| EPSRC Reference: |
EP/C51436X/1 |
| Title: |
Location of Facilities under Congested Condtions |
| Principal Investigator: |
Boffey, Dr BT |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Liverpool |
| Scheme: |
Mathematics Small Grant PreFEC |
| Starts: |
13 December 2004 |
Ends: |
12 August 2006 |
Value (£): |
2,441
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| EPSRC Research Topic Classifications: |
| Mathematical Aspects of OR |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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A major part of Locational Analysis is concerned with siting a number of fixed (immobile) `centres' (called facilities) on an underlying transportation network. Typically, demand for the service offered is probabilistic and so, in the presence of limited resources, facilities can become congested at times of high demand. A bad locational pattern for the facilities can result in some facilities being very highly congested leading to excessive waiting for service or to considerable `lost' demand. The latter refers to the case in which little or no waiting for service is acceptable - even a small wait for critical medical treatment may be life threatening.Mathematical research on the location of immobile facilities subject to congestion is very new and relatively undeveloped. A recent review co-authored by the Principal Investigator identified two major gaps in the literature: (a) the service time distributions used have been too simplistic; (b) `loss' systems, in the sense indicated above, have not been treated.It is proposed to improve modelling by assuming the service process follows an Erlang distribution E,, r = 1,2,..., permitting better account to be taken of variability. The corresponding theory for loss systems will also be developed. Finally, the more general case of hierarchical systems with more than one type of facility will be considered.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.liv.ac.uk |