Lower Bound on Testing
نویسندگان
چکیده
We introduce a new method of proving lower bounds on the depth of algebraic d-degree decision (resp. computation) trees and apply it to prove a lower bound (log N) (resp. (log N= log log N)) for testing membership to an n-dimensional convex polyhedron having N faces of all dimensions, provided that N > (nd) (n) (resp. N > n (n)). This bound apparently does not follow from the methods developed by M. because topological invariants used in these methods become trivial for convex polyhedra.
منابع مشابه
The Empirical Analysis of Monetary Policy on Balance of Payments Adjustments in Nigeria: A Bound Testing Approach
This study investigates the impact of monetary policy on balance of payments (BOP) adjustment in Nigeria within the periods, 1980-2015. The study used the bound testing approach to show the relationship that exists among monetary policy variables (money supply, domestic credit, inflation and exchange rate), output growth, and trade balance and BOP adjustment in Nigeria. The study shows that the...
متن کاملA New Lower Bound for Completion Time Distribution Function of Stochastic PERT Networks
In this paper, a new method for developing a lower bound on exact completion time distribution function of stochastic PERT networks is provided that is based on simplifying the structure of this type of network. The designed mechanism simplifies network structure by arc duplication so that network distribution function can be calculated only with convolution and multiplication. The selection of...
متن کاملA New Lower Bound for Completion Time Distribution Function of Stochastic PERT Networks
In this paper, a new method for developing a lower bound on exact completion time distribution function of stochastic PERT networks is provided that is based on simplifying the structure of this type of network. The designed mechanism simplifies network structure by arc duplication so that network distribution function can be calculated only with convolution and multiplication. The selection of...
متن کاملAn Upper Bound on the First Zagreb Index in Trees
In this paper we give sharp upper bounds on the Zagreb indices and characterize all trees achieving equality in these bounds. Also, we give lower bound on first Zagreb coindex of trees.
متن کاملA New Lower Bound for Flexible Flow Shop Problem with Unrelated Parallel Machines
Flexible flow shop scheduling problem (FFS) with unrelated parallel machines contains sequencing in flow shop where, at any stage, there exists one or more processors. The objective consists of minimizing the maximum completion time. Because of NP-completeness of FFS problem, it is necessary to use heuristics method to address problems of moderate to large scale problem. Therefore, for assessme...
متن کامل