Mathematical Model Sample Clauses

Mathematical Model. Aiming to offer an incentive structure for agricultural contracts between small scale soybean farmers and the biodiesel industry under the PNPB framework, a mathematical model was developed using a nonlinear programming technique. The objective function could be defined in several ways; maximizing the revenue of the firm, maximizing revenue of the farmer with fixed productivity or maximizing the farmer revenue with varied productivity. Following the proposal of Xxxxxxx (1998) concerning the relationship between incentives and performance, it was chosen to maximize the farmer revenue with varied productivity. Thus, to run the model, the following input data were considered: Farmer revenue Total revenue (TR) per hectare of the small scale soybean farmer, considering the price of the soybean within a range of productivity (soybean per hectare). 𝑅𝑇 = � (𝑃𝑆𝑘 𝑥 𝑃𝑅𝑂𝐷𝑘) 𝑘=1
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Mathematical Model. The objective of the model is to maximize the total profit of whole industrial cluster. Furthermore, it supports to perform further economic analysis. We should emphasize that the model below was only in Xpress code. Our first task was to convert the model into mathematical form, have better understanding of it and especially focusing on the integrated steel plant to see the shortcomings. In the beginning we will describe notations for used sets, common parameters and variables for the cluster. Then we will introduce the common objective function followed by the constraints grouped according to each plant. Sets P : set of all plants in the cluster including the market.
Mathematical Model. While building the model, we have been inspired by the research done previously in this area as mentioned in literature review chapter. Furthermore our model contain some of the generalized forms of constraints from the code provided by SINTEF research team since it was required to be compatible with the initially provided model. Since it is definite that steel plant will be established and it is assumed that it will at least satisfy the demand for Norway, we have changed the model structure a bit. This means that sale of the steel plant is fixed to demand value so that there is no such objective for the plant as increasing the sales. We will absolutely sell as much as the demand. Therefore it was also important to perform reliable forecasted value for demand. The planning horizon is divided into several periods since there is also a life after our first decision. The number of periods can be changed as per planner’s wish our aim is to build multi-period model. Inventory balance is added to the model, because the planning horizon consists of several periods. At the beginning of the planning horizon the inventory is assumed as 0. There has to be a final inventory at the end of the planning horizon because it will be quite unrealistic to assume that the production and sales will stop right after the end of the planning horizon and the plant will not sell anything. We have determined the final inventory level as a fraction of the final demand. Moreover the model considers Carbon and Silicon reduction to the required level as well. All in all, the model aims to minimize the total cost of required raw materials, commodities, production and inventory holding cost while satisfying the demand. It gives the optimal amount of raw materials and commodities to be purchased as well as the optimal inventory levels at each period. Furthermore, flexible generation of compositions can be performed within the model in order to satisfy the concern of steel type variety. We will first give the notations of sets, parameters, variables and then will explain the objective function followed by all constraint explanations. Sets J: set of raw materials.
Mathematical Model. The Contractor shall be responsible of providing a detailed transient model of the PV facility and to show that it is capable of complying with PREPA's transient Minimum Technical Requirements.
Mathematical Model. Formulation: AMPL names:
Mathematical Model. The supply vessel planning problem can be formulated mathematically as an arc flow model and has been already studied by Xxxxxxxxx-Xxxxx at al.(2009). Formulation: min∑c jY j + ∑ ∑∑c jk X jkt (3) subject to j∈V j∈V k∈Rj t∈T ∑∑ ∑aijk X jkt ≥ si , j∈V k∈R x x∈T ∀i ∈ N

Related to Mathematical Model

  • Financial Model 37.1 Unless otherwise agreed between the parties, any amendments to the Financial Model shall reflect, be consistent with and be made only in accordance with the provisions of this Agreement, and shall in all cases be subject to the prior written approval of the Authority (such approval not to be unreasonably withheld or delayed). In the event that the parties fail to agree any proposed amendments to the Financial Model, the matter shall be referred for resolution in accordance with Schedule Part 20 (Dispute Resolution Procedure).

  • Calculation methodology No adjustment in the Conversion Price need be made unless the adjustment would require an increase or decrease of at least 1% in the Conversion Price then in effect, provided that any adjustment that would otherwise be required to be made shall be carried forward and taken into account in any subsequent adjustment. Except as stated in this Article VI, the Conversion Rate will not be adjusted for the issuance of Common Stock or any securities convertible into or exchangeable for Common Stock or carrying the right to purchase any of the foregoing. Any adjustments that are made shall be carried forward and taken into account in any subsequent adjustment. All calculations under Article V and Section 6.06 hereof and this Section 6.07 shall be made to the nearest cent or to the nearest 1/10,000th of a share, as the case may be.

  • Methodology 1. The price at which the Assuming Institution sells or disposes of Qualified Financial Contracts will be deemed to be the fair market value of such contracts, if such sale or disposition occurs at prevailing market rates within a predefined timetable as agreed upon by the Assuming Institution and the Receiver.

  • Calculation Any figure or percentage referred to in this Agreement shall be carried to seven decimal places.

  • Arithmetical Errors 30.1 The tender sum as submitted and read out during the tender opening shall be absolute and final and shall not be the subject of correction, adjustment or amendment in any way by any person or entity.

  • DATA FOR CALCULATIONS The initial calculations for any payments owing under this Agreement shall be based upon the valuations placed upon the Qualified Property by the Appraisal District in its annual certified appraisal roll submitted to the District pursuant to § 26.01 of the TEXAS TAX CODE in or about July of each year of this Agreement. The certified appraisal roll data shall form the basis from which any and all amounts due under this Agreement are calculated, and the data utilized by the Consultant will be adjusted as necessary to reflect any subsequent adjustments by the Appraisal District to the District’s appraisal roll. Any estimates used by the Consultant to make calculations as required by this Agreement shall be based on the best and most current information available. The Consultant shall from time to time adjust the data utilized to reflect actual amounts, subsequent adjustments by the Appraisal District to the District’s certified appraisal roll, or any other relevant changes to material items such as student counts or tax collections.

  • Basis of compilation This statement of eligible expenditure has been prepared to meet the requirements of the grant agreement between [enter Grantee name] and the Commonwealth represented by the Department of Industry, Science, Energy and Resources. Significant accounting policies applied in the compilation of the statement of grant income and expenditure include the following: [enter details] Certification by directors [if not director, replace with appropriate equivalent] [Grantee name] [Project number] For the period [dd/ mm/yyyy] to [dd/ mm/yyyy] We confirm that, to the best of our knowledge and believe, having made such enquiries as we considered necessary for the purpose of appropriately informing ourselves: Statement of grant income and expenditure We have fulfilled our responsibilities for the preparation of the statement of grant income and expenditure in accordance with the cash basis of accounting and the terms of the grant agreement with the Commonwealth, represented by the Department of Industry, Science, Energy and Resources dated [enter date]; in particular, the statement of grant income and expenditure presents fairly in accordance therewith. All events subsequent to the date of the statement of grant income and expenditure which require adjustment or disclosure so as to present fairly the statement of grant income and expenditure, have been adjusted or disclosed. [Where applicable] The effects of uncorrected misstatements are immaterial, both individually and in the aggregate, to the statement of grant income and expenditure as a whole. A list of the uncorrected misstatements is attached to this representation letter. That all Grantee contributions and other financial assistance were spent for the purpose of the project and in accordance with the grant agreement and that the Grantee has complied with the grant agreement and relevant accounting policies. That salaries and allowances paid to persons involved in the project are in accordance with any applicable award or agreement in force under any relevant law on industrial or workplace relations. Signature Name [enter name] Director Date [dd/mm/yyyy] Signature Name [enter name] Director Date [dd/mm/yyyy] For Auditor use only I certify that this statement of grant income and expenditure is the one used to prepare my independent audit report dated [enter date] for the Department of Industry, Science, Energy and Resources. Signature Name [enter name] Position [enter position] Auditor’s employer [enter employer name] Date [dd/mm/yyyy] Attachment B - Independent audit report Background for auditors The purpose of the independent audit report is to provide us with an auditor's opinion on the Grantee’s statement of grant income and expenditure. The statement of grant income and expenditure is prepared by the Grantee to correspond with the expenditure reported to the department by the Grantee for the same period, in the process of claiming grant payments. The independent audit report must be prepared by a person who is an approved auditor. An approved auditor is a person who is: registered as a company auditor under the Corporations Xxx 0000 or an appropriately qualified member of Chartered Accountants Australia and New Zealand, or of CPA Australia or the Institute of Public Accountants; and not a principal, member, shareholder, officer, agent, subcontractor or employee of the Grantee or of a related body corporate or a Connected Entity. The audit should be undertaken and reported in accordance with Australian Auditing Standards. The independent audit report must follow the required format and include any qualification regarding the matters on which the auditor provides an opinion. We may follow up any qualifications with the Grantee or auditor. The independent audit report must be submitted on the auditor's letterhead. Auditors must comply with the professional requirements of Chartered Accountants Australia and New Zealand, CPA Australia and the Institute of Public Accountants in the conduct of their audit. If the auditor forms an opinion that the statement of grant income and expenditure does not give a true and fair view of the eligible expenditure for the period, the independent audit report should be qualified and the error quantified in the qualification section of the independent audit report. The required independent audit report format follows. Auditor’s report Independent audit report in relation to [Grantee name]’s statement of grant income and expenditure to the Commonwealth, represented by the Department of Industry, Science, Energy and Resources (the department). We have audited: the accompanying statement of grant income and expenditure of [Grantee name] for the period [dd/mm/yyyy] to [dd/mm/yyyy], a summary of significant accounting policies and other explanatory information, and management’s attestation statement thereon (together “the financial statement”). The financial statement has been prepared by management using the cash basis of accounting described in note 3.2 to the financial statement; and [Grantee name]'s compliance with the terms of the grant agreement between [Grantee name] and the Commonwealth dated [date of agreement] for the period [dd/mm/yyyy] to [dd/mm/yyyy] (the grant agreement). We have: reviewed [Grantee name]’s statement of labour costs in support of its claim of eligible expenditure[; and performed limited assurance procedures on [Grantee name]’s statement of employee numbers under the grant agreement]. Management’s responsibility Management is responsible for: the preparation and fair presentation of the financial statement in accordance with the basis of accounting described in note 3.2, this includes determining that the cash basis of accounting is an acceptable basis for the preparation of the financial statement in accordance with the grant agreement; compliance with the terms of the grant agreement; the preparation of the statement of employee numbers and labour costs in support of eligible expenditure; and such internal control as management determines is necessary to: enable the preparation of the financial statement and the statement of [employee numbers and ]labour costs that are free from material misstatement, whether due to fraud or error; and enable compliance with the terms of the grant agreement. Auditor’s responsibility Our responsibilities are: To express an opinion, based on our audit, on: the financial statement; and [Grantee name]’s compliance, in all material respects, with the terms of the grant agreement; and To conclude based on: our review procedures, on the statement of labour costs; and our limited assurance procedures on the statement of employee numbers. We conducted our audit of the financial statement in accordance with Australian Auditing Standards; our audit of compliance with the grant agreement in accordance with ASAE 3100, our review of the statement of labour costs in accordance with ASRE 2405[; and our limited assurance procedures on employee numbers in accordance with ASAE 3000]. The applicable Standards require that we comply with relevant ethical requirements and plan and perform our work to: obtain reasonable assurance about whether the financial statement is free from material misstatement and that [Grantee name] has complied, in all material respects, with the terms of the grant agreement; and obtain limited assurance as to whether anything has come to our attention that causes us to believe that the statements of employee numbers and labour costs are materially misstated. An audit involves performing procedures to obtain audit evidence about the amounts and disclosures in the financial statement and about the Grantee’s compliance with the grant agreement. The procedures selected depend on the auditor’s judgement, including the assessment of the risks of material misstatement of the financial statement, whether due to fraud or error. In making those risk assessments, the auditor considers internal control relevant to the Grantee’s preparation and fair presentation of the financial statement, and to the Grantee’s compliance with the grant agreement, in order to design audit procedures that are appropriate in the circumstances, but not for the purpose of expressing an opinion on the effectiveness of the Grantee’s internal control. An audit also includes evaluating the appropriateness of accounting policies used by management, as well as evaluating the overall presentation of the financial statement.

  • METHODS OF CALCULATION 1. Bi-Weekly 158. An employee whose compensation is fixed on a bi-weekly basis shall be paid the bi-weekly salary for his/her position for work performed during the bi-weekly pay period. There shall be no compensation for time not worked unless such time off is authorized time off with pay.

  • Overtime Calculation For the purpose of overtime calculation only, approved or scheduled time off work will be considered the same as time worked.

  • Formula The formula referred to in paragraph 3.1 is as follows: = ∑�( + )●●●� where:

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