This work studies linear transmit filter design to maximize weighted sum-rate for the Multiple Input Multiple Output Broadcast Channel (MIMO-BC). In a recent result, it was shown that the derivative of mutual-information is equal to the Minimum Mean Square Error (MMSE) for the single-user case. This paper derives a relation between weighted sum-rate and weighted sum-MMSE for the MIMO-BC by exte...

this paper presents a new mathematical model for a hybrid flow shop scheduling problem with multiprocessor tasks in which sequence dependent set up times and preemption are considered. the objective is to minimize the weighted sum of makespan and maximum tardiness. three meta-heuristic methods based on genetic algorithm (ga), imperialist competitive algorithm (ica) and a hybrid approach of ga a...

Eco-efficiency is generally defined as the ratio of an economic and environmental variable. This interpretation also cited in connection to its most popular implementation, known “BASF eco-efficiency portfolio analysis”. There is, however, something strange about this. A easily visualized a slope, but BASF’s method working with distance, which can be formulated weighted sum, not ratio. Upon clo...

Multi-attribute auctions (also called multidimensional auctions) facilitate negotiations based on multiple attributes, thus escape from the standard price-only domain into a rich multidimensional domain that can comprise additional attributes like e.g. guarantee conditions or quality. Most multi-attribute preference models used in auction mechanisms are based on a ranking derived from weighted ...