The well known chemical equilibrium problem is expressed in the form of minimizing the free energy of a mixture in order to compute the chemical composition at equilibrium. By piece-wise linear approximations to the free energy function, the problem becomes a linear program which can be solved...

The paper is concerned with the optimum routing of a fleet of gasoline delivery trucks between a bulk terminal and a large number of service stations supplied by the terminal. The shortest routes between any two points in the system are given and a demand for one or several products is specified...

The purpose of this paper is to illustrate an application of linear programming to the problem of allocation of aircraft to routes in order to maximize expected profits when there is uncertain customer demand. The approach is intuitive; the theoretical basis of this work is found in an earlier...

The essential character of the general models under consideration is that activities are divided into two or more stages. The quantities of activities in the first stage are the only ones that are required to be determined; those in the second (or later) stages can not be determined in advance...

As interest grows rapidly in industry on the potentialities of mathematical programming techniques, it appears worthwhile to have a paper devoted to some of the more promising developments which may speed up the transition from interest to use. Three topics have been selected (in three sections...

The chief feature of the method is that it fans out from the origin working out the shortest path to one new node from the origin and never having to backtrack. No more than n(n-1)/2 comparisons are needed to find the shortest route from a given origin to all other nodes and possibly less...

Author's correction of Dantzig, G. B. 1960. On the shortest route through a network. Management Sci. 6 (2) 187-190.

In the first part special cases are presented. Typical of the multistage problems are those encountered in dynamic problems. If the time span is divided into periods, the initial inventory provides the input for activities that occur in the first period or first stage. The output from the first...

Operations Research or Management Science, two names for the same thing, refers to the science of decision and its application. In its broad sense, the word "cybernetics," the science of control, may be used in its place. This science is directed towards those tasks that humans have not yet...

This paper makes use of a device proposed by Fulkerson and Ford for maximal multi-commodity network flows (Ford, L. R. Jr., D. R. Fulkerson. 1958. A suggested computation for maximal multi-commodity network flows. The RAND Corporation, Paper P-1114, March 27, 1958. Also Management Sci. 5(1)...