Research Reports from the Department of Operations

Document Type

Dissertation

Publication Date

9-1-1968

Abstract

The organizational problem of allocating resources to systems, components, and projects in an R&D network with interrelated elements is investigated. Four mathematical programming models are formulated and analyzed - two static and two dynamic. Essentially, the distinction between the models is based on the assumptions made concerning the nature of the network interrelationships and the form of the project cost-risk functions. Extensive use is made of concepts and developments in convex programming, integer linear programming and dynamic programming. Attention in each case is directed both towards a characterization of the optimal budgeting strategy and towards the construction of an algorithm for finding optimal solutions. Examples are included to illustrate methods and results.

Keywords

Operations research, Research and development projects, Resource allocation--Mathematical models, Systems engineering, Convex programming, Linear programming, Dynamic programming, Project management--Mathematical models, Mathematical optimization, Decision making--Mathematical models

Publication Title

Dissertation, Department of Operations, School of Management, Case Western Reserve University

Issue

Technical memorandum no. 109 ; Submitted in partial fulfillment of the requirements for the Degree of Doctor of Philosophy.

Rights

This work is in the public domain and may be freely downloaded for personal or academic use

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