A lost-sales production/inventory model with two discrete production modes
A discrete production/inventory model is considered in which batch orders for a single item arrive at a production facility according to a Poisson process. The items can be produced according to two production modes, regular mode or high speed mode. Changing production mode requires a setup time dur...
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| Veröffentlicht in: | Communications in statistics. Stochastic models 2000-01, Vol.16 (5), p.453-478 |
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| container_title | Communications in statistics. Stochastic models |
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| creator | Nobel, Rein D. Heeden, Mattijs van der |
| description | A discrete production/inventory model is considered in which batch orders for a single item arrive at a production facility according to a Poisson process. The items can be produced according to two production modes, regular mode or high speed mode. Changing production mode requires a setup time during which production is disabled. Demand that cannot be satisfied from stock is lost. To control this model with respect to a suitable cost criterion, two-level hysteretic switching strategies are considered. Using generally applicable methods, tractable expressions are obtained for the fraction of lost demand and the average inventory level, amongst others. In these methods an essential role is played by the discrete Fast Fourier Transform |
| doi_str_mv | 10.1080/15326340008807600 |
| format | Article |
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The items can be produced according to two production modes, regular mode or high speed mode. Changing production mode requires a setup time during which production is disabled. Demand that cannot be satisfied from stock is lost. To control this model with respect to a suitable cost criterion, two-level hysteretic switching strategies are considered. Using generally applicable methods, tractable expressions are obtained for the fraction of lost demand and the average inventory level, amongst others. 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In these methods an essential role is played by the discrete Fast Fourier Transform</description><subject>Applied sciences</subject><subject>compound Poisson demand</subject><subject>embedded Markov chain</subject><subject>Exact sciences and technology</subject><subject>Fast Fourier Transform</subject><subject>Inference from stochastic processes; time series analysis</subject><subject>Inventory control, production control. Distribution</subject><subject>lost-sales</subject><subject>Markov processes</subject><subject>Mathematics</subject><subject>Operational research and scientific management</subject><subject>Operational research. 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Distribution</topic><topic>lost-sales</topic><topic>Markov processes</topic><topic>Mathematics</topic><topic>Operational research and scientific management</topic><topic>Operational research. Management science</topic><topic>Probability and statistics</topic><topic>Probability theory and stochastic processes</topic><topic>production/inventory control</topic><topic>Sciences and techniques of general use</topic><topic>Statistics</topic><toplevel>online_resources</toplevel><creatorcontrib>Nobel, Rein D.</creatorcontrib><creatorcontrib>Heeden, Mattijs van der</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Communications in statistics. Stochastic models</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nobel, Rein D.</au><au>Heeden, Mattijs van der</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A lost-sales production/inventory model with two discrete production modes</atitle><jtitle>Communications in statistics. Stochastic models</jtitle><date>2000-01-01</date><risdate>2000</risdate><volume>16</volume><issue>5</issue><spage>453</spage><epage>478</epage><pages>453-478</pages><issn>0882-0287</issn><eissn>2332-4058</eissn><coden>CSSME8</coden><abstract>A discrete production/inventory model is considered in which batch orders for a single item arrive at a production facility according to a Poisson process. The items can be produced according to two production modes, regular mode or high speed mode. Changing production mode requires a setup time during which production is disabled. Demand that cannot be satisfied from stock is lost. To control this model with respect to a suitable cost criterion, two-level hysteretic switching strategies are considered. Using generally applicable methods, tractable expressions are obtained for the fraction of lost demand and the average inventory level, amongst others. In these methods an essential role is played by the discrete Fast Fourier Transform</abstract><cop>Monticello, NY</cop><pub>Marcel Dekker, Inc</pub><doi>10.1080/15326340008807600</doi><tpages>26</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0882-0287 |
| ispartof | Communications in statistics. Stochastic models, 2000-01, Vol.16 (5), p.453-478 |
| issn | 0882-0287 2332-4058 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_814677 |
| source | Taylor & Francis |
| subjects | Applied sciences compound Poisson demand embedded Markov chain Exact sciences and technology Fast Fourier Transform Inference from stochastic processes time series analysis Inventory control, production control. Distribution lost-sales Markov processes Mathematics Operational research and scientific management Operational research. Management science Probability and statistics Probability theory and stochastic processes production/inventory control Sciences and techniques of general use Statistics |
| title | A lost-sales production/inventory model with two discrete production modes |
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