• Title/Summary/Keyword: Knapsack

Search Result 129, Processing Time 0.023 seconds

A Concave Function Minimization Algorithm Under 0-1 Knapsack Constraint using Strong Valid Inequalities (유효 절단 부등식을 이용한 오목함수 0-1 배낭제약식 문제의 해법)

  • 오세호
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.22 no.3
    • /
    • pp.11-22
    • /
    • 1997
  • The aim of this paper is to develop the B & B type algorithms for globally minimizing concave function under 0-1 knapsack constraint. The linear convex envelope underestimating the concave object function is introduced for the bounding operations which locate the vertices of the solution set. And the simplex containing the solution set is sequentially partitioned into the subsimplices over which the convex envelopes are calculated in the candidate problems. The adoption of cutting plane method enhances the efficiency of the algorithm. These mean valid inequalities with respect to the integer solution which eliminate the nonintegral points before the bounding operation. The implementations are effectively concretized in connection with the branching stategys.

  • PDF

An Efficient Algorithm for the Generalized Multiple Choice Linear Knapsack Problem (일반 다중선택 선형배낭문제에 대한 효율적인 해법)

  • Won, J.Y.;Chung, S.J.
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.15 no.2
    • /
    • pp.33-44
    • /
    • 1990
  • An efficient algorithm is developed for the linear programming relaxation of generalized multiple choice knaspack problem. The generalized multiple choice knaspack problem is an extension of the multiple choice knaspack problem whose relaxed LP problem has been studied extensively. In the worst case, the computational coimplexity of the proposed algorithm is of order 0(n. $n_{max}$)$^{2}$), where n is the total number of variables and $n_{max}$ denotes the cardinality of the largest multiple choice set. The algorithm can be easily embedded in a branch-and-bound procedure for the generalized multiple choice knapsack problem. A numerical example is presented and computational aspects are discussed.sed.

  • PDF

Release Planning in Software Product Lines Using a Genetic Algorithm (유전자 알고리듬을 이용한 소프트웨어 제품라인의 출시 계획 수립)

  • Yoo, Jaewook
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.35 no.4
    • /
    • pp.142-148
    • /
    • 2012
  • Release planning for incremental software development is to select and assign features in sequence of releases along a specified planning horizon. It includes the technical precedence inherent in the features, the conflicting priorities as determined by the representative stakeholders, and the balance between required and available resources. The complexity of this consideration is getting more complicated when planning releases in software product lines. The problem is formulated as a precedence-constrained multiple 0-1 knapsack problem. In this research a genetic algorithm is developed for solving the release planning problems in software product lines as well as tests for the proposed solution methodology are conducted using data generated randomly.

Hidden Subset Sum 문제를 이용한 Chor-Rivest 암호체계

  • 이희정
    • Review of KIISC
    • /
    • v.9 no.4
    • /
    • pp.81-87
    • /
    • 1999
  • Density'(밀도)가 비교적 높은 Chor-Rivest 암호체계는 기존의 LLL과 같은 유형의 공격법이 아니라 비밀키를 일부 찾아내므로 써 공격이 가능하고 '98 Crypto에 처음 발표되 고 '99 Crypto에 그의 공격법과 안전성이 논의된 hidden subset sum problem은 기존의 knapsack 유형의 암호체계와 마찬가지로 밀도가 높을 때 안전하고 밀도가 낮으면 공격이 가능하다 따라서 두 암호체계의 접목을 통하여 안전한 암호체계가 가능한지를 살펴보는 것 도 의미가 있을 것이다, 결론적으로 이야기하면 두암호체계의 접목은 여러 가지 문제점을 포함하고 있기 때문에 어려우리라 생각된다. 제1장에서의 hidden subset sum problem을 살 펴보고 제2장에서는 Chor-Rivest 암호체계를 분석해보고 제 3장에서 Chor-Rivest 암호체계 의 변경 가능한 요소들을 살펴보고 제4장에서 Chor-Rivest 암호체계에 hidden subset sum problem의 활용이 가능한지를 살펴보도록한다. knapsack 유형의 암호체계들중 비교적 최근 까지 안전하다고 하는 암호체계들을 살펴봄으로써 이런 유형들의 개발여부를 생각해 볼수 있는 기회가 되리라 기대된다.

  • PDF

A New Upper Bound for Two-Dimensional Guillotine Cutting Problem (2차원 길로틴 절단문제를 위한 새로운 상한)

  • 윤기섭;지영근;강맹규
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.24 no.62
    • /
    • pp.21-32
    • /
    • 2001
  • The two-dimensional guillotine cutting problem is to maximize sum of piece profits that cut from one stock rectangle and widely applied in the industry. The branch-and-bound method for this problem uses complementarily several upper bounds(the Gilmore and Gomoryp[8]'s two-dimensional knapsack function and the Hifi and Zissimopoulos[10]'s method using one-dimensional knapsack problem, etc) to reduce the number of searched nodes. These upper bounds has a shortcoming that does not consider the bound and layout of pieces simultaneously. In this paper, we propose an efficient upper bound which can complement the shortcoming of existing upper bounds. The proposed upper bound needs less memory spaces and computing time. Computational results show that the proposed upper bound significantly contribute to reduce the computational amount of time and number of searched nodes in tree.

  • PDF

A Greedy Genetic Algorithm for Release Planning in Software Product Lines (소프트웨어 제품라인의 출시 계획 수립을 위한 탐욕 유전자 알고리듬)

  • Yoo, Jaewook
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.36 no.3
    • /
    • pp.17-24
    • /
    • 2013
  • Release planning in a software product line (SPL) is to select and assign the features of the multiple software products in the SPL in sequence of releases along a specified planning horizon satisfying the numerous constraints regarding technical precedence, conflicting priorities for features, and available resources. A greedy genetic algorithm is designed to solve the problems of release planning in SPL which is formulated as a precedence-constrained multiple 0-1 knapsack problem. To be guaranteed to obtain feasible solutions after the crossover and mutation operation, a greedy-like heuristic is developed as a repair operator and reflected into the genetic algorithm. The performance of the proposed solution methodology in this research is tested using a fractional factorial experimental design as well as compared with the performance of a genetic algorithm developed for the software release planning. The comparison shows that the solution approach proposed in this research yields better result than the genetic algorithm.

An Adaptive Policy for Stochastic Knapsack Problems: Parallel Rollout Approach (확률적 배낭 문제들에 대한 적응적 정책: 병렬 롤아웃 접근)

  • Choi, Sang-Hee;Chang, Hyeong-Soo
    • Proceedings of the Korean Information Science Society Conference
    • /
    • 2007.10b
    • /
    • pp.445-450
    • /
    • 2007
  • 본 논문에서는 "확률적 배낭(stochastic knapsack)" 문제에 대하여 잘 알려진 Complete Sharing(CS), Complete Partitioning(CP)이 트래픽 특성에 따라 성능의 차이가 나타난다는 약점과 각 정책(policy)들의 평균 성능에 대한 최적 파라미터들을 트래픽 특성에 따라 결정하여야 한다는 약점을 보완하는 모델에 근거한 "Parallel Rollout(PR)"에 기초한 적응적인 정책(adaptive policy)을 제안한다. 주어진 트래픽 모델을 병합한 확률적 배낭 문제를 마코프 결정 과정(Markov Decision Process, MDP)으로 모델링하고, 마코프 결정 과정상에서 기존의 주어진 정책들을 PR 기법을 적용, 하나의 정책으로 융합하고 그 정책이 기존의 주어진 어떤 정책보다도 성능이 같거나 더 뛰어나다는 이론적 근거를 실험을 통하여 확인한다.

  • PDF

Communication Resource Allocation Strategy of Internet of Vehicles Based on MEC

  • Ma, Zhiqiang
    • Journal of Information Processing Systems
    • /
    • v.18 no.3
    • /
    • pp.389-401
    • /
    • 2022
  • The business of Internet of Vehicles (IoV) is growing rapidly, and the large amount of data exchange has caused problems of large mobile network communication delay and large energy loss. A strategy for resource allocation of IoV communication based on mobile edge computing (MEC) is thus proposed. First, a model of the cloud-side collaborative cache and resource allocation system for the IoV is designed. Vehicles can offload tasks to MEC servers or neighboring vehicles for communication. Then, the communication model and the calculation model of IoV system are comprehensively analyzed. The optimization objective of minimizing delay and energy consumption is constructed. Finally, the on-board computing task is coded, and the optimization problem is transformed into a knapsack problem. The optimal resource allocation strategy is obtained through genetic algorithm. The simulation results based on the MATLAB platform show that: The proposed strategy offloads tasks to the MEC server or neighboring vehicles, making full use of system resources. In different situations, the energy consumption does not exceed 300 J and 180 J, with an average delay of 210 ms, effectively reducing system overhead and improving response speed.

Development of Swirl Disc Nozzles for Knapsack Sprayers (배부식 방제기를 위한 디스크형 노즐 개발)

  • Gwak H.H.;Kim Y.J.;Rhee J.Y.
    • Journal of Biosystems Engineering
    • /
    • v.31 no.3 s.116
    • /
    • pp.153-160
    • /
    • 2006
  • This study was performed to evaluate some geometrical characteristics of disc type swirl nozzles and to develop nozzles having improved spraying performance for knapsack sprayers. Considered geometrical characteristics of the nozzles were disc thickness, orifice diameter, swirl chamber diameter and shape of the swirl chamber (nozzle chamber). 3 types of nozzle cores were compared. Main results of this study were as follows. 1. Spraying angle (A) was increased with decreasing disc thickness (x), and with increasing orifice diameter (y) or spraying pressure (z). The equation was as a follow. $$A=3.95\frac{1}{x}+73.50\sqrt{y}+18.97\sqrt{z}-60.16$$ 2. Spraying flow rate (F) was increased with decreasing disc thickness (x), and with increasing orifice diameter (y) or spraying pressure (z). The equation was as a follow. $$F=-89.95x+611.09y+620.49\sqrt{z}-868.20$$ 3. Mean spraying droplet size (V) was decreased with decreasing disc thickness (x), with increasing orifice diameter (y) in low spraying pressure, with decreasing orifice diameter (y) in high spraying pressure, and with increasing spraying pressure (z). $$V=148.77x^4-746.85x^3+1311.76x^2-917.31x$$ 4. The spray pattern was compared using CV values. The CV value of the nozzle core type 1 was 26.7% in spraying pressure $3\;kgf/cm^2$, the CV value of the core type 2 was 23.6% in spraying pressure $2\;kgf/cm^2$, the CV value of the core type 3 was 20.6% in spraying pressure $1\;kgf/cm^2$. 5. Minimum spraying pressure was improved from $1.5\;kgf/cm^2\;to\;1.0\;kgf/cm^2$ by changes of nozzle core shape.

Design of the Covered Address Generation using the Super Increasing Sequence in Wireless Networks (무선 네트워크에서의 초증가 수열을 통한 주소 은닉 기법 설계)

  • Choun, Jun-Ho;Kim, Sung-Chan;Jang, Kun-Won;Do, Kyung-Hwa;Jun, Moon-Seog
    • The KIPS Transactions:PartC
    • /
    • v.14C no.5
    • /
    • pp.411-416
    • /
    • 2007
  • The General security method of wireless network provides a confidentiality of communication contents based on the cryptographic stability against a malicious host. However, this method exposes the logical and physical addresses of both sender and receiver, so transmission volume and identification of both may be exposed although concealing that content. Covered address scheme that this paper proposes generates an address to which knapsack problem using super increasing sequence is applied, and replaces the addresses of sender and receiver with addresses from super increasing sequence. Also, proposed method changes frequently secret addresses, so a malicious user cannot watch a target system or try to attack the specific host. Proposed method also changes continuously a host address that attacker takes aim at. Accordingly, an attacker who tries to use DDoS attack cannot decide the specific target system.