• 제목/요약/키워드: Poisson process.

검색결과 484건 처리시간 0.024초

A New Approach to an Inventory with Constant Demand

  • Lee, Eui-Yong
    • Journal of the Korean Data and Information Science Society
    • /
    • 제19권4호
    • /
    • pp.1345-1352
    • /
    • 2008
  • An inventory with constant demand is studied. We adopt a renewal argument to obtain the transient and stationary distribution of the level of the inventory. We show that the stationary distribution can be also derived by making use of either the level crossing technique or the renewal reward theorem. After assigning several managing costs to the inventory, we calculate the long-run average cost per unit time. A numerical example is illustrated to show how we optimize the inventory.

  • PDF

Closest Open Location Rule in AS/RS

  • Park, Byung-Chun
    • 대한산업공학회지
    • /
    • 제13권2호
    • /
    • pp.87-95
    • /
    • 1987
  • This article deals with the expected travel distances under Closest Open Location rule. In this paper it is shown that uniform distribution assumption over a rack, which is usually used when modeling randomized storage, is not valid under COL rule, where arrival loads follow Poisson process and duration times are independent of each other and have finite mean. We give both exact and approximate methods for the expected travel distances. Warehouse sizing problem is also included.

  • PDF

Analysis of Feedback Queues with Priorities

  • Hong, Sung-Jo;Hirayama, Tetsuji
    • 대한산업공학회지
    • /
    • 제19권4호
    • /
    • pp.137-146
    • /
    • 1993
  • We consider single server feedback queueing systems with priorities. In the model, there are J stations and job classes. Jobs of class i arrive at station i according to a Poisson process, and have a general service time distribution. We derive the generating functions of the number of jobs at each station just after a busy period and the formula for the mean sojourn time that a specific tagged job spends at station j from its arrival to departure from the system.

  • PDF

A Single Server Queue Operating under N-Policy with a Renewal Break down Process

  • Chang-Ouk Kim;Kyung-Sik Kang
    • 산업경영시스템학회지
    • /
    • 제19권39호
    • /
    • pp.205-218
    • /
    • 1996
  • 본 연구는 써버의 고장을 허용하는 단수써버 Queueing 시스템의 확률적 모델을 제시한 것으로, 써버는 N 제어 정책에 의하여 작동되며, 도착은 Stationary compound poisson에 의하여 이루어지고, 서비스 시간에 대한 분포는 Erlang에 의하여 발생하며, 수리시간에 대한 분포는 평균이 일정한 분포에 의하여 생성되는 경우를 고려하였다. 또한 고장간격 시간은 일정한 평균을 가진 임의의 분포를 가진 Renewal process에 의한다고 가정하였고, 완료 시간의 개념은 재생과정의 적용방법에 의하여 유도할 수 있으며, 시스템 크기의 확율 생성 함수의 값이 구해진다는 것을 제시하였다.

  • PDF

극값분포 특성에 근거한 소프트웨어 최적 방출시기에 관한 비교 (The Comparative Study of Software Optimal Release Time Based on Extreme Distribution Property)

  • 김희철
    • 전기전자학회논문지
    • /
    • 제15권1호
    • /
    • pp.43-48
    • /
    • 2011
  • 본 연구에서는 소프트웨어 제품을 개발하여 테스팅을 거친 후 사용자에게 인도하는 시기를 결정하는 방출문제에 대하여 연구되었다. 무한고장수를 가진 비동질적인 포아송 과정에 기초하고 수명분포는 최소 및 최대값을 적합 시키는데 효율성을 가진 극값 분포를 이용한 최적 방출시기에 관한 문제를 제시하여 소프트웨어 요구 신뢰도를 만족시키고 소프트웨어 개발 및 유지 총비용을 최소화 시키는 최적 소프트웨어 방출 정책에 대하여 논의 되었다. 본 논문의 수치적인 예에서는 고장 간격 시간 자료를 적용하여 기존의 로그 포아송 실행시간 모형과 로그 파우어 모형의 대안으로서 극값 분포모형이 또 하나의 대안이 될 수 있음을 입증하였다.

로그-로지스틱 분포에 근거한 소프트웨어 고장 시간 절단 모형에 관한 비교연구 (The Comparative Study for Truncated Software Reliability Growth Model based on Log-Logistic Distribution)

  • 김희철;신현철
    • 융합보안논문지
    • /
    • 제11권4호
    • /
    • pp.85-91
    • /
    • 2011
  • 소프트웨어 시스템의 대규모 응용 프로그램으로 인해, 소프트웨어 신뢰성은 소프트웨어 개발에서 중요한 역할올 담당하고 있다. 본 연구에서는 소프트웨어 신뢰성장 모형 중에서 고장 시간 절단 모형인 로그 로지스틱 분포에 근거한 모형이 제안되었다 고정시간에 따른 강도함수, 평균값함수, 신뢰도를 추정하였고 모수 추정은 최우 추정 법을 사용하였다. 실중분석에서는 이 분야에서 기본 모형인 포아송 실행 시간 모형과 비교 분석하였다. 그 결과 로그-로지스틱 모형이 기존의 로그 포아송 실행 시간 모형보다 신뢰성 측면에서 더 효율적이기 때문에 이 분야에서 기존 모형의 대안으로 로그-로지스틱모형을 사용할 수 있음을 확인 할 수 있었다.

복합포아송 수요와 Coxian 가공시간을 갖는 CONWIP 시스템의 성능평가 (Performance Evaluation of a CONWIP System with Compound Poisson Demands and Coxian Processing Times)

  • 박찬우;이효성
    • 한국경영과학회지
    • /
    • 제31권3호
    • /
    • pp.63-79
    • /
    • 2006
  • In this study we consider a CONWIP system in which the processing times at each station follow a Coxian distribution and the demands for the finished products arrive according to a compound Poisson process. The demands that are not satisfied immediately are either backordered or lost according to the number of demands that exist at their arrival Instants. For this system we develop an approximation method to calculate performance measures such as steady state probabilities of the number of parts at each station, proportion of lost demands and the mean number of backordered demands. For the analysis of the proposed CONWIP system, we model the CONWIP system as a closed queueing network with a synchronization station and analyze the closed queueing network using a product-form approximation method. A recursive technique is used to solve the subnetwork in the application of the product-form approximation method. To test the accuracy of the approximation method, the results obtained from the approximation method are compared with those obtained by simulation. Comparisons with simulation show that the approximation method provides fairly good results.

Economical selection of optimum pressurized hollow fiber membrane modules in water purification system using RbLCC

  • Lee, Chul-sung;Nam, Young-wook;Kim, Doo-il
    • Membrane and Water Treatment
    • /
    • 제8권2호
    • /
    • pp.137-147
    • /
    • 2017
  • A water treatment utility in South Korea operates a large system of pressurized hollow fiber membrane (PHFM) modules. The optimal selection of membrane module for the full scale plant was critical issue and carried out using Risk-based Life Cycle Cost (RbLCC) analysis based on the historical data of operation and maintenance. The RbLCC analysis was used in the process of decision-making for replacing aged modules. The initial purchasing cost and the value at risk during operation were considered together. The failure of modules occurs stochastically depending on the physical deterioration with usage over time. The life span of module was used as a factor for the failure of Poisson's probability model, which was used to obtain the probability of failure during the operation. The RbLCC was calculated by combining the initial cost and the value at risk without its warranty term. Additionally, the properties of membrane were considered to select the optimum product. Results showed that the module's life span in the system was ten years (120 month) with safety factor. The optimum product was selected from six candidates membrane for a full scale water treatment facility. This method could be used to make the optimum and rational decision for the operation of membrane water purification facility.

소듐 이온전지용 주석 음극의 안정화를 위한 PVdF 옥세틱 구조의 영향 (Effect of Auxetic Structure of PVdF on Tin Anode Stability for Na-ion Batteries)

  • 박진수
    • 한국분말재료학회지
    • /
    • 제25권6호
    • /
    • pp.507-513
    • /
    • 2018
  • This study investigates the viability of using a Na-ion battery with a tin(Sn) anode to mitigate the vulnerability caused by volume changes during discharge and charge cycling. In general, the volume changes of carbon material do not cause any instability during intercalation into its layer structure. Sn has a high theoretical capacity of $847mAh\;g^{-1}$. However, it expands dramatically in the discharge process by alloying Na-Sn, placing the electrode under massive internal stress, and particularly straining the binder over the elastic limit. The repeating strain results in loss of active material and its electric contact, as well as capacity decrease. This paper expands the scope of fabrication of Na-ion batteries with Sn by fabricating the binder as an auxetic structure with a unique feature: a negative Poisson ratio (NPR), which increases the resistance to internal stress in the Na-Sn alloying/de-alloying processes. Electrochemical tests and micrograph images of auxetic and common binders are used to compare dimensional and structural differences. Results show that the capacity of an auxetic-structured Sn electrode is much larger than that of a Sn electrode with a common-structured binder. Furthermore, using an auxetic structured Sn electrode, stability in discharge and charge cycling is obtained.

Assessment of negative Poisson's ratio effect on thermal post-buckling of FG-GRMMC laminated cylindrical panels

  • Shen, Hui-Shen;Xiang, Y.
    • Advances in nano research
    • /
    • 제10권5호
    • /
    • pp.423-435
    • /
    • 2021
  • This paper examines the thermal post-buckling behaviors of graphene-reinforced metal matrix composite (GRMMC) laminated cylindrical panels which possess in-plane negative Poisson's ratio (NPR) and rest on an elastic foundation. A panel consists of GRMMC layers of piece-wise varying graphene volume fractions to obtain functionally graded (FG) patterns. Based on the MD simulation results, the GRMMCs exhibit in-plane NPR as well as temperature-dependent material properties. The governing equations for the thermal post-buckling of panels are based on the Reddy's third order shear deformation shell theory. The von Karman nonlinear strain-displacement relationship and the elastic foundation are also included. The nonlinear partial differential equations for GRMMC laminated cylindrical panels are solved by means of a singular perturbation technique in associate with a two-step perturbation approach and in the solution process the boundary layer effect is considered. The results of numerical investigations reveal that the thermal post-buckling strength for (0/90)5T GRMMC laminated cylindrical panels can be enhanced with an FG-X pattern. The thermal post-buckling load-deflection curve of 6-layer (0/90/0)S and (0/90)3T panels of FG-X pattern are higher than those of 10-layer (0/90/0/90/0)S and (0/90)5T panels of FG-X pattern.