An Extension to the Tactical Planning Model for a Job Shop: Continuous-Time Control
We develop an extension to the tactical planning model (TPM) for a job shop by the third author. The TPM is a discrete-time model in which all transitions occur at the start of each time period. The time period must be defined appropriately in order for the model to be meaningful. Each period must b...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
2004
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/7447 |
| _version_ | 1826198353718804480 |
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| author | Teo, Chee Chong Bhatnagar, Rohit Graves, Stephen C. |
| author_facet | Teo, Chee Chong Bhatnagar, Rohit Graves, Stephen C. |
| author_sort | Teo, Chee Chong |
| collection | MIT |
| description | We develop an extension to the tactical planning model (TPM) for a job shop by the third author. The TPM is a discrete-time model in which all transitions occur at the start of each time period. The time period must be defined appropriately in order for the model to be meaningful. Each period must be short enough so that a job is unlikely to travel through more than one station in one period. At the same time, the time period needs to be long enough to justify the assumptions of continuous workflow and Markovian job movements. We build an extension to the TPM that overcomes this restriction of period sizing by permitting production control over shorter time intervals. We achieve this by deriving a continuous-time linear control rule for a single station. We then determine the first two moments of the production level and queue length for the workstation. |
| first_indexed | 2024-09-23T11:03:31Z |
| format | Article |
| id | mit-1721.1/7447 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:03:31Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | mit-1721.1/74472019-04-11T02:45:30Z An Extension to the Tactical Planning Model for a Job Shop: Continuous-Time Control Teo, Chee Chong Bhatnagar, Rohit Graves, Stephen C. job shop tactical planning model moments of production quantities and queue lengths production smoothing We develop an extension to the tactical planning model (TPM) for a job shop by the third author. The TPM is a discrete-time model in which all transitions occur at the start of each time period. The time period must be defined appropriately in order for the model to be meaningful. Each period must be short enough so that a job is unlikely to travel through more than one station in one period. At the same time, the time period needs to be long enough to justify the assumptions of continuous workflow and Markovian job movements. We build an extension to the TPM that overcomes this restriction of period sizing by permitting production control over shorter time intervals. We achieve this by deriving a continuous-time linear control rule for a single station. We then determine the first two moments of the production level and queue length for the workstation. Singapore-MIT Alliance (SMA) 2004-12-14T19:26:53Z 2004-12-14T19:26:53Z 2005-01 Article http://hdl.handle.net/1721.1/7447 en Innovation in Manufacturing Systems and Technology (IMST); 232940 bytes application/pdf application/pdf |
| spellingShingle | job shop tactical planning model moments of production quantities and queue lengths production smoothing Teo, Chee Chong Bhatnagar, Rohit Graves, Stephen C. An Extension to the Tactical Planning Model for a Job Shop: Continuous-Time Control |
| title | An Extension to the Tactical Planning Model for a Job Shop: Continuous-Time Control |
| title_full | An Extension to the Tactical Planning Model for a Job Shop: Continuous-Time Control |
| title_fullStr | An Extension to the Tactical Planning Model for a Job Shop: Continuous-Time Control |
| title_full_unstemmed | An Extension to the Tactical Planning Model for a Job Shop: Continuous-Time Control |
| title_short | An Extension to the Tactical Planning Model for a Job Shop: Continuous-Time Control |
| title_sort | extension to the tactical planning model for a job shop continuous time control |
| topic | job shop tactical planning model moments of production quantities and queue lengths production smoothing |
| url | http://hdl.handle.net/1721.1/7447 |
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