Optimization is an important tool in computational finance and business intelligence. Multiple criteria mathematical program(MCMP), which is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously, is one of the ways of utilizing optimization techniques. Due to the existence of multiple objectives, MCMPs are usually difficult t...

09:30 Tristan Cazenave, Marek Cornu, Daniel Vanderpooten A two-phase meta-heuristic applied to the Multi-objective Traveling Salesman Problem Recently, a number of hybrid meta-heuristics have been successfully applied on different problems like the MO Traveling Salesman Problem (TSP), the MO Multidimensional Knapsack Problem and the MO Flow-shop Scheduling Problem. We present a method providing...

Scalar-tensor theories of gravity are known to allow significant deviations from general relativity through various astrophysical phenomena. In this paper, we formulate a scalar-connection by setting up scalars and connection configurations instead metric. Since the matter sector is not straightforward conceive without metric, invoke cosmological fluids in terms their one-form velocity volume e...

Abstract We propose a new formulation of f ( R ) gravity, dubbed scalarized in which the Legendre transform is included as dynamical term. This leads to theory with second-order field equations that describes general relativity self-interacting scalar field, without requiring introduction conformal frames. demonstrate quadratic version gravity reduces massive and we explore its implications for...

In this paper, proper optimality concepts in vector optimization with variable ordering structures are introduced for the first time and characterization results via scalarizations are given. New type of scalarizing functionals are presented and their properties are discussed. The scalarization approach suggested in the paper does not require convexity and boundedness conditions.

In the presence of certain non-minimal couplings between a scalar field and Gauss-Bonnet curvature invariant, Kerr black holes can scalarize, as long they are spinning fast enough. This provides distinctive violation hypothesis, occurring only for some high spin range. this paper we assess if strong magnetic fields, that may exist in vicinity astrophysical holes, could facilitate effect, by bri...

It is interesting to note that most black holes are born very slowly rotating. We investigate scalarization of rotating in the Einstein-scalar-Chern-Simons (EsCS) theory. In slow rotation approximation, CS term takes a linear form parameter $a$ which determines tachyonic instability. The instability for represents onset spontaneous scalarization. shown unstable against spherically symmetric sca...

We consider vector optimization problems on Banach spaces without convexity assumptions. Under the assumption that the objective function is locally Lipschitz we derive Lagrangian necessary conditions on the basis of Mordukhovich subdifferential and the approximate subdifferential by Ioffe using a non-convex scalarization scheme. Finally, we apply the results for deriving necessary conditions f...