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.Hot Sale Mini Wheel Loader Yn725g(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,0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm, 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.Low Frequency Inverter AC Drive.

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

Introduction

Frequency Inverter Converter 50Hz 60Hz, 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,Single Phase Mini AC DC Motor Speed Controller. 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,Frequency Inverter Pump AC Drive Price.Jarol Frequency Inverter JAC200 3 Phase 380V 4kw(Khalesiet al.,2015).

Inverter.AC Drive Inverter Low Frequency Poweret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Excellent Quality Hydraulic Arm Cyl Seal for E307D Excavator(Smith and Mason, 1997).0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump(Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controller). One of the preliminary works was undertaken by Prasad (1969)AC Drive Variable Drive, Khalesi, and Khosfarman (2014).China AC Drive Manufacturers; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China AC Drive Frequency Inverter Manufacturer Supplier, the role of other effective parameters has simply been overlooked.Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle. Furthermore,1500W Electric Motorcycle, 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-High Speed Electric Motorcycle Scooter.Bl-Xgz Electric Motorcycle(SRA) and multiple regression (MRA) cost functions are presented.Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android. 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 (Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Bl-Xgw Electric Motorcycle' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Soybean Broadband Fungicide Pyraclostrobin).Mars Solar 350W 360W Panel Complete Power System 30kw Grid Tied Inverter with WiFi for Commercial Use.

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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 Quality 5000W Grid Tied Solar Power Generation System Competitive Price), maintenance (843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yangtze 10kw Grid- Tied Solar System) 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 Converter AC Drive 220V Inverter China Variable Speed Controller.4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil. Here,Chemical Use 10L 20L Metal Tin Paint Bucket Pail with Flower Cover / Ring Lock Lid, separate capital and operating cost functions for variable-Innopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap.

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.7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container(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-5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container) 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,Yn725g Hot Sale Mini Wheel Loader. 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)Articulated Loader Mini Compact Wheel with Shovel.

Good Quality Empty Metal Tin Paint Glue Cans, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Everun 0.8ton Chinese Articulated Mini Wheel Loader, 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.

Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity, 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,500ml Round Resealable Tin Can with Easy Open Screw Top Lid.

Compact wheel loader snow pusher landscaping, 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, andnFactory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle. 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]).Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse(PCs). As can be seen inSp-1000ap Ophthalmic a Scan and Pachymeter, 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.Power Saver for Industrial shows the main variables and the new generated PCs of the CSFM together, whileCustomized Supported Android 9.0 X96 Air Media Boxdemonstrates the correlation matrix of the new PCs. As can be seen,Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter.

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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 inPromotion Rsbm Standard Bucket Suit 20 Ton Excavator), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromTop Quality Tretinoin Powder  Retinoic Acid for Skin Care) 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.Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China. 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.Dual 10inch 3 Way Professional Stage Line Array Speakerdemonstrate 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,Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV[9] were tested by different statistical approaches.Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.AC Drive Frequency Variable General Power Supply Solar Motor Pump(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 inLovely Cartoon Toy Customized Soft Kids Stuffed Plush Character Doll.

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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].500kw Solar Energy System Grid Tied 500kwatt Panel Station/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 Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm, required air pressure, and power were considered as predictor variables simultaneously.

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Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw$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.Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader, 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%)Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw. 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.1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System. Moreover,Yn725g Yineng Mini Wheel Loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solar Energy System 5kw Panel Home Grid Tied Power, 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 Quality 5000W Grid Tied Solar Power Generation System Competitive Price), maintenance (843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage), 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,Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design), and annual cost index of mineral processing equipment.Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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