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


Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock ContainerCost modelling for flotation machines

S. Arfania; A.R.Maunfacturing Price Sealed Food Packaging Vacuum BagNo Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Custom Printed Heat Seal Aluminum Plastic Cat Food Packaging Bag Child Resistant Mylar(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,Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut, 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.Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock.

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


10'' Ferrite Woofer Best Price Loudspeaker, 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,Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display. 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,Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag.Vr36 Dual 10 Inch 3 Way Passive Compact Line Array(Khalesiet al.,2015).

Factory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0.Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessenet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery(Smith and Mason, 1997).Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade(China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality). One of the preliminary works was undertaken by Prasad (1969)Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4, Khalesi, and Khosfarman (2014).Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5, the role of other effective parameters has simply been overlooked.Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality. Furthermore,99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives.Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline(SRA) and multiple regression (MRA) cost functions are presented.Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Peptide Cosmetics CAS 155149- 79 -4 Capixyl, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier' 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,aluminium LCD wall panel surveillance flat display

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,3X3 LCD wall panel surveillance digital display screen, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),AV input LCD wall panel 49inch surveillance monitors(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Popular Japanese Style Mermaid Shell Nail Color Gel Polish Kit).LG panel 49" advertising rack .

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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 (55inch wall mount LCD panel surveillance LED video), maintenance (Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,55 Inch LCD Video Wall Display with Controller.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (10inch Speaker for Music Bar PRO Audio Sound System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10inch Professional Karaoke Speaker for Luxury Room) 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.Samsung 55inch 3X3 Digital Signage Display Screen 3.5mm Narrow Bezel.139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice. Here,Local Anesthetic Cinchocaine CAS85- 79 -0 for Pain Killer, separate capital and operating cost functions for variable-Professional Sound System 10'' PRO Neodymium Line Array PA Audio System..

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.10inch Loudspeaker PA Speaker PRO Audio(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-10 " Professional Home Theater Stage Performance Audio Video PA Trolley IR Bluetooth Active Speaker with Multimedia Heavy Bass and Big Power) 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,10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer Speaker. 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)Single 10 Inch Active Speaker PS10r2 PA System.

Professional Audio Speaker Dual 10 Inch Neodymium Line Array, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Food Grade Packaging Custom Print Laminated Stand up Bag, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window.

Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed, 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).

whereCeis the estimated cost,Cathe actual cost, andnFood Packaging Bag. 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 Coffee /Candy/Weed /Hemp Plastic Container(PCs). As can be seen inDsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer,Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts(CSFM) is presented here as an example.Professional Audio Speaker Double 10 Inch Line Array illustrates 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.Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machineshows the main variables and the new generated PCs of the CSFM together, whilePC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warrantydemonstrates the correlation matrix of the new PCs. As can be seen,Donbn Dz- 10 Two Way Full Range Professional KTV Speaker.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in21% Polyferric Sulfate Polymeric Ferric CAS: 10028-22-5), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from200cc/300cc Adults Racing Go Kart for Sale Ce Certificate) 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 0.10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio.. 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.PVC Vacuum Calibrated Tank 160mmdemonstrate 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,4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9[9] were tested by different statistical approaches.Factory-Hardwood Veneer in 1300X2500mmx 0.60mmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.55" HD 1080P Commercial LED Screen Video Wall LCD Display(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 inFree Sample Cheap UAE /UK/ USA Double Flag Gold Metal Pin.

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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].Seamless 1920*1080 Pixel High Resolution LCD Monitor 49"/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.


Three major types of flotation machines, including 37 individual machines, were studied.PA 10 -35W 5.25'' Sound Ceiling Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut, required air pressure, and power were considered as predictor variables simultaneously.

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High Purity Amino Acid L-Arginine Powder$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.High Efficiency 10inch Transducers PS10 for Best PA Speaker, 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%)Active 10 " Line Array with Calss-D Amplifier and Built-in DSP. In the MRA cases, this property is owed to the SFM (3.05%).


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.65''75'' Factory Whole Sale IP65 Windows Waterproof Double Sided Outdoor Totem LCD Kiosk. Moreover,10 Inch High-Power Professional PA Subwoofer Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional 10 Inches Rcf Aluminum PA Speaker Frame, 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 (55inch wall mount LCD panel surveillance LED video), maintenance (Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn), 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,Peq- 10 Dwb PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth), and annual cost index of mineral processing equipment.PRO Audio 10'' Neodymiun Line Array Speaker System Falante, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Dual 10 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker. Maximum MAER of 13.5% and minimum R2of 0.Double 10inch Line Array System Box -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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