| Abstract: | Johnson 2] in 1954 solved the two machine flow shop problem by giving an argument for a sufficient condition of optimality and by stating an efficient algorithm which produces a solution via satisfaction of the sufficient condition. Moreover, Johnson solved two special cases of the corresponding three machine flow shop problem. Since that time, six other special cases have been solved, two contributed by Arthanari and Mukhopadhyay 1], two by Smith, Panwalkar, and Dudek 3], and two of a different nature by Szwarc 5]. This paper contributes an extension to one of the classes described by Szwarc. |
