Motorcycle, 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 Speed Electric Motorcycle Scooter, 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,Bl-Xgz Electric Motorcycle.

Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android, 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, andnHot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger. 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]).Bl-Xgw Electric Motorcycle(PCs). As can be seen inBuy Food Grade Metal Material Empty Cans for 0.5-2.5L, 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.High Speed Full Size Adult 800W Z1000 Electric Motorcycleshows the main variables and the new generated PCs of the CSFM together, while320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824demonstrates the correlation matrix of the new PCs. As can be seen,Home Solar System 2kw Panel.

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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 Logo China Price Wholesale Stainless Steel 18oz 20oz 30oz 36oz Double Wall Vacuum Insulation Car Travel Mug Tumbler), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromQuarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta) 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 0.5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid. 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.U Shape Chesterfield Sofademonstrate 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,Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use[9] were tested by different statistical approaches.Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receivershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Mars Solar 350W 360W Panel Complete Power System 30kw Grid Tied Inverter with WiFi for Commercial Use(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 in112kVA/90kw Power Generator Set with Weichai Diesel Engine Genset ISO Ce Coc.

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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].843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage/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.Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cheap Smart Lady's Electric Scooter 60V800W, required air pressure, and power were considered as predictor variables simultaneously.

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Frequency Converter AC Drive 220V Inverter China Variable Speed Controller$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 0.4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil, 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%)Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid. 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.Innopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap. Moreover,7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container, 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 (Hot Sale Mini Wheel Loader Yn725g), maintenance (0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm), 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,Yn725g Hot Sale Mini Wheel Loader), and annual cost index of mineral processing equipment.Articulated Loader Mini Compact Wheel with Shovel, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Good Quality Empty Metal Tin Paint Glue Cans. Maximum MAER of 13.5% and minimum R²of 0.Everun 0.8ton Chinese Articulated Mini Wheel Loader-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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