In this paper we survey recent work on the perspective reformulation approach that generates tight, tractable relaxations for convex mixed integer nonlinear programs (MINLP)s. This preprocessing technique is applicable to cases where the MINLP contains binary indicator variables that force continuous decision variables to take the value 0, or to belong to a convex set. We derive from first prin...

The detection of community structure is a widely recognised method of revealing the underlying properties of complex networks in biological, physical and social sciences. The simplest form of the community structure problem is the partitioning of unweighted and undirected networks into disjoint communities. However, module detection in weighted networks or communities with overlapping modules m...

This paper examines alternative models for the economic optimization of multicomponent distillation columns. Different column representations are modeled involving rigorous MINLP (Mixed Integer Nonlinear Programming) and GDP (General Disjunctive Programming) formulations. The different representations involve various ways of representing the choices for the number of trays and feed tray locatio...

This paper addresses the similarity assessment and the retrieval problems in Case-Based Reasoning for case bases consisting of traditional and generalized cases. Previous work focussed on similarity assessment for generalized cases with continuous domains. The similarity assessment problem was formulated as Nonlinear Programm (NLP), which is well known in mathematical optimization. In several r...

In this article, we investigate coordinated receding-horizon control of vehicle speed and transmission gearshift for energy-efficient operation automated battery electric vehicles (BEVs). The introduction multispeed transmissions in BEVs enables manipulation motor operating point under given acceleration command, thus creating the opportunity to further improve BEV energy efficiency. However, c...

This paper presents a flexible HEN (heat exchanger network) synthesis methodology for designing multiperiod with streams involving phase changes. The is based on an MINLP (mixed integer nonlinear programming) model, identification of critical points, and flexibility index analysis considering A nominal topology constructed in the first step. Then each process operating condition’s points are ca...

This study extends a mathematical model that integrates the location, allocation, inventory replenishment and routing decisions simultaneously. To cope with inherent uncertainty of parameters, we implement a continuous-time Markov process and derive the performance measures of the system. Using the obtained results, the problem is formulated as a mixed integer nonlinear programing model (MINLP)...

For the problems brought by malicious interference in unmanned aerial vehicle (UAV) swarm network, we establish a cluster-based UAV information transmission model. We mainly consider four aspects: cluster head selection, channel allocation, power allocation and position. In order to improve backhaul rate of swarm, propose joint optimization method spectrum resource with goal maximizing sum thro...

The safety and reliability of an electrical network depend on the performance protections utilized. Therefore, optimal coordination protective devices plays essential role. In this paper, a new algorithm, Equilibrium Optimizer (EO), which is based physical equation mass balance, implemented in problem Optimal Coordination Directional Overcurrent Relays (DOCRs). Moreover, proposed method uses Li...