Multi-objective solid transportation problem in imprecise environments

Abstract

In this paper, a multi-objective solid transportation problem (MSTP) for damageable item is formulated and solved. Here, transportation costs, resources, demands and capacities of conveyances are random fuzzy in nature. The transported item is likely to be damaged during transportation and damageability are different for different conveyances along different roots. The STP is formulated as a decision making model optimizing possibilistic value at risk (pVaR) by incorporating the concept of value at risk (VaR) into possibility and necessity measure theory. The reduced deterministic constrained problem is solved using generalized reduced gradient(GRG) method (LINGO-10). The model is illustrated with numerical examples and some sensitivity analysis is made on damageability.