 Single‐stage, multi‐product production/inventory systems with lost salesTayfur Altiok and Goang An Shiue Naval Research Logistics (NRL), 1995, vol. 42, issue 6, 889-913 Abstract: A production/inventory system consisting of a single processor producing three product types and a warehouse is considered. For each product type, the demand process is assumed to be Poisson and the processing time is phase‐type. Excess demand is lost. Products have a priority structure and the processor's attention is shared by all the products according to a switching rule. Production of a product continues until its target level is reached. Then, a switch‐over takes place if another product needs the processor's attention. A set‐up process takes place every time a switch‐over occurs. An (R, r) continuous‐review inventory control policy is used to start and stop the production of each product. The underlying Markov chain is studied and its steady‐state distribution is obtained recursively. Through the recursive procedure, the steady‐state balance equations to be dealt with are significantly reduced to a manageable set. The procedure is implemented on a supercomputer and examples are provided to show its efficiency and stability for a range of model parameters. We analyzed the joint behaviors of the inventory levels of the three products as their demand rates increase. Finally we introduced a cost minimizing objective function to guide design efforts. © 1995 John Wiley & Sons, Inc. Date: 1995 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:42:y:1995:i:6:p:889-913 Access Statistics for this article More articles in Naval Research Logistics (NRL) from John Wiley & Sons |
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