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  • 1
    ISSN: 0144-3577
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Economics
    Notes: Retailers receiving items from a manufacturer carry inventory to meet customer demand. As items are sold, a retailer orders new items to replenish the inventory. Once an order is placed, there is a time taken for the items to be delivered to the retailer. This time is the manufacturing response time. It includes processing, production, and delivery times. These different components of time can result in response times that are long and uncertain. This paper develops a queueing model for analysing how manufacturing response time affects the inventory needed at retailers to meet demand. The model accounts for variability in response times and allows for products to be delivered to a retailer in a different sequence than they were ordered. Simple equations are derived for the average inventory in terms of demand and response time parameters. The equations show how shortening average response time can substantially reduce retailer inventory.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Queueing systems 6 (1990), S. 137-154 
    ISSN: 1572-9443
    Keywords: Polling ; moment expressions ; generalization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This paper examines the properties of single server queueing systems with customers of several types, where the server rotates its effort among the customer classes and serves all the customers that have accumulated for each class before moving on to the next. The paper shows that expressions for the first two moments of the queue lengths, and for the mean waiting times, can be developed from two simple properties of the arrival and service processes. The properties, which include existing models as special cases, seem plausible descriptors of the complex arrival and service processes that arise in the transportation field.
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  • 3
    ISSN: 1572-9443
    Keywords: Infinite server ; general arrivals ; generalized services
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Motivated by a container storage problem at seaports, this paper examines the infinite-server queueing model with a (second order) stationary but arbitrarily correlated arrival process. It starts with a description of the application context, including an explanation of why non-standard inputs and service times arise in certain container storage problems. As further illustration, formulas characterizing the input and service processes for a particular situation are then presented and justified, together with the simple container accumulation variance formula that follows from the general results derived later. The paper then describes the general results. After reviewing the properties of a general arrival process, and based on minimal assumptions, it presents exact expressions for the variance of the number of customers in the system. (The expression for the mean is already well known.) Expressions are first derived for general independent service times and then for more general service processes that are of importance in port applications.
    Type of Medium: Electronic Resource
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