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The simplex algorithm for network flow problems has been proposed for linear, piecewise linear, and linear fractional objective functions. Piecewise linear fractional network flow problems can be transformed into equivalent linear or linear fractional programs, but the resulting problems do not possess pure network flow structure and increase the number of variables significantly. We develop a simplex...
Generalizations of the well-known simplex method for linear programming are available to solve the piecewise linear programming problem and the linear fractional programming problem. In this paper we consider a further generalization of the simplex method to solve piecewise linear fractional programming problems unifying the simplex method for linear programs, piecewise linear programs, and the linear...
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