• Title/Summary/Keyword: exhaustive enumeration

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Optimal design of reinforced concrete beams: A review

  • Rahmanian, Ima;Lucet, Yves;Tesfamariam, Solomon
    • Computers and Concrete
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    • v.13 no.4
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    • pp.457-482
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    • 2014
  • This paper summarizes available literature on the optimization of reinforced concrete (RC) beams. The objective of optimization (e.g. minimum cost or weight), the design variables and the constraints considered by different studies vary widely and therefore, different optimization methods have been employed to provide the optimal design of RC beams, whether as isolated structural components or as part of a structural frame. The review of literature suggests that nonlinear deterministic approaches can be efficiently employed to provide optimal design of RC beams, given the small number of variables. This paper also presents spreadsheet implementation of cost optimization of RC beams in the familiar MS Excel environment to illustrate the efficiency of the exhaustive enumeration method for such small discrete search spaces and to promote its use by engineers and researchers. Furthermore, a sensitivity analysis is performed on the contribution of various design parameters to the variability of the overall cost of RC beams.

A Genetic Algorithm for Single Machine Scheduling with Unequal Release Dates and Due Dates (상이한 납기와 도착시간을 갖는 단일기계 일정계획을 위한 유전 알고리즘 설계)

  • 이동현;이경근;김재균;박창권;장길상
    • Journal of the Korean Operations Research and Management Science Society
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    • v.24 no.3
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    • pp.73-82
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    • 1999
  • In this paper, we address a single machine non-preemptive n-job scheduling problem to minimize the sum of earliness and tardiness with different release times and due dates. To solve the problem, we propose a genetic algorithm with new crossover and mutation operators to find the job sequencing. For the proposed genetic algorithm, the optimal pair of crossover and mutation rates is investigated. To illustrate the suitability of genetic algorithm, solutions of genetic algorithm are compared with solutions of exhaustive enumeration method in small size problems and tabu search method in large size problems. Computational results demonstrate that the proposed genetic algorithm provides the near-optimal job sequencing in the real world problem.

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Design and Estimation of Double Sampling Plans for the Dependent Production Processes (종속적 생산 과정을 위한 이중 표본 검사 계획의 설계와 평가)

  • Kim, Won-Kyung
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.2
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    • pp.289-305
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    • 1997
  • In this paper, design procedure and estimation of the double sampling plans are developed when the production process is examined in order and if it shows the dependence between the products. If a dependent process model can be simulated, the best sampling plans can be selected by using the special properties of the probability structure. The number of actual evaluations to find the plans can be reduced remarkably. The experimental study reveals that only small portion of the total exhaustive enumeration is needed. ARMA (1,1) time series models are given as numerical examples.

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A Heuristic for Dual Mode Routing with Vehicle and Drone

  • Min, Yun-Hong;Chung, Yerim
    • Journal of the Korea Society of Computer and Information
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    • v.21 no.9
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    • pp.79-84
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    • 2016
  • In this paper we consider the problem of finding the triplet (S,${\pi}$,f), where $S{\subseteq}V$, ${\pi}$ is a sequence of nodes in S and $f:V{\backslash}S{\rightarrow}S$ for a given complete graph G=(V,E). In particular, there exist two costs, $c^V_{uv}$ and $c^D_{uv}$ for $(u,v){\in}E$, and the cost of triplet (S,${\pi}$,f) is defined as $\sum_{i=1}^{{\mid}S{\mid}}c^V_{{\pi}(i){\pi}(i+1)}+2$ ${\sum_{u{\in}V{\backslash}S}c^D_{uf(u)}$. This problem is motivated by the integrated routing of the vehicle and drone for urban delivery services. Since a well-known NP-complete TSP (Traveling Salesman Problem) is a special case of our problem, we cannot expect to have any polynomial-time algorithm unless P=NP. Furthermore, for practical purposes, we may not rely on time-exhaustive enumeration method such as branch-and-bound and branch-and-cut. This paper suggests the simple heuristic which is motivated by the MST (minimum spanning tree)-based approximation algorithm and neighborhood search heuristic for TSP.

A Genetic Algorithm for Minimizing Query Processing Time in Distributed Database Design: Total Time Versus Response Time (분산 데이타베이스에서의 질의실행시간 최소화를 위한 유전자알고리즘: 총 시간 대 반응시간)

  • Song, Suk-Kyu
    • The KIPS Transactions:PartD
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    • v.16D no.3
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    • pp.295-306
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    • 2009
  • Query execution time minimization is an important objective in distributed database design. While total time minimization is an objective for On Line Transaction Processing (OLTP), response time minimization is for Decision Support queries. We formulate the sub-query allocation problem using analytical models and solve with genetic algorithm (GA). We show that query execution plans with total time minimization objective are inefficient from response time perspective and vice versa. The procedure is tested with simulation experiments for queries of up to 20 joins. Comparison with exhaustive enumeration indicates that GA produced optimal solutions in all cases in much less time.