Abstract
In this note, the fallacy in the method given by Sharma and Swarup, in their paper on time minimising transportation problem, to determine the setS hkof all nonbasic cells which when introduced into the basis, either would eliminate a given basic cell (h, k) from the basis or reduce the amountx hkis pointed out.
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References
Bhatia H L, Kanti Swarup and Puri M C 1977Indian J. Pure Appl. Math. 8 920
Garfinkel R S and Rao M R 1971Nav. Res. Log. Q. 18 465
Hammer P L 1969Nav. Res. Log. Q. 16 345
Hammer P L 1971Nav. Res. Log. Q. 18 487
Ramakrishnan C S 1977Opsearch 14 207
Sharma J K and Kanti Swarup 1977Proc. Indian Acad. Sci. (Math. Sci.) A86 513
Szwarc W 1971Nav. Res. Log. Q. 18 473
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Seshan, C.R., Tikekar, V.G. On Sharma-Swarup algorithm for time minimising transportation problems. Proc. Indian Acad. Sci. (Math. Sci.) 89, 101–102 (1980). https://doi.org/10.1007/BF02837265
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DOI: https://doi.org/10.1007/BF02837265