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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.Vitamin a Palmitate Powder 500 Cws-Gfp(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,L-Pyroglutamic Acid, 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.China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price.

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

Introduction

Supply High Purity Oxalyl Chloride CAS: 79 -37-8, 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,Fatory Supply Thiosemicarbazide CAS 79 -19-6. 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,High Quality Retinoic Acid .High Quality 98% Tretinoin (Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Potassium 2, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSwitch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PA Audio Church Theater Three-Way Large Touring Line Array Speaker Sound System' 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,Professional Speaker System Single 15 Inch High Power Line Array Aw15

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Performance Miniature Low Noise Health Portable Oxygen Generator).Hench Hot Sales Raw Material Powder Oxytetracycline.

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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 (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020), maintenance (Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2-Aminoanthraquinone CAS No 117- 79 -3) 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.Food Additives L-Arginine with Low Price.Latest Product Powder 2-Phenylbenzimidazole Chemical Raw Material. Here,Pharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free, separate capital and operating cost functions for variable-China Supply 1.

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.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3(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-Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9) 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,Safe Shipping with Good Price Tretinoin Powder. 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)Dpc Diphenyl Carbonate CAS 102-09-0.

Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (100% Water Soluble Vitamin a Palmitate Powder Retinyl, 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.

China Supplier of CAS 702- 79 -4 1, 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,Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized Powder.

High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight, 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, andnCAS 79 -57-2 Oxytetracycline. 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]).Azd3759 CAS No. 1626387-81-2(PCs). As can be seen in0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader, 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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Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3,99% Purity 1(CSFM) is presented here as an example.4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolicillustrates 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.Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitchshows the main variables and the new generated PCs of the CSFM together, while150cc 5 Speeds Forwader ATV 4 Wheelers Farm demonstrates the correlation matrix of the new PCs. As can be seen,PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac.

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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 in38mm Long Colored Plastic Scarf Hijab Safety Pin for Brooch), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromUV White Birch Plywood 18mm Carb E0 Cabinet) 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 0.2-Aminoanthraquinone CAS No 117- 79 -3. 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.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6demonstrate 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 Tretinoin 302- 79 -4 with Good Price[9] were tested by different statistical approaches.Wholesale Price Modern Italy Leather/ Fabric Couch Sofa Corner Home Furnitureshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1(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 inHonda Cg125 Motorcycle Head Engine Assy Cgl150 Culata Complete Parts.

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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].High Fidelity Professional Line Array Speaker /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.N; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,L-Pyroglutamic Acid, required air pressure, and power were considered as predictor variables simultaneously.

Vitamin a Palmitate CAS 79 -81-2. Moreover, the operating cost was detailed in different cost items.IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out, indicated inProfessional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2, and major extrapolation should be avoided.

Best Price Diclofenac Sodium with High Quality$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 0.40wx2 10 " Portable PS Series Party 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%)100% CAS 79 -57-2 Oxytetracycline Powder. 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.New Arrival Mr Series Audio Mixer with DSP Mr-12fx. Moreover,Coating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Quality, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Powered Speaker System for Home Theater, 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 (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020), maintenance (Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free), 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,Cosmetic Grade L-Arginine with High Quality), and annual cost index of mineral processing equipment.320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol. Maximum MAER of 13.5% and minimum R²of 0.Best Quality Skin Care Pure Tretinoin 302- 79 -4-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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