One of the most challenging issues in multi-objective problems is finding Pareto optimal points. This paper describes an algorithm based on Benders Decomposition Algorithm (BDA) which tries to find Pareto solutions. For this aim, a multi-objective facility location allocation model is proposed. In this case, an integrated BDA and epsilon constraint method are proposed and it is shown that how P...

This paper considers a bi-objective mathematical model for locations of landfills, transfer stations and material recovery facilities (MRFs) in order to serve the entire regions and simultaneously identify the capacities of landfills. This is a mixed-integer programming (MIP) model, whose objectives are to minimize the total cost and pollution simultaneously. To validate the model, a numerical ...

The lack of proper management medical waste leads to environmental pollution and threatens the lives communities. Good means appropriate planning monitoring at all stages, including collection, separation, treatment, recycling, disposal which promotes a circular approach. This paper presents multi-item, multi-period, bi-objective mixed-integer linear programming economy transition model for con...

We investigate risk-averse stochastic optimization problems where riskaverse preferences are modeled with a stochastic order constraint. We propose augmented Lagrangian methods for the numerical solution of problems with multivariate and univariate stochastic order relations. The methods constructs finite-dimensional approximations of the optimization problem whose solutions converge to the sol...

Increasing emission concerns about greenhouse gases have led to an increasing tendency use renewable energy sources (RERs) in the power system. Nevertheless, probabilistic nature of RERs has enhanced require flexibility provision. Hence, it is necessary implement a flexibility-based generation maintenance scheduling. For this purpose, used index system order evaluate In studies, modeling and pr...

We present a novel constraint-partitioning approach for solving continuous nonlinear optimization based on augmented Lagrange method. In contrast to previous work, our approach is based on a new constraint partitioning theory and can handle global constraints. We employ a hyper-graph partitioning method to recognize the problem structure. We prove global convergence under assumptions that are m...

Many engineering systems are too complex to design as a single entity. Decomposition-based design optimization methods partition a system design problem into subproblems, and coordinate subproblem solutions toward an optimal system design. Recent work has addressed formal methods for determining an ideal system partition and coordination strategy, but coordination decisions have been limited to...

Murine monoclonal IgE interacts with B cells of BALB/c mouse spleen with greater efficiency in the presence of its specific antigen. Complexes of anti-DNP IgE and DNP-OVA not only resist elution from B lymphocytes by acid but have a substantially longer dissociation half-time when compared with monomeric IgE (440 vs. 8 min, respectively). Further, these IgE-antigen complexes induce Fc epsilon R...

Using the notion of “belongingness ($epsilon$)” and “quasi-coincidence (q)” of fuzzy points with fuzzy sets, we introduce the concept of an ($ alpha, beta$)- fuzzyHv-ideal of an Hv-ring, where , are any two of {$epsilon$, q,$epsilon$ $vee$ q, $epsilon$ $wedge$ q} with $ alpha$ $neq$ $epsilon$ $wedge$ q. Since the concept of ($epsilon$, $epsilon$ $vee$ q)-fuzzy Hv-ideals is an important and ...