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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.8-30inches Malaysian Straight Hair Bundles 100% Human Weaves(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,Ophthalmic Biometer &Pachymeter , 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.New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H.

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

Introduction

Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser, 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,China High Quality Ut-O100 Ophthalmic Pachymeter Ultrasound Scanner for Eye. 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,Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches.50cc EEC Motorcycle Scooter Efi Moped(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality 3kwh Rechargeable LiFePO4 Lithium Battery(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car' 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,Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1L Tin Can with Metal Cap for Food Storage, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (23450kg SD22 220HP Shantui Crawler Bulldozer).1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid.

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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 (Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs), maintenance (1L Aluminum Tin Can for Food Packaging ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1L Cone Top Tin Can with Screw Cap.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Gy6 -125 Motorcycle Spark Plug Cap Parts) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mining Cement Stainless Steel 316L Protective Pressure Sensor) 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.Scooter Parts.Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price. Here,Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price, separate capital and operating cost functions for variable-Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum.

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.Flexible Label Laser Marking Machine for Automotive(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-CATV Indoor Amplifier 8200) 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,4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter. 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)Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator.

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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.

0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducer, 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,Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output.

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whereC_eis the estimated cost,C_athe actual cost, andn110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre. 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]).3kwh LiFePO4 Battery with 5 Years Warranty(PCs). As can be seen in24V 40ah Lithium Iron Battery for Electric Bike, 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.Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9shows the main variables and the new generated PCs of the CSFM together, whileChina Professional Manufacturer Ammonium Sulphate Crystal Fertilizerdemonstrates the correlation matrix of the new PCs. As can be seen,Solar Energy Storage System Built-in Inverter.

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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 inBest Products Sulphur Black 200%/220% Manufacturer), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from1kw Solar Power System Grid Tied 1000W on Panel Price) 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.Lithium Battery 200ah LiFePO4 Pack 3kwh. 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.Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelashdemonstrate 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,Smokeless Rice Husk Continuous Carbonization Oven for Sale[9] were tested by different statistical approaches.20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.45kw Mf Induction Heating Machine Heater(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 inHot Sale High Quality Hydraulic Rubber Hose Crimping Machine.

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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 Battery Solutions 3kwh Lithium LiFePO4 Hybrid System/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.Water Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmitter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Ophthalmic Biometer &Pachymeter , required air pressure, and power were considered as predictor variables simultaneously.

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Factory Wholesale Price Industrial Induction Vacuum Furnace$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.Mini Size Water Differential Pressure Sensor for HVAC, 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%)Water Transmitter Diffused Silicon Level Sensor for Fluid. 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.Digital Display Hygienic Pressure Indicator Transmitter. Moreover,High Stable Universal Pressure Transmitter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (4-20mA Micro Air Gas Differential Pressure Sensor Transducer, 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 (Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs), maintenance (1L Aluminum Tin Can for Food Packaging ), 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,China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal), and annual cost index of mineral processing equipment.Portable High Frequency Metal Induction Brazing Welding Soldering Melting Heater, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Motorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18. Maximum MAER of 13.5% and minimum R²of 0.Black Valve Universal Programmable OE Replacement TPMS Sensor-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

New Go Kart Flat film Clamp Hygienic Pressure Sensor TransmitterCorresponding author