• Management Science and Financial Engineering
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• 제19권1호
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• pp.25-28
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• 2013

Consider the inverse bin-packing number problem. Given a set of items and a prescribed number K of bins, the inverse bin-packing number problem, IBPN for short, is concerned with determining the minimum perturbation to the item-size vector so that all the items can be packed into K bins or less. It is known that this problem is NP-hard (Chung, 2012). In this paper, we investigate some special cases of IBPN that can be solved in polynomial time. We propose an optimal algorithm for solving the IBPN instances with two distinct item sizes and the instances with large items.

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 2000년도 춘계공동학술대회 논문집
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• pp.205-206
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• 2000

In this paper, we consider variable sized bin packing problem, where the objective is not to minimize the total space used in the packing but to minimize the total cost of the packing when the cost of unit size of each bin does not increase as the bin size increases. A heuristic algorithm is described, and analyzed in two special cases: 1) b$\sub$m/｜…｜b$_1$and w$\sub$n/｜…｜w$_1$, and 2) b$\sub$m/｜…｜b$_1$, where b$\sub$i/ denotes the size of i-th type of bin and w$\sub$j/ denotes the size of j-th item. In the case 1), the algorithm guarantees optimality, and in the case 2), it guarantees asymptotic worst-case performance bounds of l1/9.

• 경영과학
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• 제22권1호
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• pp.167-178
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• 2005

The 2DBPP(Two-Dimensional Bin Packing Problem) is a problem of packing each item into a bin so that no two items overlap and the number of required bins is minimized under the set of rectangular items which may not be rotated and an unlimited number of identical .rectangular bins. The 2DBPP is strongly NP-hard and finds many practical applications in industry. In this paper we discuss a tabu search approach which includes tabu list, intensifying and diversification Strategies. The HNFDH(Hybrid Next Fit Decreasing Height) algorithm is used as an internal algorithm. We find that use of the proper parameter and function such as maximum number of tabu list and space utilization function yields a good solution in a reduced time. We present a tabu search algorithm and its performance through extensive computational experiments.

• Management Science and Financial Engineering
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• 제18권2호
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• pp.19-22
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• 2012

In the bin-packing problem, we deal with how to pack the items by using a minimum number of bins. In the inverse bin-packing number problem, IBPN for short, we are given a list of items and a fixed number of bins. The objective is to perturb at the minimum cost the item-size vector so that all items can be packed into the prescribed number of bins. We show that IBPN is NP-hard and provide an approximation algorithm. We also consider a variant of IBPN where the prescribed solution value should be returned by a pre-selected specific approximation algorithm.

• 한국정보과학회:학술대회논문집
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• 한국정보과학회 2003년도 봄 학술발표논문집 Vol.30 No.1 (C)
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• pp.451-453
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• 2003

본 논문은 블루투스 MAC 계층에서의 패킷 스케줄링 성능의 개선을 목적으로 한다 현재 대부분의 많은 블루투스 MAC 계층 스케줄링 방식은 라운드로빈(RR)을 사용하고 있는데, 많은 슬롯과 시간을 낭비하게 되고 최적화된 업링크와 다운링크에 적합하지 않다. 한편, 블루투스의 마스터 노드에서 생기는 자원 낭비 문제를 해결하기 위한 몇 가지 MAC 스케줄링 알고리즘이 있다. 본 논문에서는 Bin-packing 과 DRR 을 이용하는 MAC 계층에서의 효과적인 패킷 스케줄링 알고리즘을 제안하고 시뮬레이션을 통해서 그 성능이 기존 방식에 비해 우월함을 보인다.

• 대한산업공학회지
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• 제34권4호
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• pp.470-480
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• 2008

Loading steel coil products on a specialized packing case called pallet can be represented as a bin-packing problem with the special constraint where objects should be loaded on designated positions of bins. In this paper, under assuming that there exist only two types of objects, we focus on finding the optimum number of positions in a bin which minimizes the number of bins needed for packing a collection of objects. Firstly, we propose a method to decide the number of positions and prove that the method is optimum. Finally, for the packing problem using bins designed by the method, we show that the well-known algorithm, First-Fit Decreasing(FFD), is the optimum algorithm.

• Industrial Engineering and Management Systems
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• 제7권2호
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• pp.126-132
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• 2008

The bin packing problem (BPP) is an NP-Complete Problem. The problem can be described as there are $N=\{1,2,{\cdots},n\}$ which is a set of item indices and $L=\{s1,s2,{\cdots},sn\}$ be a set of item sizes sj, where $0<sj{\leq}1$, ${\forall}j{\in}N$. The objective is to minimize the number of bins used for packing items in N into a bin such that the total size of items in a bin does not exceed the bin capacity. Assume that the bins have capacity equal to one. In the past, many researchers put on effort to find the heuristic algorithms instead of solving the problem to optimality. Then, the quality of solution may be measured by the asymptotic worst-case ratio or the average-case ratio. The First Fit Decreasing (FFD) is one of the algorithms that its asymptotic worst-case ratio equals to 11/9. Many researchers prove the asymptotic worst-case ratio by using the weighting function and the proof is in a lengthy format. In this study, we found an easier way to prove that the asymptotic worst-case ratio of the First Fit Decreasing (FFD) is not more than 11/9. The proof comes from two ideas which are the occupied space in a bin is more than the size of the item and the occupied space in the optimal solution is less than occupied space in the FFD solution. The occupied space is later called the weighting function. The objective is to determine the maximum occupied space of the heuristics by using integer programming. The maximum value is the key to the asymptotic worst-case ratio.

• 월간포장계
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• 통권210호
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• pp.44-51
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• 2010

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 2004년도 춘계공동학술대회 논문집
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• pp.311-314
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• 2004

The 2 DBPP(Two-Dimensional Bin Packing Problem) is a problem of packing each item into a bin so that no two items overlap and the number of required bins is minimized under the set of rectangular items which may not be rotated and an unlimited number of identical rectangular bins. The 2 DBPP is strongly NP-hard and finds many practical applications in industry. In this paper we discuss a tabu search approach which includes tabu list, intensifying and diversification strategies. The HNFDH(Hybrid Next Fit Decreasing Height) algorithm is used as an internal algorithm. We find that use of the proper parameter and function such as maximum number of tabu list and space utilization function yields a good solution in a reduced time. We present a tabu search algorithm and its performance through extensive computational experiments.

• 한국멀티미디어학회논문지
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• 제14권9호
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• pp.1165-1174
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• 2011

데이터 방송 시스템에서 서버는 방송 채널을 통하여 데이터들을 지속적으로 전파하고, 이동 클라이언트는 자신이 원하는 데이터가 방송 채널에 나타나기를 기다리기만 하면 된다. 그러나 방송 채널은 많은 데이터들에 의해 공유되어야 하므로, 원하는 데이터를 수신하기까지 예상 지연시간이 증가할 수 있다. 본 논문은 전체 데이터들의 예상 지연시간을 최소화하기 위하여 다중 방송 채널에 적절하게 데이터를 할당하기 위한 주제를 연구하여 TLBP(Two Level Bin-Packing)로 명명된 새로운 데이터 할당 기법을 제안한다. 본 논문은 우선 평균 예상지연시간의 이론적 하한 값을 소개하고, 이 값에 기초하여 저장소의 용량을 결정한다. TLBP 기법은 저장소-적재 알고리즘을 이용하여 전체 데이터들을 다수 개의 그룹으로 분할하고, 각 그룹의 데이터들을 각 채널에 배정한다. TLBP는 저장소-적재 알고리즘을 두 단계로 적용함에 의해, 동일 방송 채널에 할당된 데이터들의 액세스 확률의 차이를 방송 스케줄에 반영할 수 있어 성능을 향상시킬 수 있다. TLBP와 세가지의 기존 기법과 성능을 비교하기 위하여 시뮬레이션이 수행되었다. 시뮬레이션 결과에 의하면 TLBP는 합리적인 실행부담을 가지면서도 평균 예상지연시간의 성능에 있어서 다른 기법보다 우수한 성능을 보인다.