An aircraft-to-target assignment problem is formulated and shown to be a special case of the "Weighted distribution problem" (also called the "Generalized transportation problem") of linear programming. An algorithm by H. M. Markowitz for the solution of this "Special weighted distribution problem" is presented after the introduction of background material necessary for the development of the algorithm. The solution of a problem is included to illustrate the steps of the algorithm, which is then extended to solve a generalization that may be used when the original problem has no solution. A listing of the FORTRAN IV computer program for the extended algorithm is given in the appendix. 56 pp.
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 www.rand.org/about/principles.
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.