Mathematical Programming and Financial Objectives for Scheduling Projects

By: Alf Kimms

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Hardcover | 30 June 2001

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Hardcover
204 Pages

Dimensions(cm)
23.39 x 15.6 x 1.27

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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.

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You Can Find This Book In

Non-Fiction Mathematics Optimisation Linear Programming Accounting & Finance Finance Computing & I.T.Computer Programming & Software Development Business & Management Management & Management Techniques Management of Specific Areas Production of Quality Control Management

Applied Mathematics Engineering & Technology Industrial Chemistry & Manufacturing Technologies Mechanical Engineering & Materials Production & Industrial Engineering Operational Research

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Paperback

Published: 23rd October 2012

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General Issues
Focus	p. 3
Problem Setting	p. 3
Synopsis	p. 5
Computational Studies	p. 6
Modeling Projects	p. 7
Graphical Representation	p. 7
Time Lags	p. 8
Single and Multiple Projects	p. 11
Hammock Activities	p. 12
Basic Notation	p. 13
The Net Present Value
Central Problem	p. 19
Introduction	p. 19
Model Formulations	p. 21
Literature Review	p. 22
Total Weighted Completion Time	p. 24
Resource-Constrained Scheduling	p. 29
Introduction	p. 29
Model Formulation	p. 30
Literature Review	p. 31
Network Decomposition	p. 35
Basic Idea	p. 35
Creating Chains	p. 35
Model Reformulation	p. 37
Column Generation	p. 39
Deriving the Subproblem	p. 40
Solving the Subproblem	p. 41
Relaxation of Resource Constraints	p. 43
Basic Idea	p. 43
Lagrangean Relaxation	p. 43
Lagrangean Heuristics	p. 46
Computational Studies	p. 51
Test-Bed	p. 51
Results	p. 54
Capital Budgeting
Capital Rationing	p. 65
Introduction	p. 65
Model Formulation	p. 66
Literature Review	p. 67
Project Selection	p. 67
Capital Budgeting	p. 70
Budget Elimination	p. 73
Basic Idea	p. 73
Benders' Decomposition	p. 74
Subproblem	p. 74
Master Problem	p. 76
Master Problem Decomposition	p. 77
Computational Studies	p. 81
Test-Bed	p. 81
Results	p. 82
Providing Resources
Resource Leveling	p. 89
Introduction	p. 89
Model Formulation	p. 90
Literature Review	p. 91
Optimization Guided Scheduling I	p. 93
Basic Idea	p. 93
Analytical Bounds	p. 93
Lagrangean Relaxation	p. 94
Optimization Guided Scheduling II	p. 99
Basic Idea	p. 99
Model Reformulation	p. 99
Column Generation	p. 100
Computational Studies	p. 103
Instances with 30 Activities	p. 103
Test-Bed	p. 103
Results	p. 104
Mohring's Instances	p. 110
Test-Bed	p. 110
Results	p. 111
Instances with 20 Activities	p. 114
Test-Bed	p. 114
Results	p. 114
Time-Cost Tradeoffs
Crashing	p. 119
Introduction	p. 119
Model Formulations	p. 122
Literature Review	p. 123
Preprocessing	p. 125
Mode Elimination	p. 125
Eliminating "short" modes	p. 125
Eliminating "long" modes	p. 126
Example	p. 127
Cuts	p. 129
Network Decomposition	p. 133
Basic Idea	p. 133
Creating Subnetworks	p. 134
Model Reformulation	p. 137
Column Generation	p. 139
Heuristic	p. 142
Construction Phase	p. 142
Improvement Phase	p. 143
Computational Studies	p. 145
Complexity Index	p. 145
Test-Bed	p. 151
Results	p. 153
Summary
Concluding Remarks	p. 165
Future Work	p. 169
Index	p. 185
Table of Contents provided by Syndetics. All Rights Reserved.

Mathematical Programming and Financial Objectives for Scheduling Projects

At a Glance

Hardcover

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You Can Find This Book In

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