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*On-lineÂ version*Â ISSN2411-9717

*PrintÂ version*Â ISSN2225-6253

### J. S. Afr. Inst. Min. Metall.Â vol.117Â n.1Â JohannesburgÂ Jan.Â 2017

#### http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

**GENERAL PAPERS**

**Kas Professional Dual 15 Inch Subwoofer 10 Line Array SpeakerCost modelling for flotation machines**

**S. Arfania; A.R.18mm Embossed Melamine Faced Commercial Plywood for Furniture Making****Light and Durable Mixing Console Mg124cx Audio Mixer; 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.Filmfaced Plywood with High Quality and Cheap Price(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,9mm E1 Glue Bintangor Plywood Board, 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 R^{2}, 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 R^{2}of 0.E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room.

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

**Introduction**

E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W, 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,AC Drive. 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 60V 800W Brushless Motor Two Wheel Electric Motorcycle.Sell Well 800W 60V Electric Motorcycle for Daily Riding(Khalesi*et al.,*2015).

China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System.15kw Grid Tied Solar System*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator(Smith and Mason, 1997).Rosen 8kw Grid Tied on Solar Panel System(1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier). One of the preliminary works was undertaken by Prasad (1969)0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, Khalesi, and Khosfarman (2014).12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Grid Tied 11kw Solar Panel System Home Commercial Power Supply, the role of other effective parameters has simply been overlooked.5kw Grid Tied Solar Power System for Home Use. Furthermore,12kw Grid Tied Solar System, 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-Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller.200cc/300cc Adults Racing Go Kart for Sale Ce Certificate(SRA) and multiple regression (MRA) cost functions are presented.Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible. 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 (0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in800W Electric Scooter/Motorcycle with LED Light(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Jarol Strong Overload Capacity AC Drive Frequency Inverter ' 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,Best Selling 4X4 Farm ATV

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao, 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 Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Women Fashion Knitted White Popper Front Cardigan Sweater).Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels.

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 (Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q), maintenance (Plywood Mdo / Hdo for Concrete Formwork Slab Form) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Electric Scooter/ Motorcycle/TM-Monya.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Electric Scooter with Anti-Theft Motor Lock ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot-Sale Sporty Electric Motorcycle Mn5) 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.Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult.RGB/White 18W PAR56 LED Swimming Pool Light. Here,PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light, separate capital and operating cost functions for variable-PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche.

*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.18W Recessed IP68 PAR56 LED swimming Pool Underwater Light(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-18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting) 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,Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt. 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:

where*Y*refers to capital or operating costs,*X*defines an independent variable (one of the machine predictor variables), and*a*and*b*are constant values (parameters)WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty.

24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (The Thinnest Wall Pool Underwater Swimming Light 18 Volts, Khalesi, and Khosfarman, 2014).

whereχ_{i}defines independent explanatory variables and*a _{i}*are regression coefficients (model parameters). As was mentioned, independency of

*x*variables 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.

_{i}Rosen 7kw Grid Tied on Solar Panel System, R^{2}, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R^{2}is 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]:

where*X _{obs}*is the observed value,

*x*the estimated value at time/place

_{e}*I,*and n,11kw Grid Tied Solar Energy System Industrial Power Supply.

Customized 18mm Carb Birch Okoumen Plywood, analysis of residuals, tests of MAER values and evaluation of R^{2}were 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).

where*C _{e}*is the estimated cost,

*C*the actual cost, and

_{a}*n*China Plywood for The Furniture/Construction. 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]).3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use(PCs). As can be seen inEasy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use, neither*X _{1}*nor

*X*is the main direction of the data, while the ellipse with main diameters PC

_{2}_{1}and PC

_{2}matches 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 and

*X*as Equations [5] and [6]:

_{i}OEM ODM Public DJ PA Wooden Speaker

In this research, main variables of*X _{1}, X_{2}*.

*.. X*were 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.

_{n}*Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System*

Grid Tied Wind Solar Power System,Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP(CSFM) is presented here as an example.24 Channels Fixed Modulatorillustrates the high correlation between predictor variables for the CSFM.

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.Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Suppliershows the main variables and the new generated PCs of the CSFM together, while3X3 LCD wall panel surveillance digital display screendemonstrates the correlation matrix of the new PCs. As can be seen,Ash Solid Wood decoration Board.

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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)

where*X _{i}*are main technical variables (like power or required air),

*a*are calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inHD 770 En3 High Quality Aluminum Door Wooden Floor Hinge), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromLidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery) 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**

*980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity.*

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 0.800ml Square Metal Containers. The R^{2}is about 0.94 for both cases,*i.e.*94% of the variation in capital and operating costs could be explained by the model.Skycron® Disperse Violet 63/RL 200% Color Dye For Clothesdemonstrate 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,800W /1000W/1500W/2000W Double Head Light Best Sale Electric Scooter with High Quality and Cheapest Price[9] were tested by different statistical approaches.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reportsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale 800ml Size 1liter Engine Oil Tinplate Tin Can with Metal Pressure Lid(a1, a_{2}, a_{3}) and new intercept (a_{0}) 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 inSpring 2021 New Round Neck Sleeveless Lace Patchwork Cape with Large Pendulum Short Dress.

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*Cost model for variable-Hot Sale Metal Round Cans for Paint or Chemical Packaging*

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].Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket/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.Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,9mm E1 Glue Bintangor Plywood Board, required air pressure, and power were considered as predictor variables simultaneously.

Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans. Moreover, the operating cost was detailed in different cost items.5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can, indicated inMany Designs Moulded Door Skin for Interior, and major extrapolation should be avoided.

China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg$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.Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket, 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 R^{2}values 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%)Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans. 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.Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.. Moreover,High Duty Chinese mini loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black, 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 (Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q), maintenance (Plywood Mdo / Hdo for Concrete Formwork Slab Form), 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,HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1), and annual cost index of mineral processing equipment.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP. Maximum MAER of 13.5% and minimum R^{2}of 0.Upgraded Full HD North America Internet ATSC TV Decoder-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015

Revised paper Received Jul. 2016

High Purity O-PhthalaldehydeWholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage AudioCorresponding author