The bottleneck transportation problem
Authors:
- 1 December 1971
- journal article
- research article
- Published by Wiley in Naval Research Logistics Quarterly
- Vol. 18 (4) , 465-472
Abstract
The bottleneck transportation problem can be stated as follows: A set of supplies and a set of demands are specified such that the total supply is equal to the total demand. There is a transportation time associated between each supply point and each demand point. It is required to find a feasible distribution (of the supplies) which minimizes the maximum transportaton time associated between a supply point and a demand point such that the distribution between the two points is positive. In addition, one may wish to find from among all optimal solutions to the bottleneck transportation problem, a solution which minimizes the total distribution that requires the maximum timeTwo algorithms are given for solving the above problems. One of them is a primal approach in the sense that improving fcasible solutions are obtained at each iteration. The other is a “threshold” algorithm which is found to be far superior computationally.Keywords
This publication has 5 references indexed in Scilit:
- Technical Note—An Improved Algorithm for the Bottleneck Assignment ProblemOperations Research, 1971
- Some remarks on the time transportation problemNaval Research Logistics Quarterly, 1971
- Time‐minimizing transportation problemsNaval Research Logistics Quarterly, 1969
- Flows in Networks1963
- An Out-of-Kilter Method for Minimal-Cost Flow ProblemsJournal of the Society for Industrial and Applied Mathematics, 1961