• Title/Summary/Keyword: Non-preemptive

Search Result 70, Processing Time 0.019 seconds

An analysis of M/M/2 system with restriction to the number of servers for each customer class (각 고객 class 별 서버의 수에 제한이 있는 M/M/2 대기행렬모형 분석)

  • Jung Jae Ho;Hur Sun
    • Proceedings of the Society of Korea Industrial and System Engineering Conference
    • /
    • 2002.05a
    • /
    • pp.133-138
    • /
    • 2002
  • In this paper, we model a two-server queueing system with priority, to which we put a restriction of the number of servers for each customer class. A group of customers is divided into two different classes. The class 1 customers has non -preemptive priority over class 2 customers. We use the method of PGF depending on the state of server We find the PGF of the number of customers in queue, server utilization, mean queue length and mean waiting time for each class of customers.

  • PDF

M/M/2 system with two customer classes and exclusive server (전용서버가 있는 이계층고객 M/M/2 대기모형)

  • Jung, Jae-Ho;Hur, Sun
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.25 no.5
    • /
    • pp.31-38
    • /
    • 2002
  • In this paper, we model a two-server queueing system with priority, to which we put a restriction on the number of servers for each customer class. customers are divided into two different classes. Class 1 customers have non-preemptive priority over class 2 customers. They are served by both servers when available but class 2 customers are served only by a designated server. We use a method of generating function depending on the state of servers. We find the generating function of the number of customers in queue, server utilization, mean queue length and mean waiting time for each class of customers.

A Non-preemptive Priority 2-Class MAP/G/1 Queue with Individual Thresholds (다중 임계점을 고려한 비축출형 우선순위 2-계층 MAP/G/1 대기행렬모형)

  • Seo, Won-Ju;Lee, Ho-U
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2005.05a
    • /
    • pp.866-872
    • /
    • 2005
  • 본 연구는 비축출형 우선순위 2-계층 대기행렬을 다룬다. 각 계층별 고객들은 마코비안 도착과정(Markovian arrival process, MAP)에 의하여 시스템에 도착하고, 각 계층마다 고유의 임계점을 갖는다. 시스템 내에 고객들이 존재하지 않으면 서어버는 유휴해지고 어느 계층이든지 상관없이 계층에 부여된 임계점에 먼저 도달하면 서어버는 서비스를 시작한다. 우선순위가 높은 고객들을 먼저 서비스하는 비축출형 우선순위 서비스규칙을 따른다. 본 연구에서는 각 계층별 고객들의 대기시간분포에 대한 라플라스(Laplace-Stieltjes) 변환과 평균 대기시간을 유도한다.

  • PDF

Agent-based Mobile Robotic Cell Using Object Oriented & Queuing Petri Net Methods in Distribution Manufacturing System

  • Yoo, Wang-Jin;Cho, Sung-Bin
    • Journal of Korean Society for Quality Management
    • /
    • v.31 no.3
    • /
    • pp.114-125
    • /
    • 2003
  • In this paper, we deal with the problem of modeling of agent-based robot manufacturing cell. Its role is becoming increasingly important in automated manufacturing systems. For Object Oriented & Queueing Petri Nets (OO&QPNs), an extended formalism for the combined quantitative and qualitative analysis of different systems is used for structure and performance analysis of mobile robotic cell. In the case study, the OO&QPN model of a mobile robotic cell is represented and analyzed, considering multi-class parts, non-preemptive priority and alternative routing. Finally, the comparison of performance values between Shortest Process Time (SPT) rule and First Come First Serve (FCFS) rule is suggested. In general, SPT rule is most suitable for parts that have shorter processing time than others.

A Genetic Algorithm for Single Machine Scheduling with Unequal Release Dates and Due Dates (상이한 납기와 도착시간을 갖는 단일기계 일정계획을 위한 유전 알고리즘 설계)

  • 이동현;이경근;김재균;박창권;장길상
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.24 no.3
    • /
    • pp.73-82
    • /
    • 1999
  • In this paper, we address a single machine non-preemptive n-job scheduling problem to minimize the sum of earliness and tardiness with different release times and due dates. To solve the problem, we propose a genetic algorithm with new crossover and mutation operators to find the job sequencing. For the proposed genetic algorithm, the optimal pair of crossover and mutation rates is investigated. To illustrate the suitability of genetic algorithm, solutions of genetic algorithm are compared with solutions of exhaustive enumeration method in small size problems and tabu search method in large size problems. Computational results demonstrate that the proposed genetic algorithm provides the near-optimal job sequencing in the real world problem.

  • PDF

A Heuristic for parallel Machine Scheduling Depending on Job Characteristics (작업의 특성에 종속되는 병렬기계의 일정계획을 위한 발견적 기법)

  • 이동현;이경근;김재균;박창권;장길상
    • Korean Management Science Review
    • /
    • v.17 no.1
    • /
    • pp.41-54
    • /
    • 2000
  • in the real world situations that some jobs need be processed only on certain limited machines frequently occur due to the capacity restrictions of machines such as tools fixtures or material handling equipment. In this paper we consider n-job non-preemptive and m parallel machines scheduling problem having two machines group. The objective function is to minimize the sum of earliness and tardiness with different release times and due dates. The problem is formulated as a mixed integer programming problem. The problem is proved to be Np-complete. Thus a heuristic is developed to solve this problem. To illustrate its suitability and efficiency a proposed heuristic is compared with a genetic algorithm and tabu search for a large number of randomly generated test problems in ship engine assembly shop. Through the experimental results it is showed that the proposed algorithm yields good solutions efficiently.

  • PDF

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

  • Ha, Hee-Jin;Sung, Chang-Sup
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2006.11a
    • /
    • 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

A performance analysis of AS/RS with single and dual commands (단일 및 이중명령을 수행하는 자동창고 시스템의 성능분석)

  • Nam Jin-Gyu;Hur Sun;Jeong Seok-Yun;Kim Jeong-Kee
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.27 no.3
    • /
    • pp.26-30
    • /
    • 2004
  • We consider an AS/RS(Automated Storage/ Retrieval System) which performs both of single and dual commands. The service times of single and dual commands are assumed to be differently distributed. Steady-state probabilities at the service completion epochs are calculated. Then, we transform the arrival rates of storage and retrieval commands into those of single and dual commands. Using this, we propose a non-preemptive queueing model with priority for the performance analysis of an AS/RS, and obtain approximated means of queue lengths and waiting times.

A Heuristic for Parallel Machine Scheduling with Due Dates and Ready Times (납기와 조립가능 시점을 고려한 병렬기계의 스케쥴링을 위한 발견적 해법)

  • 이동현;이경근;김재균;박창권;장길상
    • Journal of the Korean Operations Research and Management Science Society
    • /
    • v.25 no.2
    • /
    • pp.47-57
    • /
    • 2000
  • In this paper we consider an n-job non-preemptive and identical parallel machine scheduling problem of minimizing the sum of earliness and tardiness with different release times and due dates. In the real world this problem is more realistic than the problems that release times equal to zero or due dates are common. The problem is proved to be NP-complete. Thus a heuristic is developed to solve this problem To illustrate its suitability a proposed heuristic is compared with a genetic algorithm for a large number of randomly generated test problems. Computational results show the effectiveness and efficiency of proposed heuristic. In summary the proposed heuristic provides good solutions than genetic algorithm when the problem size is large.

  • PDF

A Study on the Congestion Control in the Integrated Heterogeneous Traffic Multiplexer (이종 트래픽 다중 처리 시스템의 폭주제어에 관한 연구)

  • Hong, Seung-Back;Shim, Cheul;Park, Mig-non;Lee, Sang-Bae
    • Journal of the Korean Institute of Telematics and Electronics B
    • /
    • v.28B no.10
    • /
    • pp.790-798
    • /
    • 1991
  • The congestion control methods of an integrated heterogeneous traffic multiplexer are studied. The real-time traffics have preemptive priority over nonreal-time traffics in capturing the common output link. Also real-time traffics are transmitted with bandwidth reduction when the nonreal-time traffics are over the buffer threshold. The proposed model formulated the system as a continous time Markov process and is analysed using matrix equation. Time delay and average number of used channel are applied for performance parameters. In this study, a new control method with the sizable buffer threshold is introduced and the optimal congestion control can be obtained.

  • PDF