The Fixed Charge Transportation Problem (FCTP) is a generalization of the well-known Transportation Problem, where the cost for sending goods from origins to destinations is composed of a fixed cost and a continuous cost proportional to the amount of goods sent. In practical applications, the fixed costs may represent toll charges on highways, landing fees at airports, setup costs in production...

—Competitive global markets oblige the firms to reduce their overall costs while maintaining the same customer service level and this can be achieved just through a precise and efficient management of their supply chain network. The Fixed Charge Transportation Problem (FCTP) which is a more comprehensive type of Transportation Problem (TP) has several applications from different aspects in this...

The single-sink fixed-charge transportation problem (SSFCTP) consists in finding a minimum cost flow from a number of nodes to a single sink. Beside a cost proportional to the amount shipped, the flow cost encompass a fixed charge. The SSFCTP is an important subproblem of the well-known fixed-charge transportation problem. Nevertheless, just a few methods for solving this problem have been prop...

This paper is about improving the performance of genetic algorithm (GA) to solve fixed-charge transportation problem (FCTP). Several approaches have been developed, based on adaptation and improvement operators. We propose a new adopting an immigration strategy maintain diversity in population then overcome stagnation values objective function. Thereby, we applied two types immigration, random ...

The bi-criteria fixed charge transportation problem is an extension of the classical transportation problem. The bi-criteria fixed charge transportation problem in a crisp environment is, often, not effective in dealing with imprecision or vagueness in the values of the problem parameters. To deal with such situations, it has been proposed that the parameters should be represented as fuzzy numb...

Fixed charge solid transportation problems are formulated as profit maximization problems under a budget constraint at each destination. Here item is purchased in different depots at different prices. Accordingly the item is transported to different destinations from different depots using different vehicles. Unitsare sold from different destinations to the customers at different selling prices...