• 제목/요약/키워드: near optimal scheduling

검색결과 49건 처리시간 0.027초

작업 종속 및 위치기반 선형학습효과를 갖는 2-에이전트 단일기계 스케줄링 (Two-Agent Single-Machine Scheduling with Linear Job-Dependent Position-Based Learning Effects)

  • 최진영
    • 산업경영시스템학회지
    • /
    • 제38권3호
    • /
    • pp.169-180
    • /
    • 2015
  • Recently, scheduling problems with position-dependent processing times have received considerable attention in the literature, where the processing times of jobs are dependent on the processing sequences. However, they did not consider cases in which each processed job has different learning or aging ratios. This means that the actual processing time for a job can be determined not only by the processing sequence, but also by the learning/aging ratio, which can reflect the degree of processing difficulties in subsequent jobs. Motivated by these remarks, in this paper, we consider a two-agent single-machine scheduling problem with linear job-dependent position-based learning effects, where two agents compete to use a common single machine and each job has a different learning ratio. Specifically, we take into account two different objective functions for two agents: one agent minimizes the total weighted completion time, and the other restricts the makespan to less than an upper bound. After formally defining the problem by developing a mixed integer non-linear programming formulation, we devise a branch-and-bound (B&B) algorithm to give optimal solutions by developing four dominance properties based on a pairwise interchange comparison and four properties regarding the feasibility of a considered sequence. We suggest a lower bound to speed up the search procedure in the B&B algorithm by fathoming any non-prominent nodes. As this problem is at least NP-hard, we suggest efficient genetic algorithms using different methods to generate the initial population and two crossover operations. Computational results show that the proposed algorithms are efficient to obtain near-optimal solutions.

자원제약을 고려한 분해 일정계획 문제에 대한 2 단계 발견적 기법 (A Two-Stage Heuristic for Capacitated Disassembly Scheduling)

  • Jeon, Hyong-Bae;Kim, Jun-Gyu;Kim, Hwa-Joong;Lee, Dong-Ho
    • 한국경영과학회:학술대회논문집
    • /
    • 한국경영과학회/대한산업공학회 2005년도 춘계공동학술대회 발표논문
    • /
    • pp.715-722
    • /
    • 2005
  • Disassembly scheduling is the problem of determining the quantity and timing of disassembling used products while satisfying the demand of their parts or components over a planning horizon. The case of single product type with assembly structure is considered for the objective of minimizing the sum of disassembly operation and inventory holding costs. In particular, the resource capacity constraint is explicitly considered. The problem is formulated as an integer programming model, and a two-stage heuristic with construction and improvement algorithms is suggested in this paper. To show the performance of the heuristic, computational experiments are done on a number of randomly generated problems, and the test results show that the algorithm can give near optimal solutions within a very short amount of computation time.

  • PDF

Scheduling of Three-Operation Jobs in a Two-Machine Flow Shop with mean flow time measure

  • Ha, Hee-Jin;Sung, Chang-Sup
    • 한국경영과학회:학술대회논문집
    • /
    • 한국경영과학회 2006년도 추계학술대회
    • /
    • pp.138-141
    • /
    • 2006
  • This paper considers a two-machine flow-shop scheduling problem for minimizing mean flow time. Each job has three non-preemptive operations, where the first and third operations must be Processed on the first and second machines, respectively, but the second operation can be processed on either machine. A lower bound based on SPT rule is derived, which is then used to develop a branch-and-bound algorithm. Also, an efficient simple heuristic algorithm is developed to generate a near-optimal schedule. Numerical experiments are performed to evaluate the performances of the proposed branch-and-bound and the heuristic algorithm

  • PDF

Greedy Heuristic기법과 열 제조에 의한 관광버스 배차방법 (A Tour Bus Scheduling Method by Greedy Heuristic and Column Generation Techniques)

  • 박순달;장병만
    • 한국국방경영분석학회지
    • /
    • 제13권1호
    • /
    • pp.101-115
    • /
    • 1987
  • This paper presents an optimization based heuristic algorithm for a tour bus scheduling problem where buses consist of various kinds of sightseeing and commutation services. First, this algorithm transforms the prolem into a vehicle routing problem on whose nodes denote trips and arcs denote connections between trips. Second, a greedy heuritic routing technique is applied to find a good feasible bus-route set. Then the greedy feasible solution is improved by the simplex method using column generation technique. The algorithm provides a better near-optimal solution which gives much reductions in the total tour distance and the number of tour buses.

  • PDF

대체 공정을 도입한 유전 알고리즘 응용의 작업 일정 계획 (A Genetic Algorithm Approach to Job Shop Scheduling Considering Alternative Process Plans)

  • 박지형;최회련;김영휘
    • 대한산업공학회지
    • /
    • 제24권4호
    • /
    • pp.551-558
    • /
    • 1998
  • In this paper, a job shop scheduling system is developed which can cope with the changes of shop floor status with flexibility. This system suggests near optimal sequence of operations by using Genetic Algorithm which considers alternative process plans. The Genetic Algorithm proposed in this paper has some characteristics. The mutation rate is differentiated in order to enhance the chance to escape a local optimum and to assure the global optimum. And it employs the double gene structure to easily make the modeling of the shop floor. Finally, the quality of its solution and the computational time are examined in comparison with the method of a Simulated Annealing.

  • PDF

Implementation of Digital Filters on Pipelined Processor with Multiple Accumulators and Internal Datapaths

  • Hong, Chun-Pyo
    • 한국산업정보학회논문지
    • /
    • 제4권2호
    • /
    • pp.44-50
    • /
    • 1999
  • 본 논문은 순환이동불변 플로우 그래프로 표시된 디지털 필터를 여러 개의 누산기 및 내부 데이터패스를 가진 파이프라인 프로세서에 최적으로 구현할 수 있는 기법에 대하여 기술하였다. 이와 관련하여 본 논문에서는 상용의 DSP 프로세서를 이용하여 다중프로세서를 구성했을 때를 고려한 스케쥴링 기법을 개발하였으며, 연구 결과는 다음의 세 가지로 요약할 수 있다. 첫째, 상용 DSP프로세서의 구조와 유사한 n개의 누산기와 3 개의 내부 데이터패스를 가지는 파이프라인 프로세서의 모델을 제시하였다. 둘째, 주어진 구조를 가지는 시스템에 순환이동불변 플로우 그래프로 표시된 디지털 필터를 구현하고자 할 때 얻을 수 있는 최소 반복 주기 및 간단한 스케쥴링 모델을 구했으며, 제약조건을 부여한 깊이 탐색기법에 바탕을 둔 최적의 스케쥴링 기법을 개발하였다. 마지막으로 본 연구에서 개발된 스케쥴러를 이용하여 잘 알려진 디지털 필터에 대하여 성능 시험을 한 결과 대부분의 경우 이론적으로 얻을 수 있는 최소의 반복 주기를 만족시켜주는 스케쥴링 결과를 얻을 수 있음을 확인하였다.

  • PDF

조선소의 메가블록 조립작업장을 위한 공간계획알고리즘 개발 (Spatial Scheduling for Mega-block Assembly Yard in Shipbuilding Company)

  • 고시근;장정희;최대원;우상복
    • 산업공학
    • /
    • 제24권1호
    • /
    • pp.78-86
    • /
    • 2011
  • To mitigate space restriction and to raise productivity, some shipbuilding companies use floating-docks on the sea instead of dry-docks on the land. In that case, a floating-crane that can lift very heavy objects (up to 3,600 tons) is used to handle the blocks which are the basic units in shipbuilding processes, and so, very large blocks (these are called the mega-blocks) can be used to build a ship. But, because these mega-blocks can be made only in the area near the floating-dock and beside the sea, the space is very important resource for the process. Therefore, our problem is to make an efficient spatial schedule for the mega-block assembly yard. First of all, we formulate this situation into a mathematical model and find optimal solution for a small problem using a commercial optimization software. But, the software could not give optimal solutions for practical sized problems in a reasonable time, and so we propose a GA-based heuristic algorithm. Through a numerical experiment, finally, we show that the spatial scheduling algorithm can provide a very good performance.

공구유연성과 공구관련제약을 고려한 통합공정일정계획을 위한 유전알고리즘 (An Improved Genetic Algorithm for Integrated Planning and Scheduling Algorithm Considering Tool Flexibility and Tool Constraints)

  • 김영남;하정훈
    • 산업경영시스템학회지
    • /
    • 제40권2호
    • /
    • pp.111-120
    • /
    • 2017
  • This paper proposes an improved standard genetic algorithm (GA) of making a near optimal schedule for integrated process planning and scheduling problem (IPPS) considering tool flexibility and tool related constraints. Process planning involves the selection of operations and the allocation of resources. Scheduling, meanwhile, determines the sequence order in which operations are executed on each machine. Due to the high degree of complexity, traditionally, a sequential approach has been preferred, which determines process planning firstly and then performs scheduling independently based on the results. The two sub-problems, however, are complicatedly interrelated to each other, so the IPPS tend to solve the two problems simultaneously. Although many studies for IPPS have been conducted in the past, tool flexibility and capacity constraints are rarely considered. Various meta-heuristics, especially GA, have been applied for IPPS, but the performance is yet satisfactory. To improve solution quality against computation time in GA, we adopted three methods. First, we used a random circular queue during generation of an initial population. It can provide sufficient diversity of individuals at the beginning of GA. Second, we adopted an inferior selection to choose the parents for the crossover and mutation operations. It helps to maintain exploitation capability throughout the evolution process. Third, we employed a modification of the hybrid scheduling algorithm to decode the chromosome of the individual into a schedule, which can generate an active and non-delay schedule. The experimental results show that our proposed algorithm is superior to the current best evolutionary algorithms at most benchmark problems.

A Looping Population Learning Algorithm for the Makespan/Resource Trade-offs Project Scheduling

  • Fang, Ying-Chieh;Chyu, Chiuh-Cheng
    • Industrial Engineering and Management Systems
    • /
    • 제8권3호
    • /
    • pp.171-180
    • /
    • 2009
  • Population learning algorithm (PLA) is a population-based method that was inspired by the similarities to the phenomenon of social education process in which a diminishing number of individuals enter an increasing number of learning stages. The study aims to develop a framework that repeatedly applying the PLA to solve the discrete resource constrained project scheduling problem with two objectives: minimizing project makespan and renewable resource availability, which are two most common concerns of management when a project is being executed. The PLA looping framework will provide a number of near Pareto optimal schedules for the management to make a choice. Different improvement schemes and learning procedures are applied at different stages of the process. The process gradually becomes more and more sophisticated and time consuming as there are less and less individuals to be taught. An experiment with ProGen generated instances was conducted, and the results demonstrated that the looping framework using PLA outperforms those using genetic local search, particle swarm optimization with local search, scatter search, as well as biased sampling multi-pass algorithm, in terms of several performance measures of proximity. However, the diversity using spread metric does not reveal any significant difference between these five looping algorithms.

Utility Bounds of Joint Congestion and Medium Access Control for CSMA based Wireless Networks

  • Wang, Tao;Yao, Zheng;Zhang, Baoxian;Li, Cheng
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제11권1호
    • /
    • pp.193-214
    • /
    • 2017
  • In this paper, we study the problem of network utility maximization in a CSMA based multi-hop wireless network. Existing work in this aspect typically adopted continuous time Markov model for performance modelling, which fails to consider the channel conflict impact in actual CSMA networks. To maximize the utility of a CSMA based wireless network with channel conflict, in this paper, we first model its weighted network capacity (i.e., network capacity weighted by link queue length) and then propose a distributed link scheduling algorithm, called CSMA based Maximal-Weight Scheduling (C-MWS), to maximize the weighted network capacity. We derive the upper and lower bounds of network utility based on C-MWS. The derived bounds can help us to tune the C-MWS parameters for C-MWS to work in a distributed wireless network. Simulation results show that the joint optimization based on C-MWS can achieve near-optimal network utility when appropriate algorithm parameters are chosen and also show that the derived utility upper bound is very tight.