Efficiency in Integral Facility Design Problems.
Abstract
An example of a design might be a warehouse floor, represented by a set S, of area A, but unspecified shape. Given m warehouse users, suppose user i has a known disutility function fi such that Hi(S), the integral of fi over the set S (for example, a total travel distance), defines the disutility of the design S to user i. For vector H(S) with entries Hi(S), we study the vector minimization problem over the set (H(S): S a design), and call a design efficient if and only if it solves this problem. Assuming a mild regularity condition, we give necessary and sufficient conditions for a design to be efficient, as well as verifiable conditions for the regularity condition to hold.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1978
- Accession Number
- ADA060092
Entities
People
- James F. Lawrence
- Luc G. Chalmet
- Richard L. Francis
Organizations
- University of Florida