Finding Minimal Cost-Time Ratio Circuits.

by Bennett L. Fox


Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback17 pages $20.00 $16.00 20% Web Discount

An efficient method is given for finding minimal cost-time ratio circuits in routing problems through the use of the out-of-kilter algorithm. The problem of finding a cycle in a network having a minimal cost-to-time ratio has been considered previously, and column generators have been used to introduce, into the basis of the master problem, the solution that corresponds to this cycle. The subproblem is of independent interest and corresponds to deterministic single chain Markov renewal programming. The main difference between earlier approaches and the present one is that where others have used a shortest path method corresponding to the simplex method (except that steepest descent is not used), here the flow circulation problem for optimal cost-time tradeoff is solved parametrically by the out-of-kilter algorithm. 17 pp. Ref

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

Our mission to help improve policy and decisionmaking through research and analysis is enabled through our core values of quality and objectivity and our unwavering commitment to the highest level of integrity and ethical behavior. To help ensure our research and analysis are rigorous, objective, and nonpartisan, we subject our research publications to a robust and exacting quality-assurance process; avoid both the appearance and reality of financial and other conflicts of interest through staff training, project screening, and a policy of mandatory disclosure; and pursue transparency in our research engagements through our commitment to the open publication of our research findings and recommendations, disclosure of the source of funding of published research, and policies to ensure intellectual independence. For more information, visit

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.