Stochastic dominance-constrained Markov decision processes
... expected performance, we would prefer the one with smaller variation in some sense. Consider a discounted portfolio optimization problem, for example. The expected discounted reward of an investment policy is a key performance measure; the downside variation of an investment policy is also a key per ...
... expected performance, we would prefer the one with smaller variation in some sense. Consider a discounted portfolio optimization problem, for example. The expected discounted reward of an investment policy is a key performance measure; the downside variation of an investment policy is also a key per ...
![[SE4] Integral simplex using decomposition for the set partitioning](http://s1.studyres.com/store/data/019693331_1-53981937bc1c58ca78e99eb6a82baf81-300x300.png)
[SE4] Integral simplex using decomposition for the set partitioning
... the simplex algorithm that find an optimal solution via a sequence of basic integer solutions. Balas and Padberg in 1972 proved the existence of such a sequence with nonincreasing costs, but degeneracy makes it difficult to find the terms of the sequence. This paper uses ideas from the improved prim ...
... the simplex algorithm that find an optimal solution via a sequence of basic integer solutions. Balas and Padberg in 1972 proved the existence of such a sequence with nonincreasing costs, but degeneracy makes it difficult to find the terms of the sequence. This paper uses ideas from the improved prim ...
Lecture Notes for Algorithm Analysis and Design
... past in postgraduate and undergraduate courses on Design and Analysis of Algorithms in IIT Delhi. A quick browse will reveal that these topics are covered by many standard textbooks in Algorithms like AHU, HS, CLRS, and more recent ones like Kleinberg-Tardos and Dasgupta-Papadimitrou-Vazirani. What ...
... past in postgraduate and undergraduate courses on Design and Analysis of Algorithms in IIT Delhi. A quick browse will reveal that these topics are covered by many standard textbooks in Algorithms like AHU, HS, CLRS, and more recent ones like Kleinberg-Tardos and Dasgupta-Papadimitrou-Vazirani. What ...
Renal lecture problems
... • Identical K channels exist on the apical and basolateral surfaces of the principal cells. K secretion into the lumen requires the development of a negative transepithelial potential. If Na does not enter the cell on the apical surface, then the transepithelial potential does not develop, and K doe ...
... • Identical K channels exist on the apical and basolateral surfaces of the principal cells. K secretion into the lumen requires the development of a negative transepithelial potential. If Na does not enter the cell on the apical surface, then the transepithelial potential does not develop, and K doe ...
Asymptotics of Some Nonlinear Eigenvalue Problems for a
... was shown that the effect of the fringing-field is to reduce the pull-in voltage. In addition, it was shown qualitatively in [21] that the effect of the fringing-field is to destroy the infinite fold point structure of the basic membrane problem (1.2) in the unit disk. Another simple modification of ...
... was shown that the effect of the fringing-field is to reduce the pull-in voltage. In addition, it was shown qualitatively in [21] that the effect of the fringing-field is to destroy the infinite fold point structure of the basic membrane problem (1.2) in the unit disk. Another simple modification of ...
![[CP11] The Next-to-Shortest Path Problem on](http://s1.studyres.com/store/data/019681272_1-7e1f7e9170c466fbb6bdb289dfe09b5d-300x300.png)
Challenge 2
... We learned there are no squares on a sphere, since there are no parallel lines. The closest analog of a square (a pseudosquare?) would be a figure having four equal sides and four equal angles (technically, an equiangular rhombus). For simplicity, we assume the sides of a pseudosquare are shorter ar ...
... We learned there are no squares on a sphere, since there are no parallel lines. The closest analog of a square (a pseudosquare?) would be a figure having four equal sides and four equal angles (technically, an equiangular rhombus). For simplicity, we assume the sides of a pseudosquare are shorter ar ...
Knapsack problem
The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a mass and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. It derives its name from the problem faced by someone who is constrained by a fixed-size knapsack and must fill it with the most valuable items.The problem often arises in resource allocation where there are financial constraints and is studied in fields such as combinatorics, computer science, complexity theory, cryptography and applied mathematics.The knapsack problem has been studied for more than a century, with early works dating as far back as 1897. It is not known how the name ""knapsack problem"" originated, though the problem was referred to as such in the early works of mathematician Tobias Dantzig (1884–1956), suggesting that the name could have existed in folklore before a mathematical problem had been fully defined.