this paper is focused on the tactical design of steel supply chain (ssc). a general mathematical model is proposed to integrate production and transportation planning in multi-commodity ssc. the main purpose is to prepare a countrywide production and distribution plan in an ssc with three layers consisting of iron ore mines as suppliers, steel companies as producers, and subsidiary steel compan...

In classical transport models, it is always assumed that parameters such as the distance from each supply node to each demand node or the cost of transferring goods from one node to another, as well as quantities such as supply and demand are definite and definite amounts. But in real matters, considering these assumptions is not logical. On the other hand, there may be a real problem in mathem...

This paper is to integrate among solid transportation problem, budget constraints and carbon emission with probable maximum profit. The range of air pollution climate change are effected by $${\text {CO}_2}$$ gas other greenhouse gases from myriad systems. Henceforth, our target minimize for pollution-free environment. Transportation system single objective hardly applicable the situation more ...

In this paper, a stochastic solid transportation problem (SSTP) is constructed where the demand of item at destinations are randomly distributed. Such SSTP formulated with profit maximization form containing selling revenue, cost and holding/shortage item. The proposed framed as nonlinear which optimized through Karush–Kuhn–Tucker (KKT) conditions Lagrangian function. primary model bifurcated i...

Abstract This article attempts to study cost minimizing multi-objective fractional solid transportation problem with fuzzy coefficients c ˜ i j k r {\tilde{c}}_{ijk}^{r} , supp...

In this paper, based on the concepts of credibility measure and expectation theory, we derive the expectation formulae for the three reductions of a type-2 trapezoidal fuzzy variable (T2TrFV), which are attained by adopting the critical value (CV) reduction methods. We minimize the total transportation cost and the total transportation time over a single layered distribution system consisting o...