This supplement is organized as follows: • Section 1 clarifies assumptions (main paper, Section 4, first paragraph). • Section 2 describes the plane principal method used for normal smoothing (main paper, Section 4.1, first paragraph). • Section 3 pertains to the optimization program and includes a simulation (main paper, Section 4.2.2). • Section 4 shows a qualitative comparison to a multi-str...

This paper deals with the optimization of a cantilever beam submitted to its own weight. In a first approach, we consider that the beam section can be equal to two values and we are looking for the section changing location, which minimizes the deflection. We propose an analytical model with an experimental validation that will allow us to optimize the shape of the beam. Then, we develop a nume...

Abstract: Bi-level programming, a tool for modeling decentralized decisions, consists of the objective(s) of the leader at its first level and that is of the follower at the second level. Three level programming results when second level is itself a bi-level programming. By extending this idea it is possible to define multi-level programs with any number of levels. Supply chain planning problem...

In this paper, a non-dominated sorting based multi objective EA (MOEA), called Elitist non dominated sorting genetic algorithm (Elitist NSGA) has been presented for solving the fault section estimation problem in automated distribution systems, which alleviates the difficulties associated with conventional techniques of fault section estimation. Due to the presence of various conflicting object...

An optimization spiking neural P system (OSNPS) provides a novel way to directly use a P system to solve optimization problems. This paper discusses the practical application of OSNPS for the first time and uses it to solve the power system fault section estimation problem formulated by an optimization problem. When the status information of protective relays and circuit breakers read from a su...

Quantitative optimization techniques have proven to be a powerful tool in tackling complicated decision-making problems in various application domains. Scheduling workforces, pricing airline tickets, managing production systems and designing engineering projects are just a small sample of the myriad industrial applications that have benefited from optimization techniques such as linear, nonline...