• Title/Summary/Keyword: precedence constraint

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A Triangularization Algorithm Solving for the Complex Design with Precedence Constraints and IDEF3 Modeling in Concurrent Engineering (전제조건과 IDEF3를 응용한 동시공학환경에서의 복합설계)

  • Cho, Moon-Soo;Lim, Tae-Jin
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.7
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    • pp.742-752
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    • 2009
  • Engineering design involves the specification of many variables that define a product, how it is made, and how it behaves applied to computer, communication and control fields. Before some variables can be determined, other variables must first be known or assumed. This fact implies a precedence order of the variables, and of the tasks of determining these variables consequently. Moreover, design of complex systems may involve a large number of design activities. In this paper, the activity-activity incidence matrix is considered as a representation of design activity analysis which mainly focuses on the precedence constraint with an object of doing IDEF3 in process-centered view. In order to analyze the activity-activity incidence matrix, a heuristic algorithm is proposed, which transforms an activity-activity, parameter-formula, and parameter-parameter incidence matrix into a lower triangular form. The analysis of the structured matrices can not only significantly reduce the overall project complexity by reorganizing few critical tasks in practice, but also aims at obtaining shorter times considering the solution structure by exploring concurrency.

Optimal Conveyor Selection Problem on a Diverging Conveyor Junction Point (컨베이어 분기점에서의 최적 인출 컨베이어 선택 문제)

  • Han, Yong-Hee
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.32 no.3
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    • pp.118-126
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    • 2009
  • This research investigates the problem of minimizing setup costs in resequencing jobs having first-in, first-out(FIFO) constraints at conveyorized production or assembly systems. Sequence changing at conveyor junctions in these systems is limited due to FIFO restriction. We first define the general problem of resequencing jobs to workstations satisfying precedence relationships between jobs(Generalized Sequential Ordering Problem, GSOP). Then we limit our scope to FIFO precedence relationships which is the conveyor selection problem at a diverging junction(Diverging Sequential Ordering Problem, DSOP), modeling it as a 0-1 integer program. With the capacity constraint removed, we show that the problem can be modeled as an assignment problem. In addition, we proposed and evaluated the heuristic algorithm for the case where the capacity constraint cannot be removed. Finally, we discuss the case study which motivated this research and numerical results.

APPLICATION OF CONSTRAINT LOGIC PROGRAMMING TO JOB SEQUENCING

  • Ko, Jesuk;Ku, Jaejung
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2000.04a
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    • pp.617-620
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    • 2000
  • In this paper, we show an application of constraint logic programming to the operation scheduling on machines in a job shop. Constraint logic programming is a new genre of programming technique combining the declarative aspect of logic programming with the efficiency of constraint manipulation and solving mechanisms. Due to the latter feature, combinatorial search problems like scheduling may be resolved efficiently. In this study, the jobs that consist of a set of related operations are supposed to be constrained by precedence and resource availability. We also explore how the constraint solving mechanisms can be defined over a scheduling domain. Thus the scheduling approach presented here has two benefits: the flexibility that can be expected from an artificial intelligence tool by simplifying greatly the problem; and the efficiency that stems from the capability of constraint logic programming to manipulate constraints to prune the search space in an a priori manner.

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A Heuristic Approach Solving for the Complex Design with Precedence Constraints in Concurrent Engineering (복합설계를 위한 동시공학적 접근방법)

  • Cho, Moon-Soo;Kim, Chang-Yeong
    • Journal of Korean Institute of Industrial Engineers
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    • v.24 no.2
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    • pp.185-197
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    • 1998
  • Engineering design involves the specification of many variables that define a product, how it is made, and how it behaves. Before some variables can be determined, other variables must first be known or assumed. This fact implies a precedence order of the variables, and of the tasks of determining these variable consequently. Moreover, design of complex systems may involve a large number of design activities. In this paper, the activity-activity incidence matrix is considered as a representation of design activity analysis which mainly focuses on the precedence constraint. In order to analyze the activity-activity incidence matrix, a heuristic algorithm is proposed, which transforms an activity-activity, parameter-formula, and parameter-parameter incidence matrix into a lower triangular form. The analysis of the structured matrices can not only significantly reduce the overall project complexity by reorganizing few critical tasks in practice, but also aims at obtaining shorter times considering the solution structure by exploring concurrency.

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Solving the Constrained Job Sequencing Problem using Candidate Order based Tabu Search (후보순위 기반 타부 서치를 이용한 제약 조건을 갖는 작업 순서결정 문제 풀이)

  • Jeong, Sung-Wook;Kim, Jun-Woo
    • The Journal of Information Systems
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    • v.25 no.1
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    • pp.159-182
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    • 2016
  • Purpose This paper aims to develop a novel tabu search algorithm for solving the sequencing problems with precedence constraints. Due to constraints, the traditional meta heuristic methods can generate infeasible solutions during search procedure, which must be carefully dealt with. On the contrary, the candidate order based tabu search (COTS) is based on a novel neighborhood structure that guarantees the feasibility of solutions, and can dealt with a wide range of sequencing problems in flexible manner. Design/methodology/approach Candidate order scheme is a strategy for constructing a feasible sequence by iteratively appending an item at a time, and it has been successfully applied to genetic algorithm. The primary benefit of the candidate order scheme is that it can effectively deal with the additional constraints of sequencing problems and always generates the feasible solutions. In this paper, the candidate order scheme is used to design the neighborhood structure, tabu list and diversification operation of tabu search. Findings The COTS has been applied to the single machine job sequencing problems, and we can see that COTS can find the good solutions whether additional constraints exist or not. Especially, the experiment results reveal that the COTS is a promising approach for solving the sequencing problems with precedence constraints. In addition, the operations of COTS are intuitive and easy to understand, and it is expected that this paper will provide useful insights into the sequencing problems to the practitioners.

Sequencing Constraints-based Regression Testing of Concurrent Programs After Specification Changes (명세 변경 후 병행 프로그램의 순서 제약조건 기반 회귀 테스팅)

  • Kim, Hyeon-Soo;Chung, In-Sang;Bae, Hyun-Seop;Kwon, Yong-Rae;Lee, Dong-Gil
    • Journal of KIISE:Software and Applications
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    • v.27 no.4
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    • pp.370-383
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    • 2000
  • This paper describes a new technique known as specification-based regression testing that is used for the revalidation of concurrent programs after changes are made to specifications. This type of regression testing requires sequencing constraint that specify precedence relations on the synchronization events. In order to extract sequencing constraint automatically, we use Message Sequence Charts(MSCs) that are considered partial and nondeterministic specifications. We show how to identify which sequencing constraint is affected by the modifications made to a specification rather than creating new sequencing constraint from scratch to reduce the cost of regression testing. We also describe how to determine that each affected sequencing constraint is satisfied by a program being tested.

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Derivation Algorithm of State-Space Equation for Production Systems Based on Max-Plus Algebra

  • Goto, Hiroyuki;Masuda, Shiro
    • Industrial Engineering and Management Systems
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    • v.3 no.1
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    • pp.1-11
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    • 2004
  • This paper proposes a new algorithm for determining an optimal control input for production systems. In many production systems, completion time should be planned within the due dates by taking into account precedence constraints and processing times. To solve this problem, the max-plus algebra is an effective approach. The max-plus algebra is an algebraic system in which the max operation is addition and the plus operation is multiplication, and similar operation rules to conventional algebra are followed. Utilizing the max-plus algebra, constraints of the system are expressed in an analogous way to the state-space description in modern control theory. Nevertheless, the formulation of a system is currently performed manually, which is very inefficient when applied to practical systems. Hence, in this paper, we propose a new algorithm for deriving a state-space description and determining an optimal control input with several constraint matrices and parameter vectors. Furthermore, the effectiveness of this proposed algorithm is verified through execution examples.

Generation of Block Assembly Sequence by Case Based Reasoning (사례기반 추론을 이용한 블록조립계획)

  • 신동목;김태운;서윤호
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.7
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    • pp.163-170
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    • 2004
  • In order to automatically determine the sequences of block assembly operations in shipbuilding, a process planning system using case-based reasoning (CBR) is developed. A block-assembly planning problem is modeled as a constraint satisfaction problem where the precedence relations between operations are considered constraints. The process planning system generates an assembly sequence by adapting information such as solutions and constraints collected from similar cases retrieved from the case base. In order to find similar cases, the process planning system first matches the parts of the problem and the parts of each case based on their roles in the assembly, and then it matches the relations related to the parts-pairs. The part involved in more operations are considered more important. The process planning system is applied to simple examples fur verification and comparison.

A Case Study of Human Resource Allocation for Effective Hotel Management

  • Murakami, Kayoko;Tasan, Seren Ozmehmet;Gen, Mitsuo;Oyabu, Takashi
    • Industrial Engineering and Management Systems
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    • v.10 no.1
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    • pp.54-64
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    • 2011
  • The purpose of this study is to optimally allocate the human resources to tasks while minimizing the total daily human resource costs and smoothing the human resource usage. The human resource allocation problem (hRAP) under consideration contains two kinds of special constraints, i.e. operational precedence and skill constraints in addition to the ordinary constraints. To deal with the multiple objectives and the special constraints, first we designed this hRAP as a network problem and then proposed a Pareto multistage decisionbased genetic algorithm (P-mdGA). During the evolutionary process of P-mdGA, a Pareto evaluation procedure called generalized Pareto-based scale-independent fitness function approach is used to evaluate the solutions. Additionally, in order to improve the performance of P-mdGA, we use fuzzy logic controller for fine-tuning of genetic parameters. Finally, in order to demonstrate the applicability and to evaluate the performance of the proposed approach, P-mdGA is applied to solve a case study in a hotel, where the managers usually need helpful automatic support for effectively allocating hotel staff to hotel tasks.

A Real-time Resource Allocation Algorithm for Minimizing the Completion Time of Workflow (워크플로우 완료시간 최소화를 위한 실시간 자원할당 알고리즘)

  • Yoon, Sang-Hum;Shin, Yong-Seung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.29 no.1
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    • pp.1-8
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    • 2006
  • This paper proposes a real-time resource allocation algorithm for minimizing the completion time of overall workflow process. The jobs in a workflow process are interrelated through the precedence graph including Sequence, AND, OR and Loop control structure. A resource should be allocated for the processing of each job, and the required processing time of the job can be varied by the resource allocation decision. Each resource has several inherent restrictions such as the functional, geographical, positional and other operational characteristics. The algorithm suggested in this paper selects an effective resource for each job by considering the precedence constraint and the resource characteristics such as processing time and the inherent restrictions. To investigate the performance of the proposed algorithm, several numerical tests are performed for four different workflow graphs including standard, parallel and two series-parallel structures. In the tests, the solutions by the proposed algorithm are compared with random and optimal solutions which are obtained by a random selection rule and a full enumeration method respectively.