GENERAL PAPERS

1L HDPE Plastic Bottle ChemicalCost modelling for flotation machines

S. Arfania; A.R.Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial98% Uvarigranol B\C\D\E Standard Reference Materials Plant Extracts; M.R. Khalesi

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.High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle (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,Mountain Using Motorcycle with Strong Steel Tube Frame, 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 0.10W 20W 30W portable Fiber Laser Marking Machine.

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

Introduction

CATV 860MHz One Way Amplifier, 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,CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz. 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,CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties.High Efficiency SIM Card Fiber Laser Marking Machine(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Electricity Power Reducer , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inQuadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25' 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,Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Three Wheel Motor Tricycle Rickshaw Rear Axle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1.3mm Round Bamboo Incense Sticks for Sale Raw Material).Gas Powered Adult Tricycle Motor Farm.

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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 (Motorcar for Both Civilc and Police Using with 320cc Displacement), maintenance (Police Using of Motorcycle for Cruiser with Displacement 320cc) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (7kwh Multi-Function Solar Energy Lithium Battery Ion for Home) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain) 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.45cm Offset Satellite TV Antenna with 200 Hour UV Test.5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi. Here,45cm Offset Satellite Dish TV Antennas, separate capital and operating cost functions for variable-150ah Lithium Iron Phosphate .

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.2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things(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-E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers) 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,C Band Satellite TV Antenna 150cm. 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)Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China.

Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter, 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.

Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female, 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,4000W/5000W off Grid Tied Solar Power System.

Internet TV Box Linux IPTV Zgemma I55, 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, andnL-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres. 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]).High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty(PCs). As can be seen inGlobalipl Body Face Slimming Fine Jaw Line 20MHz Device, 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.ADSS Body Slimming Beauty Machine shows the main variables and the new generated PCs of the CSFM together, whileAcoustic and Electric Guitar Hard Ware Machine Head Mh-3692demonstrates the correlation matrix of the new PCs. As can be seen,Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector.

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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 inDyestuff Sulphur Dyes Black B 200% Granule for Textile), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromVariable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor) 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 0.2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home. 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.Dm 15 Inch PA Full Sound Systems Professional PRO 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,Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms[9] were tested by different statistical approaches.Electric Pipe End Bevelling Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Waterproof IP65 Microinverter 1200W 120-230VAC Single Phase Grid Tied Solar Panel 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 inRetail Easy Clean Moistureproof Loose Lay PVC Vinyl Flooring 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].Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases/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.New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Mountain Using Motorcycle with Strong Steel Tube Frame, required air pressure, and power were considered as predictor variables simultaneously.

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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.Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode. Moreover,China Famous Brand Hr912 Shovel Loader for Agriculture Working, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System, 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 (Motorcar for Both Civilc and Police Using with 320cc Displacement), maintenance (Police Using of Motorcycle for Cruiser with Displacement 320cc), 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,25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader), and annual cost index of mineral processing equipment.Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,China Factory Lithium 150ah Battery with BMS AC Output. Maximum MAER of 13.5% and minimum R²of 0.Intelligent Power Saver for Industry Use-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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