The sum of a linear and linear fractional transportation problem with restricted and enhanced flow
by
Archana Khurana
Research Scholar, Department of Mathematics, University of Delhi, Delhi, INDIA.
Coauthors: S.R. Arora (Hans Raj College, University of Delhi, Delhi, INDIA)

In this paper a transportation problem, in which the objective function is the sum of the linear and linear fractional function, is considered. In section I of the paper an algorithm to solve a linear plus linear fractional transportation problem is discussed. Section 2 deals with the case when one wishes to keep reserve stocks at the sources for emergencies, thereby restricting the total flow to a known specified level. So linear plus linear fractional transportation problem with restricted flow is studied in this section. In section 3 we have discussed the situations when, because of the extra demand in the market, the total flow needs to be enhanced compelling some of the factories to increase their production in order to meet this extra demand. Thus linear plus linear fractional transportation problem with enhanced flow is discussed in this section. A related linear plus linear fractional transportation problem is formulated in section 2 and 3. It is shown that the solution so obtained is a local minima occurring at an extreme point of the feasible set. Numerical example is given to illustrate the procedure in section 4.

Date received: August 7, 2003