We consider a quantum fully packed loop model on the square lattice with frustration-free projector Hamiltonian and ring-exchange interactions acting plaquettes. A boundary is added to favour domain-wall conditions link ground state properties combinatorics six-vertex literature. discuss how term fractures Hilbert space into Krylov subspaces, we prove that ergodic within each subspace, leading ...

The design of closed-loop logistics (forward and reverse logistics) has attracted growing attention with the stringent pressures of customer expectations, environmental concerns and economic factors. This paper considers a multi-product, multi-period and multi-objective closed-loop logistics network model with regard to facility expansion as a facility location–allocation problem, which more cl...

In a global economy, an efficient supply chain as a main core competency empowers enterprises to provide products or services at the right time in the right quantity, at a low cost. This paper is to plan a single product, multi-echelon, multi-period closed loop supply chain for high-tech products (which have continuous price decrease). Ultimately, considering components rated to procurement, pr...

the development of optimization and mathematical models for closed loop supply chain (clsc) design has attracted considerable interest over the past decades. however, the uncertainties that are inherent in the network design and the complex interactions among various uncertain parameters are challenging the capabilities of the developed tools. the aim of this paper, therefore, is to propose a n...

steady state and dynamic fermentations of baker's yeast in molasses based media were analyzed in a laboratory scale bioreactor. sugar and biomass balances together with the monod biokinetics were used to develop the process model. parameters of the model were obtained using collected experimental data. model predicted open loop responses to step changes in feed concentration as well as dilution...

today, due to the direct and reverse logistics plays an important role in reducing the costs in supply chain. in this paper, in order to provide a closed-loop supply chain network including supply centers, production, distribution, collection, recycling and disposal of a used linear mixed integer programming. this paper to consider multi-period and multi-product in multi-level supply chain and ...