Generalised Integer Programming Based on Logically Defined
... Let V be a set of variables. For x ∈ V and a ∈ D, the inequalities x ≥ a and x ≤ a are called positive and negative literals, respectively. A clause is a disjunction of literals. A clausal pattern is a multiset of the form P = (+a1 , . . . , +ap , −b1 , . . . , −bq ) where p, q ∈ N and ai , bi ∈ D f ...
... Let V be a set of variables. For x ∈ V and a ∈ D, the inequalities x ≥ a and x ≤ a are called positive and negative literals, respectively. A clause is a disjunction of literals. A clausal pattern is a multiset of the form P = (+a1 , . . . , +ap , −b1 , . . . , −bq ) where p, q ∈ N and ai , bi ∈ D f ...
Optimizing the F-Measure in Multi-Label Classification
... The decomposition of the original problem into independent multinomial regression tasks has computational advantages. Moreover, since the number of distinct values of sy is usually small, the number of classes in a single multinomial regression task is much smaller than m + 1; only in the worst case ...
... The decomposition of the original problem into independent multinomial regression tasks has computational advantages. Moreover, since the number of distinct values of sy is usually small, the number of classes in a single multinomial regression task is much smaller than m + 1; only in the worst case ...
Remarks on Numerical Experiments of the Allen
... License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We consider a one-dimensional Allen-Cahn equation with constraint from the viewpoint of numerical analysis. The constraint is provided by the subdifferential of the in ...
... License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We consider a one-dimensional Allen-Cahn equation with constraint from the viewpoint of numerical analysis. The constraint is provided by the subdifferential of the in ...
DSS Chapter 1
... Understand the basic concepts of management support system (MSS) modeling Describe how MSS models interact with data and the users Understand the well-known model classes and decision making with a few alternatives Describe how spreadsheets can be used for MSS modeling and solution Explain the basic ...
... Understand the basic concepts of management support system (MSS) modeling Describe how MSS models interact with data and the users Understand the well-known model classes and decision making with a few alternatives Describe how spreadsheets can be used for MSS modeling and solution Explain the basic ...
A Survey of Partially Observable Markov Decision Processes
... stochastic multi-period inventory problem with setup costs yields (s, S)-type optimal ordering policies [28]. In perfectly observable machine replacement problems conditions on the one-period transition matrix, equivalent to first-order stochastic dominance, translates into repair policies that are ...
... stochastic multi-period inventory problem with setup costs yields (s, S)-type optimal ordering policies [28]. In perfectly observable machine replacement problems conditions on the one-period transition matrix, equivalent to first-order stochastic dominance, translates into repair policies that are ...
Round Robin Scheduling - A Survey
... required that the two games between every pair of opponents occur in opposite venues. Such a schedule is forced to be balanced. For multi round-robin schedules, a common requirement is that the schedule is both balanced and that for every pair of teams, the the deviation between venues of games for ...
... required that the two games between every pair of opponents occur in opposite venues. Such a schedule is forced to be balanced. For multi round-robin schedules, a common requirement is that the schedule is both balanced and that for every pair of teams, the the deviation between venues of games for ...
slides
... Assuming that some F-adapted asset is traded (as well as a savings account with null interest rate, so that the associated market is complete and arbitrage free), it is easy to check that the martingale N is the value of a self-financing portfolio with initial value 1, admissible, such that Nτ > 1, ...
... Assuming that some F-adapted asset is traded (as well as a savings account with null interest rate, so that the associated market is complete and arbitrage free), it is easy to check that the martingale N is the value of a self-financing portfolio with initial value 1, admissible, such that Nτ > 1, ...
Microeconomics II Lecture 3 Constrained Envelope Theorem
... or, more interestingly, with respect to m gives: L X i=1 ...
... or, more interestingly, with respect to m gives: L X i=1 ...
The theory of optimal stopping
... Solution of the Secretary Problem Consider n objects indexed by 1,2, ••• ,n permutated randomly ...
... Solution of the Secretary Problem Consider n objects indexed by 1,2, ••• ,n permutated randomly ...
Multiple-criteria decision analysis
Multiple-criteria decision-making or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria that need to be evaluated in making decisions. Cost or price is usually one of the main criteria. Some measure of quality is typically another criterion that is in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider. It is unusual that the cheapest car is the most comfortable and the safest one. In portfolio management, we are interested in getting high returns but at the same time reducing our risks. Again, the stocks that have the potential of bringing high returns typically also carry high risks of losing money. In a service industry, customer satisfaction and the cost of providing service are two conflicting criteria that would be useful to consider.In our daily lives, we usually weigh multiple criteria implicitly and we may be comfortable with the consequences of such decisions that are made based on only intuition. On the other hand, when stakes are high, it is important to properly structure the problem and explicitly evaluate multiple criteria. In making the decision of whether to build a nuclear power plant or not, and where to build it, there are not only very complex issues involving multiple criteria, but there are also multiple parties who are deeply affected from the consequences.Structuring complex problems well and considering multiple criteria explicitly leads to more informed and better decisions. There have been important advances in this field since the start of the modern multiple-criteria decision-making discipline in the early 1960s. A variety of approaches and methods, many implemented by specialized decision-making software, have been developed for their application in an array of disciplines, ranging from politics and business to the environment and energy.