• 제목/요약/키워드: NP-complete problem

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A Scheduling Scheme for Flexible Flow Shop with Release Date and Due Date (시작시기와 납기를 고려하는 유연흐름공장의 일정계획)

  • Lee, J.H.;Kim, S.S.
    • IE interfaces
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    • 제11권3호
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    • pp.1-13
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    • 1998
  • This paper addresses a scheduling scheme for Flexible Flow Shop(FFS) in the case that a factory is a sub-plant of an electronic device manufacturing plant. Under this environment, job orders for the sub-plants in the production route are generated together with job processing time bucket when the customer places orders for final product. The processing time bucket for each job is a duration from possible release date to permissible due date. A sub-plant modeled FFS should schedule these jobs orders within time bucket. Viewing a Printed Circuit Board(PCB) assembly line as a FFS, the developed scheme schedules an incoming order along with the orders already placed on the scheduled. The scheme consists of the four steps, 1)assigning operation release date and due date to each work cells in the FFS, 2)job grouping, 3)dispatching and 4)machine allocation. Since the FFS scheduling problem is NP-complete, the logics used are heuristic. Using a real case, we tested the scheme and compared it with the John's algorithm and other dispatching rules.

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An Efficient Ordering Method and Data Structure of the Interior Point Method (Putting Emphasis on the Minimum Deficiency Ordering (내부점기법에 있어서 효율적인 순서화와 자료구조(최소부족순서화를 중심으로))

  • 박순달;김병규;성명기
    • Journal of the Korean Operations Research and Management Science Society
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    • 제21권3호
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    • pp.63-74
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    • 1996
  • Ordering plays an important role in solving an LP problem with sparse matrix by the interior point method. Since ordering is NP-complete, we try to find an efficient method. The objective of this paper is to present an efficient heuristic ordering method for implementation of the minimum deficiency method. Both the ordering method and the data structure play important roles in implementation. First we define a new heuristic pseudo-deficiency ordering method and a data structure for the method-quotient graph and cliqued storage. Next we show an experimental result in terms of time and nonzero numbers by NETLIB problems.

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4-Move ZKIP Using WH and WI and Its Applications (Wh와 Wi를 이용한 4-move ZKIP과 그 응용)

  • 양형규;이인숙;원동호
    • Journal of the Korean Institute of Telematics and Electronics A
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    • 제30A권8호
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    • pp.1-10
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    • 1993
  • In this paper, we will propose 4-move ZKIP and its application. Using bit-commitment scheme that is necessary to organize the ZKIP related to NP-Complete problem and WH and WI preserving the property for security under parallel composition of protocols, we will show that the proposed ZKIP is 4-move ZKIP of SAT comparing to 6-move ZKIP of SAT proposed by Brassard. Chaum and Yung, and under claw-free pairs of function the proposed ZKIP is also 4-move ZKIP comparing to 5-move ZKIP proposed by Goldreich and Krawczyk under the same assumption. Moreover we will show the efficiency of the proposed scheme better than Fiat and Shamir's scheme at the points of computational complexity and communication complexity, and also propose the efficient and secure identification scheme against the chosen ciphertext attack, using the proposed scheme.

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Operator Revenue Maximizing Heuristics with QoS Guarenetees for Real Time Traffic in 4G Networks

  • Poudyal, Neeraj;Lee, Ha-Cheol;Lee, Byung-Seub
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제5권5호
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    • pp.976-998
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    • 2011
  • This paper attempts to maximize the operator's revenue while simultaneously providing a multi-constraint, multi-hop and deterministic QoS provisioning for real time traffic in IEEE 802.16m based 4G networks. The optimal solution to such a problem is NP-complete and therefore not feasible to be solved in a tolerable polynomial time. For this reason, we also provide a simple price based greedy heuristic to be used along with the admission control. Simulation results for different QoS schemes show that the heuristic produces a revenue that is very close to the optimal revenue, and is far more aggressive than the size based and other common algorithms that are computationally feasible to be implemented in IEEE 802.16m.

EDGE COVERING COLORING OF NEARLY BIPARTITE GRAPHS

  • Wang Ji-Hui;Zhang Xia;Liu Guizhen
    • Journal of applied mathematics & informatics
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    • 제22권1_2호
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    • pp.435-440
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    • 2006
  • Let G be a simple graph with vertex set V(G) and edge set E(G). A subset S of E(G) is called an edge cover of G if the subgraph induced by S is a spanning subgraph of G. The maximum number of edge covers which form a partition of E(G) is called edge covering chromatic number of G, denoted by X'c(G). It is known that for any graph G with minimum degree ${\delta},\;{\delta}-1{\le}X'c(G){\le}{\delta}$. If $X'c(G) ={\delta}$, then G is called a graph of CI class, otherwise G is called a graph of CII class. It is easy to prove that the problem of deciding whether a given graph is of CI class or CII class is NP-complete. In this paper, we consider the classification of nearly bipartite graph and give some sufficient conditions for a nearly bipartite graph to be of CI class.

Reconfiguration method for array structures using spare element lines (여분소자 라인을 이용한 배열구조의 재구성 방법)

  • 김형석;최상방
    • Journal of the Korean Institute of Telematics and Electronics C
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    • 제34C권2호
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    • pp.50-60
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    • 1997
  • Reconfiguration of a memory array using spare rows and columns has been known to be a useful technique to improve the yield. When the numbers of spare rows and scolumns are limited, respectively, the repair problem is known to be NP-complete. In this paper, we propose the reconfiguration algorithm for an array of memory cells using faulty cel clustering, which removes rows and columns algrithm is the simplest reconfiguration method with the time complexity of $O(n^2)$, where n is the number of faulty cells, however the repair rate is very low. Whereas the exhaustive search algorithm has a high repair rate, but the time complexity is $O(2^n)$. The proposed algorithm provides the same repair rate as the exhaustive search algorithm for almost all cases and runs as fast as the greedy method. It has the time complexity of $O(n^3)$ in the worst case. We show that the propsed algorithm provides more efficient solutions than other algorithms using simulations.

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A Heuristic Scheduling Algorithm for Reducing the Total Error of an Imprecise Multiprocessor System with 0/1 Constraint

  • Song, Ki-Hyun;Park, Kyung-Hee;Park, Seung-Kyu;Park, Dug-Kyoo;Yun, Kyong-Ok
    • Journal of Electrical Engineering and information Science
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    • 제2권6호
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    • pp.1-6
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    • 1997
  • The scheduling problem of satisfying both 0/1 constraint and the timing constraint while minimizing the total error is NP-complete when the optional parts have arbitrary processing times. In this paper, we present a heuristic scheduling algorithm for 0/1 constraint imprecise systems which consist of communicating tasks running on multiple processors. The algorithm is based on the program graph which is similar to the one presented in[4]. To check the schedulability, we apply Lawler and Moore's theorem. To analyze the performance of the proposed algorithm, intensive simulation is done. The results of the simulation shows that the longest processing first selection strategy outperforms random or minimal laxity policies.

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Design of Distributed Computer Systems Using Tabu Search Method (Tabu 탐색 기법을 이용한 분산 컴퓨팅 시스템 설계)

  • Hong, Jin-Won;Kim, Jae-Yearn
    • Journal of Korean Society of Industrial and Systems Engineering
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    • 제18권36호
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    • pp.143-152
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    • 1995
  • This paper determines the allocation of computers and data files to minimize the sum of processing and communication costs which occur in processing jobs at each node. The problem of optimally configuring a distributed computer system belongs to the class of NP-Complete problems and the object function of this paper is nonlinear function and is hard to solve. This paper seeks the solution of distributed processing system by Tabu Search. Firstly, it presents the method of generating the starting solution proper to the distributed processing system. Secondly, it develops the method of searching neighborhood solutions. Finally, it determines the Tabu restriction appropriate to the distributed processing system. According to the experimental results, this algorithm solves a sized problems in reasonable time and is effective in the convergence of the solution. The algorithm developed in this paper is also applicable to the general allocation problems of the distributed processing system.

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A heuristic m-machine flowshop scheduling method under the total tardiness criterion (Total Tardiness 기준하(基準下)에서의 m- machine Flowshop Scheduling을 위한 발견적(發見的) 기법(技法)에 관한 연구(硏究))

  • Choi, Yong-Sun;Lee, Seong-Soo;Kim, Soung-Hie
    • Journal of Korean Institute of Industrial Engineers
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    • 제18권1호
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    • pp.91-104
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    • 1992
  • Flowshop scheduling problem is known to be NP-complete. Since the optimization apporach like branch-and-bound is limited by exponentially growing computation time, many heuristic methods have been developed. Total tardiness is one of the criteria that the researchers have recently considered in flowshop scheduling. There, however, are few literatures which studied the general (m machine)-flowshop scheduling under the total tardiness criterion. In this paper, a heuristic scheduling method to minimize total tardiness at the (m machine, n job)-flowshop is presented. A heuristic value function is proposed to be used as a dispatching criterion in initial schedule generation. And the schedule improving procedure, by pairwise interchange of tardy job with the job right ahead of it, is introduced. Illustrative examles and simulated results are presented.

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Algorithm for Efficient D-Class Computation (효율적인 D-클래스 계산을 위한 알고리즘)

  • Han, Jae-Il
    • Journal of Information Technology Services
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    • 제6권1호
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    • pp.151-158
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    • 2007
  • D-class computation requires multiplication of three Boolean matrices for each of all possible triples of $n{\times}n$ Boolean matrices and search for equivalent $n{\times}n$ Boolean matrices according to a specific equivalence relation. It is easy to see that even multiplying all $n{\times}n$ Boolean matrices with themselves shows exponential time complexity and D-Class computation was left an unsolved problem due to its computational complexity. The vector-based multiplication theory shows that the multiplication of three Boolean matrices for each of all possible triples of $n{\times}n$ Boolean matrices can be done much more efficiently. However, D-Class computation requires computation of equivalent classes in addition to the efficient multiplication. The paper discusses a theory and an algorithm for efficient D-class computation, and shows execution results of the algorithm.