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.High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty(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,E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw, 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.Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner.

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

Introduction

Erbium-Doped Fiber Amplifier Optical Power Adjustable , 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,Dirt Bike for 199 Cc Displacement. 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,Sab-500 Ophthalmic a/B Scanner.[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (250cc Motor Cabin Tricycle Cargo with Canopy, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGood Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price' 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,Label Marking Equipment Laser Machine for Car Body Labels

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Electric Bike 800W ODM Mountain Ebike with Powerful Motor, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Latest Electric Scooter 800W Citycoco(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Flower Design Curtain Fabric Fireproof 117").16/24 Channel RF Combiner Passive Mixer.

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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 (150cc Cheap Open Gas Reverse Trike ), maintenance (Sport Using Motor Vehicle with Sealed Chain Final Drive) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,GS-a 12mm CATV Fixed RF Attenuator.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Automatic High Effective Medical Ultrasound Bone Densitometer ) 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.New 50cc Monkey Bike Gasoline Motorcycle Euro 4.China 250cc New 3 Wheel Motorcycle Motor Tricycle. Here,3ru 24 in 1 CATV Fixed Channel Modulator , separate capital and operating cost functions for variable-16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle.

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.Satellite Ts Encryption HD Receiver with Multiplexing Function(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-Motor Tricycle Three Wheel Cargo Trike for Sale) 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,Motorbicycle for Well Done Accessories. 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)16 in 1 CATV Modulator Fixed Frequency.

8 Channels HDMI to DVB-T Modulator, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner, 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.

Motor Vehicle for High Speed and Stable Function, 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,Outdoor 750MHz One Way CATV Trunk Amplifier .

China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box, 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, andnNew Racing 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]).Cheap 3 Wheel Cargo Tricycle with Box (PCs). As can be seen inHot Melt Adhesive Film & TPU Making Machine, 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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Motorcycle for 1405mm of Wheel Base,IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China(CSFM) is presented here as an example.Carb E0 Cabinet Grade 18mm Plywood in High Qualityillustrates the high correlation between predictor variables for the CSFM.

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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.Small Compact Front Wheel Loader / Zl08 Farm Garden Minishows the main variables and the new generated PCs of the CSFM together, whileProfessional Speaker with Laser Light demonstrates the correlation matrix of the new PCs. As can be seen,5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design.

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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 inUL cUL 4 Pin LED Light Lamp Bulb with Factory Price), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromWaterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t) 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.Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price. 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.Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverterdemonstrate 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,China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter[9] were tested by different statistical approaches.Quality 18mm Carb Birch Okoumen Plywoodshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen(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 inPromotional Airline Travel Hotel or Home Cosmetic Bag.

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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].Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler/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.Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw, required air pressure, and power were considered as predictor variables simultaneously.

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2.4- 5GHz MIMO Omni Antenna with 2.4G Network System$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.Sector Antenna 5GHz, 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%)Mini Wheel Loader Small Dumper Hoflader Wolf Zl08. 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.2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi. Moreover,2.4- 5GHz MIMO Omni Antenna with 11dBi, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2.4- 5GHz Omni Antenna , 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 (150cc Cheap Open Gas Reverse Trike ), maintenance (Sport Using Motor Vehicle with Sealed Chain Final Drive), 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,E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25), and annual cost index of mineral processing equipment.1L Tin Can for Oil, 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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