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Mathematical Programming and Financial Objectives for Scheduling Projects

Author : Alf Kimms
Publisher : Springer Science & Business Media
Page : 183 pages
File Size : 28,13 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461514533

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Mathematical Programming and Financial Objectives for Scheduling Projects focuses on decision problems where the performance is measured in terms of money. As the title suggests, special attention is paid to financial objectives and the relationship of financial objectives to project schedules and scheduling. In addition, how schedules relate to other decisions is treated in detail. The book demonstrates that scheduling must be combined with project selection and financing, and that scheduling helps to give an answer to the planning issue of the amount of resources required for a project. The author makes clear the relevance of scheduling to cutting budget costs. The book is divided into six parts. The first part gives a brief introduction to project management. Part two examines scheduling projects in order to maximize their net present value. Part three considers capital rationing. Many decisions on selecting or rejecting a project cannot be made in isolation and multiple projects must be taken fully into account. Since the requests for capital resources depend on the schedules of the projects, scheduling taken on more complexity. Part four studies the resource usage of a project in greater detail. Part five discusses cases where the processing time of an activity is a decision to be made. Part six summarizes the main results that have been accomplished.

Mathematical Programming and Capital Budgeting Under Risk

Author : Alvin K. Klevorick
Publisher :
Page : 23 pages
File Size : 12,39 MB
Release : 1966
Category : Capital investments
ISBN :

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The research discussed in this paper and the work of which it forms a part consitute another exception to the general stream of capital-budgeting literature. The larger work is concerned first with decision-making under risk when the decisions and the risks extend over more than one period of time. Then capital-budgeting under risk is studied as a particular example of such decision-making. This paper limits its concern to a discussion of a particular type of capital-budgeting problem when risk exists. (Author).

Optimization Methods in Logic Programming Applied to Expert Systems for Capital Budgeting

Author : Hastings Kyale Muli
Publisher :
Page : 0 pages
File Size : 19,11 MB
Release : 1992
Category :
ISBN :

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This thesis evaluates the benefit of meshing mathematical programming and expert systems for solving capital budgeting problems, using constraint logic programming methods. A review of modelling capabilities of mathematical programs for capital budgeting, and of financial expert systems leads to defining the respective role and potential of each method, and to the proposal of a two-tiered project selection approach: project evaluation and resource allocation. With emphasis placed on a tight coupling of the two tiers, logic programming is shown to be a language of choice to implement mathematical programming within an expert system shell. Prolog has the requisite properties to deal with both logical considerations and optimization problems. Although Prolog was not primarily designed to solve optimization problems, it is shown that the backtracking mechanism of the Prolog language is powerful enough for that purpose; it liberates the programmer from having to implement tree-search programs. A generate and test program is written in Turbo-Prolog, and compared to a more sophisticated test and generate implementation that uses methods of constraint satisfaction programming. Continuous capital budgeting problems are solved in CLP(${\cal R}$), an experimental extension of Prolog that enables the solution of simultaneous algebraic constraints, as required to solve linear programs.