• 제목/요약/키워드: Mixed integer optimization

검색결과 155건 처리시간 0.03초

An Efficient Throughput Improvement through Bandwidth Awareness in Cognitive Radio Networks

  • Le, Tung Thanh;Kim, Dong-Seong
    • Journal of Communications and Networks
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    • 제16권2호
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    • pp.146-154
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    • 2014
  • This paper proposes a bandwidth-aware localized-routing algorithm that is capable of sensing the available spectrum bands within a two-hop neighboring for choosing the highly opportunistic routes. A mixed-integer linear programming (MILP) is utilized to formulate the optimization problem. Then, the proposed algorithm is used to determine the maximum bandwidth possible of link pairs via a bandwidth approximation process of relaxed variables. Thereby, the proposed algorithm can allow selected routes corresponding to maximum bandwidth possible between cognitive radio (CR) users through link pairs in cognitive radio networks. By comparing the solution values to previous works, simulation results demonstrate that the proposed algorithm can offer a closed-optimal solution for routing performance in cognitive radio networks. The contribution of this paper is achieved through approximately 50% throughput utilized in the network.

A Lagrangian Relaxation Approach to Capacity Planning for a Manufacturing System with Flexible and Dedicated Machines

  • Lim, Seung-Kil;Kim, Yeong-Dae
    • 한국경영과학회지
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    • 제23권2호
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    • pp.47-65
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    • 1998
  • We consider a multiperiod capacity planning problem for determining a mix of flexible and dedicated capacities under budget restriction. These capacities are controlled by purchasing flexible machines and/or new dedicated machines and disposing old dedicated machines. Acquisition and replacement schedules are determined and operations are assigned to the flexible or dedicated machines for the objective of minimizing the sum of discounted costs of acquisition and operation of flexible machines, new dedicated machines, and old dedicated machines. In this research, the Problem is formulated as a mixed integer linear Program and solved by a Lagrangian relaxation approach. A subgradient optimization method is employed to obtain lower bounds and a multiplier adjustment method is devised to improve the bounds. We develop a linear programming based Lagrangian heuristic algorithm to find a good feasible solution of the original problem. Results of tests on randomly generated test problems show that the algorithm gives relatively good solutions in a reasonable amount of computation time.

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서비스 전후 우선순위를 고려한 해군함정의 부두 할당에 관한 연구 (A Study on Berth Allocation for Navy Surface Vessel Considering Precedence Relationship among Services)

  • 정환식;김승권
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2003년도 추계학술대회 및 정기총회
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    • pp.350-353
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    • 2003
  • Navy surface vessels require pier services such as emergency repair, oil supply, fm loading/unloading, crane, standby readiness, normal repair, gun arrangement, ammunition loading, and food loading during the period in port. The purpose of this study is to establish efficient berth allocation plan for navy surface vessels in home port under the limited resources of piers and equipments. The study suggests Mixed Integer Programing (MIP) model for bath allocation problem, considering precedence relationships among services. For a effective analysis, the model is implemented by ILOG OPL(Optimization Programming Language) Studio 3.1 and ILOG Cplex 7.0. The results of the model show reduction of berth shifts and increasement of service benefits. And thus, it would be a possibility of contribution in the improvement of fleet readiness.

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FTTH-PON 가입자망 설계에서 Splitter Location-Allocation 문제 (A Splitter Location-Allocation Problem in Designing FTTH-PON Access Networks)

  • 박찬우;이영호;한정희
    • 한국경영과학회지
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    • 제36권2호
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    • pp.1-14
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    • 2011
  • In this paper, we deal with an access network design problem of fiber-to-the-home passive optical network (FTTH-PON). The FTTH-PON network design problem seeks to minimize the total cost of optical splitters and cables that provide optical connectivity between central office and subscribers. We develop a flow-based mixed integer programming (MIP) model with nonlinear link cost. By developing valid inequalities and preprocessing rules, we enhance the strength of the proposed MIP model in generating tight lower bounds for the problem. We develop an effective Tabu Search (TS) heuristic algorithm that provides good quality feasible solutions to the problem. Computational results demonstrate that the valid inequalities and preprocessing rules are effective for improving the LP-relaxation lower bound and TS algorithm finds good quality solutions within reasonable time bounds.

분산처리 최적조류계산 기반 연계계통 급전계획 알고리즘 개발 (A New Dispatch Scheduling Algorithm Applicable to Interconnected Regional Systems with Distributed Inter-temporal Optimal Power Flow)

  • 정구형;강동주;김발호
    • 전기학회논문지
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    • 제56권10호
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    • pp.1721-1730
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    • 2007
  • SThis paper proposes a new dispatch scheduling algorithm in interconnected regional system operations. The dispatch scheduling formulated as mixed integer non-linear programming (MINLP) problem can efficiently be computed by generalized Benders decomposition (GBD) algorithm. GBD guarantees adequate computation speed and solution convergency since it decomposes a primal problem into a master problem and subproblems for simplicity. In addition, the inter-temporal optimal power flow (OPF) subproblem of the dispatch scheduling problem is comprised of various variables and constraints considering time-continuity and it makes the inter-temporal OPF complex due to increased dimensions of the optimization problem. In this paper, regional decomposition technique based on auxiliary problem principle (APP) algorithm is introduced to obtain efficient inter-temporal OPF solution through the parallel implementation. In addition, it can find the most economic dispatch schedule incorporating power transaction without private information open. Therefore, it can be expanded as an efficient dispatch scheduling model for interconnected system operation.

크레인 대수의 제약을 고려한 선석계획 문제에 대한 발견적 해법 (A Heuristic Algorithm for Berth Planning with a Limited Number of Cranes)

  • 박영만;김갑환
    • 한국항해항만학회지
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    • 제35권1호
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    • pp.63-70
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    • 2011
  • 본 연구는 컨테이너 터미널에서 선박의 선적작업을 위한 선석배정 및 크레인 할당문제를 동시에 결정하는 문제를 다루고 있다. 실제 컨테이너 터미널에서 고려하고 있는 다양한 형태의 제약을 고려하여 선석계획 및 크레인할당 문제에 대한 혼합정수모델을 제시하였다. 제안된 문제에 대해 좋은 해를 짧은 시간 안에 구하기 위하여 발견적 해법을 제시하였다. 또한 수치예제를 이용하여 제시된 발견적 기법의 수행도를 비교분석하였다. 분석결과 제시된 기법은 짧은 시간 안에 좋은 해를 제공하는 것으로 나타났다.

GRASP 기법을 이용한 주문이월과 자원제약을 고려한 공급사슬 망에서의 생산계획 알고리즘 (A Production Planning Algorithm for a Supply Chain Network Considering Bark-Order and Resource Capacity Using GRASP Method)

  • 신현준;이영섭
    • 산업경영시스템학회지
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    • 제32권3호
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    • pp.29-39
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    • 2009
  • In an environment of global competition, the success of a manufacturing corporation is directly related to how it plans and executes production in particular as well as to the optimization level of its process in general. This paper proposes a production planning algorithm for the Multi-Level, multi-item Capacitated Lot Sizing Problem (MLCLSP) in supply chain network considering back-order. MLCLSP corresponds to a mixed integer programming (MIP) problem and is NP-hard. Therefore, this paper proposes an effective algorithm, GRHS (GRASP-based Rolling Horizon Search) that solves this problem within reasonable computational time and evaluates its performance under a variety of problem scenarios.

PV 시스템 계획 문제에 대한 PSO 기법들의 비교 연구 (Comparison Studies of PSO Techniques for PV System Allocation Problem)

  • 라이언 디올라타;송화창;주영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 제39회 하계학술대회
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    • pp.482-483
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    • 2008
  • This paper compares particle swarm optimization techniques for PV allocation planning problem in power systems. PV allocation planning problem is formulated as a mixed-integer nonlinear problem. Five variants of PSO techniques are investigated for the applicability on the PV allocation problem. Namely, PSO with constant inertia weight approach (PSO-CIW), PSO with time varying inertia weight (PSO-TVIW), PSO with random inertia weight (PSO-RIW), PSO with constriction factor (PSO-CF) and PSO with time varying acceleration coefficients (PSO-TVAC).

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Multiple Product Single Facility Stockout Avoidance Problem (SAP) and Weighted Stockout Problem (WSP)

  • Moon, Il-Kyeong
    • 한국경영과학회지
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    • 제17권3호
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    • pp.137-158
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    • 1992
  • We study the Multiple Product Single Facility Stockout Avoidance Problem (SAP). That is the problem of determining, given initial inventories, whether there is a multiple product single facility production schedule that avoids stockouts over a given time horizon. The optimization version of the SAP where stockouts are pnelized linearly is also studied. We call this problem the Weighted Stockout Problem (WSP). Both problems are NP-hard in the strong sense. We develop Mixed Integer Linear Programming (MIP) formulations for both the SAP and the WSP. In addition, several heuristic algorithms are presented and performances are tested using computational experiments. We show that there exist polynomial algorithms for some special cases of the SAP and the WSP. We also present a method to phase into a target cyclic schedule for infinite horizon problems. These can be used as a practical scheduling tool for temporarily overloaded facilities or to reschedule production after a disruption.

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설비용량에 제한이 있는 입지선정 문제에 대한 기존해법간의 비교분석 (A Comparative Study On Optimization Algorithms for Capacited Facility Location)

  • 차동완;정승학;명영수
    • 한국경영과학회지
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    • 제11권2호
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    • pp.1-6
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    • 1986
  • Capacitated facility location problems have received a great deal of attention in the past decade, resulting in a proliferation of algorithms for solving them. As is the case with mixed 1-1 integer programming problems, the computational success of such algorithms depends greatly on how to obtain lower bounds in good quality within a resonable time. The objective of this paper is to provide a comparative analysis of those algorithms in terms of lower bounds they produce. Analyses of the strategies for generating lower bounds as well as the quality of generated lower bounds are provided.

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