Cost-Time Trade off Pairs for Fixed Charge Bicriterion Indefinite Quadratic Transportation Problem with Enhanced Flow

Abstract

The fixed charge transportation problem (FCTP) is an extension of the classical transportation problem in which a fixed cost (for example set up cost) arises in which each origin has a fixed cost coefficient independent of the amount transported in addition to the usual cost coefficients The Linear functions are the most useful and widely used in operational research. Also quadratic functions and quadratic problems are the least difficult to handle out of all nonlinear programming problems. A fair number of functional relationships occurring in the real world are truly quadratic. For example kinetic energy carried by a rocket or an atomic particle is proportional to the square of its velocity .in statistics, the variance of a given sample of observations is a quadratic function of the values that constitute the sample. So there are countless other non-linear relationships occurring in nature, capable of being approximated by quadratic functions. The fixed charge bi-criteria indefinite quadratic transportation problem with enhanced flow which is an extension of the fixed charge bi-criteria transportation problem has been studied in the present work. Thesis consists of three chapters. Chapter 1 is introductory in nature which includes the some variants of transportation problem and literature related to the topic. In chapter 2 a fixed charge bi-criteria indefinite quadratic transportation problem with enhanced flow (Khurana and Arora, 2011) has been reviewed. In chapter 3, the problem considered in chapter 2 has been modified in which the fixed cost called set up cost is incurred at every origin where the quantity is transported only and new trade off pairs has been obtained.