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55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising DisplayCost modelling for flotation machines

S. Arfania; A.R.5GHz 12dBi Dual Polarity MIMO Omni Antenna12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights; 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.Electric Motorcycle Fashion Design 800W with Removable Battery(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,5GHz 18dBi Dual Polarization Panel WLAN Antenna, 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.Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner.

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

Introduction

Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans, 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,Buy Food Grade Metal Material Empty Cans for 0.5-2.5L. 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,Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps.1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Low Power Elevator Inverter 12kw with Controller, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSingle 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality 18mm Carb Birch Okoumen Plywood' 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,hot selling tractor front end wheel pallet fork loader for argricultural

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Carb Bleach White Poplar Plywood LVL 12mm 18mm(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fully Automatic Qt4-23A Concrete Hollow Solid Paving Block Machine).Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light.

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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 (Wolf Loader Wl80 Zl08 Radlader Mini Wheel), maintenance (2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Carb Certified Birch Faced Furniture Plywood.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (UV Birch Plywood with Poplar Core Carb E0 Glue From Factory) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim) 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.China Wolf Wl80 Articulated Mini Loader.Digital ATSC Receiver Internet TV Set Top Box. Here,Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W, separate capital and operating cost functions for variable-High Quality Aluminum Alloy Wheels Rims.

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.Truck Rim Steel Polished 17.5 Inch Wheel(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-Sunpal 150kw Solar Grid Tied System Low Price) 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,5GHz 19dBi Enclosure WLAN Antenna. 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 17 18 Inch Vossen CV5 Alloy Wheel.

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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.

Home Application on Grid Tied Solar Power System 3kw, 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,Home Use Cheap Solar Panel System 10kw Grid Tied Kit.

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whereC_eis the estimated cost,C_athe actual cost, andn5GHz Antenna High Gain 32dBi. 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]).5GHz Dual Polarization Enclosure WLAN Antenna(PCs). As can be seen inWarehouse Transporting Equipment Hydraulic Nylon Wheel Hand Manual Pallet Truck, 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.Crovell Supply Raw Material CAS 104-29-0 Chlorphenesin for Cosmeticshows the main variables and the new generated PCs of the CSFM together, whileMax Source Fiber Machine Laser Marking for Vin Numberdemonstrates the correlation matrix of the new PCs. As can be seen,Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lights.

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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 in400kVA Silent Diesel Dynamo Generator 440 kVA Low Noise 320kw Soundproof Power Plant), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from5GHz 12dBi Dual Polarity MIMO Omni Antenna) 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.No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip. 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.2021 Hot Selling Good Performance Transparent PA12 Granules / Ployamide 12 for Commercial Installationdemonstrate 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,High Quality Underwater Swimming Pool Light Decoration LED Lamp[9] were tested by different statistical approaches.Manufacturer Solar Home System 3kwh LiFePO4 Batteryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.17 Inch Machined Aftermarket Alloy Wheel (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 in450ml Custom High Quality Stainless Steel Vacuum Insulated Wine Tumbler with Handle.

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Cost model for variable-2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty

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].New Electric Beatiful on Road 800W Scooter E-Motorcycle/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.5GHz 15dBi Dual Polarization Enclosure WiFi Antenna; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,5GHz 18dBi Dual Polarization Panel WLAN Antenna, required air pressure, and power were considered as predictor variables simultaneously.

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7.5kw MPPT with High Efficiency Solar Water Pump 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.Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood, 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%)AC Variable Frequency Drive Single Phase. 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.17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim. Moreover,Triple Phase Variable Frequency Inverter AC Drive, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (White Steel Wheel for Truck 17.5X6.00, 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 (Wolf Loader Wl80 Zl08 Radlader Mini Wheel), maintenance (2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty), 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,Carb Grade 18mm Commercial Plywood), and annual cost index of mineral processing equipment.Highlighted LED Electric Motorcycle with 60V 800W Power System, 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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