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  • 1
    Title: Stochastic modeling and analysis of manufacturing systems
    Contributer: Yao, David D.
    Publisher: Berlin u.a. :Springer,
    Year of publication: 1994
    Pages: 360 S.
    Series Statement: Springer series in operations research
    Type of Medium: Book
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Discrete event dynamic systems 4 (1994), S. 409-411 
    ISSN: 1573-7594
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 100 (1999), S. 453-456 
    ISSN: 1573-2878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Annals of operations research 15 (1988), S. 155-167 
    ISSN: 1572-9338
    Keywords: Multi-cell manufacturing system ; joint setup ; stochastic convexity ; birth processes ; marginal allocation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract Consider a manufacturing system consisting of multiple cells; each cell processes a certain type of part family. For such systems, we study the problem of optimally allocating a joint setup among these cells. The production process of each cell is modelled by a birth process. Certain monotonicity properties of these birth process are established and used to show that the efficient discrete marginal allocation approach of Fox [1] can be applied here.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    International journal of flexible manufacturing systems 1 (1989), S. 347-356 
    ISSN: 1572-9370
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Motivated by a layout design problem in the electronics industry, we study in this article the allocation of buffer space among a set of cells. Each cell processes a given part family and has its own revenue-cost structure. The objective of the optimal allocation is to maximize the net profit function (total production profits minus total buffer allocation costs). According to the flow pattern of jobs, the cells are categorized into two types. A type 1 cell is modeled as a Jackson network; a type 2 cell is modeled as an ordered-entry system with heterogeneous servers. Both models have finite waiting room, due to the buffer capacity allocated to the cells. We show that under quite general conditions, the production rate of each cell of either type is an incresing and concave function of its buffer allocation. Exploiting this property, a marginal allocation scheme efficiently solves the optimal buffer allocation problem under increasing concave production profits and convex buffer space costs.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Queueing systems 18 (1994), S. 301-332 
    ISSN: 1572-9443
    Keywords: Dynamic scheduling ; stochastic control ; multiclass queueing networks
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Consider a two-station queueing network with two types of jobs: type 1 jobs visit station 1 only, while type 2 jobs visit both stations in sequence. Each station has a single server. Arrival and service processes are modeled as counting processes with controllable stochastic intensities. The problem is to control the arrival and service processes, and in particular to schedule the server in station 1 among the two job types, in order to minimize a discounted cost function over an infinite time horizon. Using a stochastic intensity control approach, we establish the optimality of a specific stationary policy, and show that its value function satisfies certain properties, which lead to a switching-curve structure. We further classify the problem into six parametric cases. Based on the structural properties of the stationary policy, we establish the optimality of some simple priority rules for three of the six cases, and develop heuristic policies for the other three cases.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Queueing systems 24 (1996), S. 59-82 
    ISSN: 1572-9443
    Keywords: tandem queues ; semi-Markov decision programming ; quality control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract We study the coordination of production and quality control in a tandem-queue system. There are two stages, with a single server at stage one that can engage in processing an item, or inspecting the produced item, or staying idle; whereas the second stage represents the aggregate of the rest of the production facility. We focus on the optimal control of the first stage, where both the production and inspection times follow general distributions. We formulate a semi-Markov decision program with a long-run average objective, and derive the stationary optimal policy to control and coordinate the production, inspection, and idling processes. We show that there exists a threshold valuei –, such that under the optimal policy, once the threshold is reached, production should be suspended at the first stage; and this leads naturally toi –+1 being the required buffer capacity between the two stages.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Queueing systems 21 (1995), S. 449-475 
    ISSN: 1572-9443
    Keywords: Noncooperative games ; submodularity/supermodularity ; Nash equilibrium ; convergence ; control of queues
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract The notion ofS-modularity was developed by Glasserman and Yao [9] in the context of optimal control of queueing networks.S-modularity allows the objective function to be supermodular in some variables and submodular in others. It models both compatible and conflicting incentives, and hence conveniently accommodates a wide variety of applications. In this paper, we introduceS-modularity into the context ofn-player noncooperative games. This generalizes the well-known supermodular games of Topkis [22], where each player maximizes a supermodular payoff function (or equivalently, minimizes a submodular payoff function). We illustrate the theory through a variety of applications in queueing systems.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Queueing systems 2 (1987), S. 235-244 
    ISSN: 1572-9443
    Keywords: Queues with ordered entry ; sample path comparison ; point processes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract We study a queueing system withm exponential servers with distinct service rates. Jobs arrive at the system following an arbitrary point process. Arrived jobs receive service at the first unoccupied server (if any) according to an entry order π, which is a permutation of the integers 1, 2,...,m. The system has a finite buffer capacity. When the buffer limit is reached, arrivals will be blocked. Blocked jobs will either be lost or come back as New arrivals after a random travel time. We are concerned with the dynamic stochastic behavior of the system under different entry orders. A partial ordering is established among entry orders, and is shown to result in some quite strong orderings among the associated stochastic processes that reflect the congestion and the service characteristics of the system. The results developed here complement existing comparison results for queues with homogeneous servers, and can be applied to aid the design of conveyor and communication systems.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Annals of operations research 3 (1985), S. 153-167 
    ISSN: 1572-9338
    Keywords: Closed queueing network ; reversible Markov process ; state-dependent routing ; flexible manufacturing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract We develop a closed queueing network model for flexible manufacturing systems (FMSs), where parts routing follows a probabilistic shortest-queue (PSQ) scheme, i.e. parts are routed to the shortest queue (or the most empty station) with the highest probability. We allow limited local buffer at each work station. We prove that with the PSQ routing, the Markovian queue-length process satisfies time reversibility and has a product-form equilibrium distribution. An algorithm is developed to compute the solutions to the model. The model can be used as a performance evaluation tool to study FMSs.
    Type of Medium: Electronic Resource
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