The capacitated arc routing problem (CARP) is one of the most important routing problems with many applications in real world situations. In some real applications such as urban waste collection and etc., decision makers have to consider more than one objective and investigate the problem under uncertain situations where required edges have demand for more than one type of commodity. So, in thi...

this paper proposes a new mathematical model for the integrated procurement-production-distribution problem of a fuzzy mixed integer linear programming (fmilp) type. considering the uncertainty in real problems, a number of parameters such as demand, capacity, and cost where their values are not available or known precisely, have been considered as trapezoidal fuzzy numbers. to solve fuzzy mixe...

this paper considers the fuzzy inventory model for deteriorating items for power demand under fully backlogged conditions. we define various factors which are affecting the inventory cost by using the shortage costs. an intention of this paper is to study the inventory modelling through fuzzy environment. inventory parameters, such as holding cost, shortage cost, purchasing cost and deteriorati...