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Lecture Note – 1
Lecture Note – 1

... It may be noted that, before finding its dual, all the constraints should be transformed to ‘lessthan-equal-to’ or ‘equal-to’ type for maximization problem and to ‘greater-than-equal-to’ or ‘equal-to’ type for minimization problem. It can be done by multiplying with 1 both sides of the constraints, ...
Power Point
Power Point

... • Shah et al. place a requirement on the counter management algorithm (CMA) that it must maintain all counter values accurately ...
Talk Viewgraphs - People
Talk Viewgraphs - People

...  A1, A2, …, AI stochastically independent  Ai is constrained with an arrival curve ...
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... • The other parameter ‘Total count’ is the number of how many times the constraint is checked. ‘Total count’ subsumes the ‘Label count’. • We analyze the ‘Label count’ and ‘Total count’. • We use this formula to compare the quality of data points, which is often referred to as standard error of the ...
Linear Programming
Linear Programming

... z*relaxation is called a __________________ on z* Difference between these two values is called the relaxation ...
The Multiple Knapsack Problem Approached by a Binary Differential
The Multiple Knapsack Problem Approached by a Binary Differential

... particle swarm optimization [3], the binary artificial fish swarm algorithm [4], and the binary fruit fly optimization algorithm [5]. In this work, it is investigated the performance of an adaptive Differential Evolution algorithm designed for binary problems. The Differential Evolution (DE) algorit ...
Iteration complexity of randomized block
Iteration complexity of randomized block

... 1. Composite setting. We consider the composite setting2 (1), whereas [13] covers the unconstrained and constrained smooth setting only. 2. No need for regularization. Nesterov’s high probability results in the case of minimizing a function which is not strongly convex are based on regularizing the ...
An Algorithm For Finding the Optimal Embedding of
An Algorithm For Finding the Optimal Embedding of

... of µ with λi = λi+n−p are fixed so that the programming problem can be reduced to an equivalent programming problem that satisfies the assumption. 3.2.1. The Active-Set Method. The primal active-set method finds solutions of convex quadratic programming problems with linear equality and inequality c ...
EE-0903720-Random Variables and Stochastic Processes
EE-0903720-Random Variables and Stochastic Processes

...  An Introduction to Probability and its Applications - Vols. I (and II) by Feller, 2nd edition, Wiley, 1971. ...
Econ 101A – Solution to Midterm 1 Problem 1. Utility maximization
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... 5. The utility function is not continuously differentiable and thus it does not satisfy the conditions to apply the Lagrangean method. 6. Notice that the utility function U (x, y) is just a monotonic transformation of the utility function u (x, y) = x + y which we saw in class to denote the case of ...
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Design of an efficient algorithm for fuel-optimal look-ahead

... due to traffic, or changed parameters such as the vehicle mass. New optimal solutions must then be computed during the drive mission. An efficient approach is to only consider a truncated horizon in each optimization. This method gives an approximate solution to problem (P1) where the accuracy depen ...
A reservation-based mechanism prevents losses in slotted Optical
A reservation-based mechanism prevents losses in slotted Optical

... wavelengths isolated as extra capacity, at the penalty of the relevant loss of multiplexing gain. As in other OBS systems, data slots are preceded by control packets called Burst Headers; however in this system they will be called scouts, in order to stress the different functionality and their two- ...
XPRESS_Neight - Network and Systems Lab
XPRESS_Neight - Network and Systems Lab

... the RX sensitivity threshold of receiver j at PHY rate R . MC adds an edge between each pair of vertices vij and vkl in the conflict graph if either they share a common node or if the SIR of DATA or ACK directions is less than the SIR receiver threshold  R j at PHY rate R ...
Archimedes and Pi
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... Archimedes studied in Alexandria (269–263 B.C.) and for the rest of his life communicated his results by letter to his friends there. He generally first sent results with encouragement to find proofs, and later full treatments including proofs. None of this has survived. All modern and medieval copi ...
Sample Average Approximation of Expected Value Constrained
Sample Average Approximation of Expected Value Constrained

... also verified the effectiveness of the SAA approach for stochastic programs of the form (5). See [11] and references therein for further details. In this paper we investigate an SAA method for expected value constrained problems (1). We require the expected value constraint in (1) to be soft, i.e., ...
DISTRIBUTED LEAST MEAN SQUARES
DISTRIBUTED LEAST MEAN SQUARES

... whose entries aij are either positive or zero, depending on whether there is a link between nodes i and j or not. To ensure that the data from an arbitrary node can eventually percolate through the entire network, we assume that the network graph is connected. The goal of the network is to adaptivel ...
Simulated annealing with constraints aggregation for control of the
Simulated annealing with constraints aggregation for control of the

... In contrast to the aggregation analysis, the disaggregation is a method, which can derive the information about the complex model using results obtained by reduced system analysis. The disaggregation analysis, often known as the reversal aggregation analysis, enables us to estimate the solution of t ...
Introduction to variance reduction methods 1 Control
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... variance of the stratum G ≤ d is equal to zero, so if you follow the optimal choice of number, you do not have to simulate points in this stratum : all points have to be sampled in the stratum G ≥ d! This can be easily done by using the (numerical) inverse of the distribution function of a Gaussian ...
Moments of Satisfaction: Statistical Properties of a Large Random K-CNF formula
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... For K > 4 the function (~q) which we derived from equation (11) is no longer single-valued for all . This is typical for a rst order transition, where two stable solutions and one unstable solution occur together between two spinodal points. In terms of the overlap, there is a range of where th ...
Optimal Routing in Parallel, non-Observable Queues and
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... First, we provide a stochastic comparison result providing a tight lower bound on the optimal (mean) response time achievable by the system. This bound is expressed in terms of a convex optimization program which integrates the mean response time of a parallel system of independent Γ/M/1 queues. The ...
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Markov Decision Processes - Carnegie Mellon School of Computer
Markov Decision Processes - Carnegie Mellon School of Computer

... The objective in RL is to maximize long-term future reward ...
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Optimization Techniques

... Multiple objective functions. In practice, problems with multiple objectives are reformulated as single-objective problems by either forming a weighted combination of the different objectives or by treating some of the objectives by constraints. ...
X - nptel
X - nptel

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Slides, part 5 - Stony Brook AMS
Slides, part 5 - Stony Brook AMS

... Benjamin Armbruster, John Gunnar Carlsson, Yinyu Ye ...
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Drift plus penalty

This article describes the drift-plus-penalty method for optimization of queueing networks and other stochastic systems.
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