Optimization Techniques
... The values inside the node show the value of state variable at each stage ...
... The values inside the node show the value of state variable at each stage ...
An Integer Programming Model for the School - LAC
... instance with just one additional teacher being even greater than the time required to solve the instance original form, indicates there are other factors to consider analyzing performance. The coefficient aij formulation and problem characteristics may induce the same objective function value for d ...
... instance with just one additional teacher being even greater than the time required to solve the instance original form, indicates there are other factors to consider analyzing performance. The coefficient aij formulation and problem characteristics may induce the same objective function value for d ...
An Evolutionary Algorithm for Integer Programming
... where ZZ denotes the set of integers. Note that the feasible region M is not required to be bounded. Consequently, the encoding of the integer search space with xed length binary strings as used in standard genetic algorithms (GA) 7, 6] is not feasible. The approach to use an evolution strategy (E ...
... where ZZ denotes the set of integers. Note that the feasible region M is not required to be bounded. Consequently, the encoding of the integer search space with xed length binary strings as used in standard genetic algorithms (GA) 7, 6] is not feasible. The approach to use an evolution strategy (E ...
Pseudospectral Collocation Methods for Fourth Order Di
... Spectral methods are characterized by the representation of the solution to a di erential equation in terms of a truncated series of smooth global functions which are known as trial or basis functions. The basis functions are usually chosen to be the eigenfunctions of a singular Sturm-Liouville prob ...
... Spectral methods are characterized by the representation of the solution to a di erential equation in terms of a truncated series of smooth global functions which are known as trial or basis functions. The basis functions are usually chosen to be the eigenfunctions of a singular Sturm-Liouville prob ...
MULTICAST RECIPIENT MAXIMIZATION PROBLEM IN 802 16
... Next, we fix the value of N, and at 100 and Next, we fix the value of N, and at 100 and 500,000 respectively, and tune the number of RSs (i.e., Y) from 0 to 5 to observe the impact of RS density on performance. RS d i f ...
... Next, we fix the value of N, and at 100 and Next, we fix the value of N, and at 100 and 500,000 respectively, and tune the number of RSs (i.e., Y) from 0 to 5 to observe the impact of RS density on performance. RS d i f ...
A New Branch of Mountain Pass Solutions for the Choreographical 3
... Definition 3. Let x0 ∈ Crit( f ) be a critical point of f . We define the Morse Index of x0 (if it exists) as the maximal positive integer m such that the Hessian of f at x0 is negative definite on a m-dimensional subspace of X . Definition 4. A sequence (xm )m ⊂ is called a Palais-Smale sequence ...
... Definition 3. Let x0 ∈ Crit( f ) be a critical point of f . We define the Morse Index of x0 (if it exists) as the maximal positive integer m such that the Hessian of f at x0 is negative definite on a m-dimensional subspace of X . Definition 4. A sequence (xm )m ⊂ is called a Palais-Smale sequence ...
A Mathematical Model for Enzyme Kinetics
... perturbation method of multiple timescales gives a very accurate approximation to the solution of our model when the general assumption that the initial concentration of enzyme is much smaller than the initial concentration of substrate. ...
... perturbation method of multiple timescales gives a very accurate approximation to the solution of our model when the general assumption that the initial concentration of enzyme is much smaller than the initial concentration of substrate. ...
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.