International Business Machines Corporation

Ofer Shir

David Amid

Ateret Anaby-Tavor

David Boaz

Shahar Chen

Oded Margalit

Peter Bak

Segev Eliezer Wasserkrug

Yossi Shiloach

Dmitry Moor

Eitan Israeli

Lena Granovsky

A method of selecting a group from a plurality of multi objective designs which comply with a plurality of objectives. The method comprises providing a plurality of multi objective designs, each the multi objective design having a plurality of multi objective design objective values which comply with at least one constraint of a Pareto Frontier of an objective space of a plurality of objectives, selecting a group from the plurality of multi objective designs, each member of the group is selected according to a match between at least one objective of respective the plurality of objectives and at least one of a respective gain threshold and a respective loss threshold, and outputting the group.

Multi objective design selection

A method, apparatus and product for automated multi-objective solution selection. The method comprises obtaining a set of solutions to a multi-objective problem, wherein each solution is a non-dominated solution. The method further comprises computing outranking weights for each pair of solutions and selecting a subset of the set of solutions based upon a defensive criteria in with respect to the outranking weights, wherein the defensive criteria relates to a number of solutions that outrank the subset. The method further comprises outputting the subset of the set of solutions.

Automated multi-objective solution selection

A method comprising using at least one hardware processor for: receiving a multi-objective optimization problem; projecting a Pareto frontier of candidate solutions for said multi-objective optimization problem to a hyperplane; decomposing said hyperplane into multiple Voronoi regions each associated with a candidate solution of said candidate solutions; determining a robustness degree for each candidate solution of said candidate solutions, by computing a hypervolume for each region of said multiple Voronoi regions; and ranking said candidate solutions based on the robustness degree.

Objective weighing and ranking

A method of visualizing a plurality of designs which comply with a plurality of objectives. The method comprises acquiring a plurality of designs each represented by sequential multivariate data indicative of a compliance with a plurality of objectives, generating an objective anchored based self-organizing map (SOM) having a plurality of objective anchors and maps the plurality of designs in an objective space, and outputting the objective anchored based SOM. Each objective anchor is associated with one of the plurality of objectives, each the design is visualized in the objective anchored based SOM by an indicator which the distance thereof from each the objective anchors is indicative of a compliance thereof with a respective the associated objective in relation to other of the plurality of objectives.

Self organizing maps for visualizing an objective space

Systems and methods for detecting leaks in a fluid distribution network are provided. In one embodiment, the method includes calculating value of non-revenue fluid. Further, the method includes receiving data corresponding to pressure from pressure sensors in the fluid distribution network and receiving data corresponding to flow from flow sensors in the fluid distribution network. Furthermore, the method includes estimating pressure values at the pressure sensors and estimating flow values at the flow sensors. The received data and estimated values of respective sensors for corresponding time periods are compared. Existence of leak in the fluid distribution network is detected if the value of non-revenue fluid is non-zero. One or more leak spots are located, if a leak is detected, by solving an optimization problem.

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Jerusalem, Israel

Ofer Shir