Abstract We investigate the generalized red refinement for n -dimensional simplices that dates back to Freudenthal (Ann Math 43(3):580–582, 1942) in a mixed-integer nonlinear program ( $${\textsc {MINLP}}$$ MINLP ) context. show meets sufficient convergence conditions known solution framework is essentially b...

Simultaneous synthesis and design of reaction–separation–recycle processes using rigorous models is highly desirable to improve process efficiency. However, it often leads a large-scale challenging optimization problem. In this work, we propose computationally efficient framework for the The reactor separator networks are modeled generalized disjunctive programming, which reformulated into nonc...

Abstract The combination pressurization of the shale gas gathering system is one most common methods in current engineering site, but it mostly set by manual experience or simulation analysis, and thus optimal scheme cannot be obtained. In order to optimize mode transportation system, a mixed integer nonlinear programming model (MINLP) established based on existing field. takes minimum total co...

â liquefied natural gas (lng) is the most economical way of transporting natural gas (ng) over long distances. liquefaction of ng by using vapor compression refrigeration system requires high operating and capital cost. due to lack of systematic design methods for multistage refrigeration cycles, the conventional approaches of determining optimal cycle configuration are mostly based on trial-an...

Numerous industrial problems can be modelled as MINLP problems combining both numeric and integer variables. Several methods were proposed to solve these problems. But industrial applications need more than solving problems: dynamic problems, over-constrained problems, or explaining solver behaviour are features required by industrial applications. Explanation-based constraint programming offer...

Abstract We propose a new decomposition method to solve multistage non-convex mixed-integer (stochastic) nonlinear programming problems (MINLPs). call this algorithm nested Benders (NC-NBD). NC-NBD is based on solving dynamically improved linear outer approximations of the MINLP, obtained by piecewise relaxations functions. Those MILPs are solved global optimality using an enhancement decomposi...

Mixed-integer polynomial programming (MIPP) problems are one class of mixed-integer nonlinear programming (MINLP) problems where objective function and constraints are restricted to the polynomial functions. Although the MINLP problem is NP-hard, in special cases such as MIPP problems, an efficient algorithm can be extended to solve it. In this research, we propose an algorit...

Recently, cogeneration systems (CGS) have been installed in various factories and buildings. CGS is usually connected to various facilities such as refrigerators, reservoirs, and cooling towers, and produces various energies for electric loads, air-conditioning loads, heating loads, and hot water loads (fig.1). Since daily load patterns of the various loads are different, optimal operational pl...

The increase in the use of electrical and electronic devices worldwide has created a rapid growth waste equipment (WEEE). current paper presents an optimization-based simulation (OBS) approach that allows design sustainable WEEE management system policies. proposed OBS integrates dynamics (SD) model mixed-integer nonlinear programming (MINLP) to improve representation performance processes cons...