A method for the solution of transportation problems with tall matrices

_J the activity and node tables will be constructed as shown in Figure 8. The forward scan begins wil,h node 1 placed in the Z-list; however, when the successor of node 1 is processed, and nod(, ] is deleted from the Z-list, the Z-list becomes empty. A~ ~his point the loop identification routine, described above, is invoked. A search of the node table places node 2 in the L-list. During succeeding cycles, the L-list grows as follows:

[1]  James E. Kelley,et al.  Critical-Path Planning and Scheduling: Mathematical Basis , 1961 .

[2]  S. Lambourn,et al.  Resource allocation and multi-project scheduling (RAMPS) - a new tool in planning and control , 1963, Computer/law journal.

[3]  Paul S. Dwyer Use of completely reduced matrices in solving transportation problems with fixed charges , 1966 .

[4]  Abraham Charnes,et al.  The Stepping Stone Method of Explaining Linear Programming Calculations in Transportation Problems , 1954 .

[5]  Heiner Mueller-Merbach,et al.  An Improved Starting Algorithm for the Ford-Fulkerson Approach to the Transportation Problem , 1966 .

[6]  P. S. Dwyer The Direct Solution of the Transportation Problem with Reduced Matrices , 1966 .

[7]  P. Hall On Representatives of Subsets , 1935 .

[8]  D. F. Votaw Methods of solving some personnel-classification problems , 1952 .

[9]  George B. Dantzig,et al.  Linear programming and extensions , 1965 .

[10]  Jack Moshman,et al.  RAMPS: a technique for resource allocation and multi-project scheduling , 1899, AFIPS Spring Joint Computing Conference.

[11]  H. E. Vaughan,et al.  The Marriage Problem , 1950 .

[12]  James P. Fourre Critical path scheduling : a practical appraisal of PERT , 1968 .

[13]  D. R. Fulkerson,et al.  Flows in Networks. , 1964 .

[14]  Jack B. Dennis,et al.  A High-Speed Computer Technique for the Transportation Problem , 1958, JACM.

[15]  Paul S. Dwyer,et al.  The Method of Reduced Matrices for a General Transportation Problem , 1957, JACM.

[16]  D. Malcolm,et al.  Application of a Technique for Research and Development Program Evaluation , 1959 .

[17]  T. E. Easterfield A Combinatorial Algorithm , 1946 .