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Hotel Bedroom Furniture/Hotel Furniturecombination Sofa/Hotel Modern Sectional Sofa/Living Room Sofa/Corner Sofa/Upholstery Fabric Sofa Cost modelling for flotation machines

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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.Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City(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,Square Engine Oil Tin Can with Screw Cap Manufacturer Lid, 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.Frequency Converter 60Hz 50Hz 150HP.

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

Introduction

Frequency Converter 60Hz 50Hz 125HP, 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,Frequency Converter 60Hz 50Hz 160HP. 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 Converter 60Hz 50Hz 60HP.Frequency Converter 60Hz 50Hz 75HP(Khalesiet al.,2015).

Frequency Converter 75HP Three Phases.Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar(Smith and Mason, 1997).CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader(Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18). One of the preliminary works was undertaken by Prasad (1969)Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, Khalesi, and Khosfarman (2014).Frequency Converter 50HP Three Phases; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale, the role of other effective parameters has simply been overlooked.3HP Three Phase Frequency Converter. Furthermore,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, 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-10HP Three Phase Frequency Converter.957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate(SRA) and multiple regression (MRA) cost functions are presented.China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls. 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 (Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCustomized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wl80 Mini Loader with Yanmar Engine' 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,Red Oak Veneered MDF for Interior Design and Renovations

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Anti-Infrared Adhesive Hook & Loop Tape).Everun Brand Mini Front End Loader 0.8 Ton Wheel.

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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 (Zl08 800kg China Small Garden Tractor with Front Loader Yard), maintenance (Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Bulk Fashion Smart Electric Scooter 60V800W20ah) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (962 Complete Solar System 40kw on Grid Home with High Quality) 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.off Grid 20kw Solar System 20 Kw Panel Kit.Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult. Here,Rosen 1kw Grid Tied on Solar System to Global Market, separate capital and operating cost functions for variable-475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use.

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.959 33kw on Grid Solar Home System with Power Inverter(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-498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use) 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,Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery. 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)955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.

0.18mm Zebra Wooden Veneer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Europe Popular 5kw Grid Tied Home Solar Energy System with Ce, 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.

High Grade Block Board for Furniture Produce, 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,954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.

952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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, andn32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush. 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 B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer(PCs). As can be seen in55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17, 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.1.5kw 220V Frequency Converter Single Phase 380 3shows the main variables and the new generated PCs of the CSFM together, whileFactory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TVdemonstrates the correlation matrix of the new PCs. As can be seen,Oil Treatment Packaging Tin Container Can.

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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 inQt4-18 Automatic Hydraulic Block Making Machine for Hollow Block), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAutomatic Shrink Wrapping Machine 0-20package/Min) 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.Factory-Slicer Natural American Red Oak Veneer in 0.50mm. 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.Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wooddemonstrate 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,Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Battery[9] were tested by different statistical approaches.Mc4y Solar System Waterproof Connectorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Custom Waterproof and Oil Sealing Round Metal Tin Can(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 inColor Coated Corrugated Steel Roofing Sheets for Tile Roof.

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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].Innopack Tin Can with Brush Round Oil Cans/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.Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Square Engine Oil Tin Can with Screw Cap Manufacturer Lid, required air pressure, and power were considered as predictor variables simultaneously.

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Food Grade Round Tin Can for Welded Milk Powder Packaging$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 0.1gallon Round Metallic Tin Can with Metal Handle for Paint, 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%)Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W. 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.Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use. Moreover,350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Fluid Storage Containers Lubricants for Use, 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 (Zl08 800kg China Small Garden Tractor with Front Loader Yard), maintenance (Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults), 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,0.8t 800kg Small Loader), and annual cost index of mineral processing equipment.Factory Direct High Quality Glue Round Tin Cans with Brush, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric. Maximum MAER of 13.5% and minimum R²of 0.Cute Street Electric Scooter with LED Light 60V800W20ah-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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