• Title/Summary/Keyword: Customer Arrival Model

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Demand Variability Impact on the Replenishment Policy in a Two-Echelon Supply Chain Model (두 계층 공급사슬 모형에서 발주정책에 대한 수요 변동성 영향)

  • Kim Eungab
    • Journal of the Korean Operations Research and Management Science Society
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    • v.29 no.3
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    • pp.111-127
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    • 2004
  • We consider a supply chain model with a make-to-order production facility and a single supplier. The model we treat here is a special case of a two-echelon inventory model. Unlike classical two-echelon systems, the demand process at the supplier is affected by production process at the production facility as well as customer order arrival process. In this paper, we address that how the demand variability impacts on the optimal replenishment policy. To this end, we incorporate Erlang and phase-type demand distributions into the model. Formulating the model as a Markov decision problem, we investigate the structure of the optimal replenishment policy. We also implement a sensitivity analysis on the optimal policy and establish its monotonicity with respect to system cost parameters.

Order Based Performance Evaluation of a CONWIP System with Compound Poisson Demands (복합포아송 수요를 가지는 CONWIP 시스템에서 고객집단의 성능평가)

  • Park Chan-U;Lee Hyo-Seong
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.10a
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    • pp.8-12
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    • 2004
  • 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 are backordered according to the number of demands that exist at their arrival instants. For this system we develop an approximation method to calculate order based performance measures such as the mean time of fulfilling a customer order and the mean number o: customer orders. 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. Numerical tests show that the approximation method provides fairly good estimation of the performance measures of interest.

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An Analysis of the Port Transportation System (항만운송시스템의 분석에 관한 연구)

  • 이철영;문성혁
    • Journal of the Korean Institute of Navigation
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    • v.7 no.1
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    • pp.1-32
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    • 1983
  • The delay due to congestion has recently attracted widespread attention with the analysis of over-all operation at the port. But, the complexity of the situation is evident in view of the large number of factors which impinge on the considerable end. Queueing theory is applicable to a large scale transportation system which is associated with arrivals of vessels in a large port. The attempt of this paper is to make an extensive analysis of the port transport system and its economic implications from the viewpoint that port is one of the physical distribution facilities and a kind of queueing system which includes ships and cargoes as port customer. By analyzing the real data on the Port of Pusan, it is known that this port can be represented as a set of multi-channel with identical setof Poisson arrival and Erlang service time, and also it is confirmed that the following formula is suitable to calculate the mean delay in this port, namely, $W_4={\frac{\rho}{\lambda(1-\rho)} {\frac{e_N(\rho{\cdot}N)}{D_{N-1}(\rho{\cdot}N)}$ where, ${\lambda}$: mean arrival rate $\mu$: mean servicing rate; N: number of servicing channel; ${\rho}$: utillization rate (${\lambda}/N{\mu}$) $e_N$: the Poisson function Coming to grips with the essentials of the cost of delay due to congestion, a simple ship journey cost model is adopted and the operating profit sensitivity to variation in port time is examined, and for purpose of a future development for port princing service the marginal cost is approximately calculated on the basis of queueing theory.

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An Analysis of a Multilayered Open Queueing Network with Population Constraint and Constraint and Constant Service Times (사용자수 제한을 갖는 개방형 다중계층구조의 대기행렬 네트워크 분석에 관한 연구)

  • Lee, Yeong
    • Journal of the Korean Operations Research and Management Science Society
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    • v.24 no.4
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    • pp.111-122
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    • 1999
  • In this paper, we consider a queueing network model. where the population constraint within each subnetwork is controlled by a semaphore queue. The total number of customers that may be present in the subnetwork can not exceed a given value. Each node has a constant service time and the arrival process to the queueing network is an arbitrary distribution. A major characteristics of this model is that the lower layer flow is halted by the state of higher layer. We present some properties that the inter-change of nodes does not make any difference to customer's waiting time in the queueing network under a certain condition. The queueing network can be transformed into a simplified queueing network. A dramatic simplification of the queueing network is shown. It is interesting to see how the simplification developed for sliding window flow control, can be applied to multi-layered queueing network.

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Development of a Stochastic Inventory System Model

  • Sung, Chang-Sup
    • Journal of Korean Institute of Industrial Engineers
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    • v.5 no.1
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    • pp.59-66
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    • 1979
  • The objective of this paper is to develop a stochastic inventory system model under the so-called continuous-review policy with a Poisson one-at-a-time demand process, iid customer inter-arrival times {Xi}, backorders allowed, and constant procurement lead time $\gamma$. The distributions of the so-called inventory position process {$IP_{(t-r)}$} and lead time demand process {$D_{(t-r,t)}$} are formulated in terms of cumulative demand by time t, {$N_t$}. Then, for the long-run expected average annual inventory cost expression, the "ensemble" average is estimated, where the cost variations for stock ordering, holding and backorders are considered stationary.

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The MMAP/M/c System with Heterogeneous Servers and Retrial

  • Kim Che Soong;Kim Ji Seung
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2004.04a
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    • pp.499-502
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    • 2004
  • Multi-server Markovian retrial model with heterogeneous servers is analyzed. Arriving customers constitute the MMAP(Marked Markovian Arrival Process). Distribution of the primary customers among the servers is performed randomly depending on the type of a customer and the number of the server. Customers from the orbit have the exponential service time distribution with a parameter depending on the server only. The choice of the server for a retrial is made randomly as well. Multidimensional continuous time Markov chain describing operation of the model is investigated by means of reducing to asymptotically quasi-toeplitz Markov chaius.

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Dimensioning leaky bucket parameters considering the cell delay variation (셀 지연 변이를 고려한 리키 버킷 계수 결정 방법)

  • 이준원;이병기
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.8
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    • pp.31-38
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    • 1995
  • In this paper, we consider the leaky bucket parameter dimensioning problem in the presence of the cell delay variation(CDV) which arises at the customer premises network dud to the multiplexing with other traffic streams. We consider an ATM multiplexer in which a single CBR stream and several heterogeneous VBR traffic streams are multiplexed. Choosing an MMPP model for the bursty traffic streams, we derive an (MMPP+DD)/D/1/K queueing model for the evaluation of the CDV experienced by the CBR stream. We first evaluate the equilibrium queue length distribution embedded at tagged-cell arrival-time instants, based on whcih we calcuate the inter-cell time distribution and the distribution kof the number of tagged-cell departures in an arbitrary interval. Then we apply the analysis to the dimensionging problem of the leaky bucket parameters, examining how the employed traffic model affects the determination of the bucket size. Through numerical examples, we confirm that the Poisson traffic model can underestimate the bucket size, thus causing a considerable blocking probability for compliant use cells while the MMPP model can optimally design the bucket size which keeps the blocking probability under the target value.

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A Study on the successful model of the e-business for management renovation (경영혁신을 이한 e-비즈니스의 성공모델에 대한 연구)

  • Jo, Jae-Wan
    • Journal of Digital Convergence
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    • v.4 no.2
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    • pp.109-126
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    • 2006
  • The United States Intel company and these enterprises which Andy Grove President talks exception are without coming out at the Internet enterprise and the hereafter 5 year back side separately it means the necessity which will write the word which is a Internet enterprise will lose. When that time about, it puts upper volume from the Internet territory which is will open the competition where the relation enterprises are keen the winner will be undertaken the existing enterprises and the place where it receives the footlights where the e-business is many in this recent times which it talks, the reason the whole world becomes connection with the Internet, the frame of the social whole changes and the arrival result completeness sincerity pursuit of information comes to be possible simultaneously, it is changing as the product army which is complicatedly diversified from the product army where the craving of the customer becomes simplification. The consequently quick doctor decision and efficient manufacturing environment construction are demanded and Product Life cycle becomes shortening, the e-Business from the digital management environment which changes suddenly the necessity is plentifully raising its head with plan of competitive power security of the enterprise and management renovation. Successful of the e-business model and failure instances there is a depth from the research which it sees and after trying to investigate, it originated to the advancement of digital environment the strategies and to sleep against the successful model of the e-business for a new management renovation presentation it tries it does.

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Ubiquitous Computing-Driven Business Models : An Analytical Structure & Empirical Validations (유비쿼터스 컴퓨팅 기반의 비즈니스 모델에 관한 연구 : 연구 분석 프레임워크 수립 및 실증 분석)

  • Hwang Kyung Tae;Shin Bongsik;Kim Kyoung-jae
    • Journal of Information Technology Applications and Management
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    • v.12 no.4
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    • pp.105-121
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    • 2005
  • Ubiquitous computing(UC) is an emerging paradigm. Its arrival as a mainstream is expected to trigger innovative UC-driven business models (UCBMs). Currently, there is no Parsimonious methodology to analyze and provide diagnostics for UCBMs. With this research, we propose a analytical architecture that enables the assessment of an UCBM in its structural strengths and weaknesses. With value logic as the cornerstone, the architecture is composed of value actors, value assets, value context, business value Propositions, customer value propositions, value creation logics, and value assumptions. Dimensional variables are initially Identified based on the review of business model literature. Then, their significance is empirically examined through 14 UCBM scenarios, and variables that are expected to Play an important role in the UCBM assessment are decided. Finally, by analyzing the scenarios in terms of the dimensional variables, we attempted to summarize general characteristics of emerging UCBMs.

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Analysis of an M/M/1 Queue with an Attached Continuous-type (s,S)-inventory ((s,S)-정책하의 연속형 내부재고를 갖는 M/M/1 대기행렬모형 분석)

  • Park, Jinsoo;Lee, Hyeon Geun;Kim, Jong Hyeon;Yun, Eun Hyeuk;Baek, Jung Woo
    • Journal of Korea Society of Industrial Information Systems
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    • v.23 no.5
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    • pp.19-32
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    • 2018
  • This study focuses on an M/M/1 queue with an attached continuous-type inventory. The customers arrive into the system according to the Poisson process, and are served in their arrival order; i.e., first-come-first-served. The service times are assumed to be independent and identically distributed exponential random variable. At a service completion epoch, the customer consumes a random amount of inventory. The inventory is controlled by the traditional (s, S)-inventory policy with a generally distributed lead time. A customer that arrives during a stock-out period assumed to be lost. For the number of customers and the inventory size, we derive a product-form stationary joint probability distribution and provide some numerical examples. Besides, an operational strategy for the inventory that minimizes the long-term cost will also be discussed.