A Queueing Theoretic Analysis of Logistics Repair Models with Spare Units.
Abstract
In this study, the author considers simple logistics models in which he analyzes the analog of waiting time in queueing theory. The main model involves n operating units of equipment which fail randomly. Upon failure, each unit is sent to a repair station having s identical repairmen while it is replaced on a first-in-first-out basis by one of S spare units. The repair station repairs the failed units on a first-come-first-served basis and the repair times are independent identically distributed random variables. Repaired units are then placed into an inventory position. The waiting time of a unit is defined as the period of time elapsed since its failure until its replacement by a spare unit (zero waiting time) or, if no spare units currently are available, by a repaired unit (positive waiting time). This can also be viewed as the customer wait at an inventory point with a one-for-one ordering policy.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 16, 1974
- Accession Number
- ADA013083
Entities
People
- Francois Lureau
Organizations
- Stanford University