Optimal Positioning of a Mobile Service Unit on a Line
In this paper we address the problem of locating a mobile response unit when demand is distributed according to a random variable on a line. Properties are proven which reduce the problem to locating a non-mobile facility, transforming the original optimization problem into an one-dimensional convex...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2002 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/107718 |
| Online Access: | https://hdl.handle.net/11441/107718 https://doi.org/10.1023/A:1020993417646 |
| Access Level: | Open access |
| Keyword: | location facilities planning and design stochastic location patrolling |
| Summary: | In this paper we address the problem of locating a mobile response unit when demand is distributed according to a random variable on a line. Properties are proven which reduce the problem to locating a non-mobile facility, transforming the original optimization problem into an one-dimensional convex program. In the special case of a discrete demand (a simple probability measure), an algorithm which runs in expected linear time is proposed. |
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