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A new algorithm for linear programming that is easy to implement: Application to the transportation problem

Technical Report ·
OSTI ID:6757631

We propose a new algorithm for linear-programming and apply it to solve some transportation problems. We prove the convergence of the algorithm under reasonable sufficient conditions. The main motivation of this new linear-programming solver is its extreme simplicity and its parallel structure which allows for straightforward implementations on personal computers as well as on more sophisticated machines. We give in the Appendix a version of the algorithm programmed in C in less than 30 lines. We also comment in the Appendix on the relationship of our algorithm with some models of neural networks. 14 refs., 10 figs.

Research Organization:
Oak Ridge National Lab., TN (USA)
DOE Contract Number:
AC05-84OR21400
OSTI ID:
6757631
Report Number(s):
ORNL/TM-10929; CESAR-88/52; ON: DE89001330
Country of Publication:
United States
Language:
English