Dichotomic Search Protocols for Constrained Optimization
نویسندگان
چکیده
We devise a theoretical model for dichotomic search algorithms for constrained optimization. We show that, within our model, a certain way of choosing the breaking point minimizes both expected as well as worst case performance in a skewed binary search. Furthermore, we show that our protocol is optimal in the expected and in the worst case. Experimental results illustrate performance gains when our protocols are used within the search strategy by Streeter and Smith.
منابع مشابه
Constrained Multi-Objective Optimization Problems in Mechanical Engineering Design Using Bees Algorithm
Many real-world search and optimization problems involve inequality and/or equality constraints and are thus posed as constrained optimization problems. In trying to solve constrained optimization problems using classical optimization methods, this paper presents a Multi-Objective Bees Algorithm (MOBA) for solving the multi-objective optimal of mechanical engineering problems design. In the pre...
متن کاملA Cuckoo search algorithm (CSA) for Precedence Constrained Sequencing Problem (PCSP)
Precedence constrained sequencing problem (PCSP) is related to locate the optimal sequence with the shortest traveling time among all feasible sequences. In PCSP, precedence relations determine sequence of traveling between any two nodes. Various methods and algorithms for effectively solving the PCSP have been suggested. In this paper we propose a cuckoo search algorithm (CSA) for effectively ...
متن کاملA Dichotomic Search Algorithm for Mining and Learning in Domain-Specific Logics
Many application domains make use of specific data structures such as sequences and graphs to represent knowledge. These data structures are ill-fitted to the standard representations used in machine learning and data-mining algorithms: propositional representations are not expressive enough, and first order ones are not efficient enough. In order to efficiently represent and reason on these da...
متن کاملConstrained Nonlinear Optimal Control via a Hybrid BA-SD
The non-convex behavior presented by nonlinear systems limits the application of classical optimization techniques to solve optimal control problems for these kinds of systems. This paper proposes a hybrid algorithm, namely BA-SD, by combining Bee algorithm (BA) with steepest descent (SD) method for numerically solving nonlinear optimal control (NOC) problems. The proposed algorithm includes th...
متن کاملCONSTRAINED BIG BANG-BIG CRUNCH ALGORITHM FOR OPTIMAL SOLUTION OF LARGE SCALE RESERVOIR OPERATION PROBLEM
A constrained version of the Big Bang-Big Crunch algorithm for the efficient solution of the optimal reservoir operation problems is proposed in this paper. Big Bang-Big Crunch (BB-BC) algorithm is a new meta-heuristic population-based algorithm that relies on one of the theories of the evolution of universe namely, the Big Bang and Big Crunch theory. An improved formulation of the algorithm na...
متن کامل