e-MS-CIT

CIT Avoidance Guidelines and D-CIT Development

MS&E-319: Approximation Algorithms

Suppose we have m identical machines and n jobs. For each job i, we are given ti, the time it takes to process it on one of the machines. Our goals is to assign the jobs to machines in a balanced way. Let Aj be the set of jobs assigned to machine j. Define Tj = ∑ i∈Aj ti to be the load of machine j. The makespan of an assignment is the maximum load on a machine (i.e. maxi Ti). The goal of load ...

Minimum MS. E. Gerber's Lemma

—Mrs. Gerber's Lemma lower bounds the entropy at the output of a binary symmetric channel in terms of the entropy of the input process. In this paper, we lower bound the output entropy via a different measure of input uncertainty, pertaining to the minimum mean squared error (MMSE) prediction cost of the input process. We show that in many cases our bound is tighter than the one obtained from M...

α ms ) Corrections in e + e − Annihilation and τ Decay

The results of evaluation of mixed QED×QCD corrections to R(s) in e+e− annihilation and Rτ in hadronic decay of the τ lepton to O(α αs ), m+n ≤ 3, are presented. The net effect on αs(MZ) from the Z decay is only about 0.1% and in the τ decay case the net effect is negligible, as expected. PACS numbers: 12.38.Bx, 13.38.Dg Typeset using REVTEX ∗[email protected] 1 Inclusive processes of the ...

MS&E 336 Lecture 4: Stochastic games

i Ai(x), a stage payoff Qi(a;x). 4. For each state x and action vector a ∈ ∏ i Ai(x), a transition probability P(x |x,a) that is a distribution on the state space X . 5. A discount factor δ, 0 < δ < 1. 6. An initial state x. Play proceeds as follows. The game starts in state x. At each stage t, all players simultaneously choose (possibly mixed) actions ai, with possible pure actions given by th...