Accession Number:

AD0481406

Title:

AN INVESTIGATION OF SOLUTIONS TO ALLOCATION PROBLEMS

Descriptive Note:

Master's thesis

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

• Clark, Bernard E.

Report Date:

1964-01-01

Pagination or Media Count:

53.0

Abstract:

This paper considers the allocation problem in general through the development of theorems giving necessary conditions for a given vector or function to be a solution. These conditions in many cases enable one to deduce the solution. The paper is presented in two parts. The first addresses the problem of maximizing a sum of n functions over an N-dimensional simplex. The second is concerned with the maximization of the Lebesgue integral of a functional over a class of integrable non-negative functions with common L1 norm.

Descriptors:

• *LOGISTICS
• *MANAGEMENT PLANNING AND CONTROL
• COST EFFECTIVENESS
• DECISION MAKING
• DIFFERENTIAL EQUATIONS
• GAME THEORY
• MEASURE THEORY
• NUMERICAL INTEGRATION
• OPERATIONS RESEARCH
• OPTIMIZATION
• SET THEORY
• WAR GAMES

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE