Economics at your fingertips  


M. Rumyantsev ()
Additional contact information
M. Rumyantsev: Head of the Department of Economic Cybernetics and Mathematics of Donetsk National Technical University

Economics of Development, 2016, vol. 78, issue 2, 56-62

Abstract: Four models of a flexible production system built on the basis of the queuing theory have been considered, this theory presenting the flexible production system itself as a single-channel queuing system with changeover and loss of requirements. It is assumed that the input of all four models of the flexible manufacturing system receives a Poisson flow of orders at a rate of λ > 0 per unit of time. The order processing takes place in the order they are received, and the order processing time obeys the exponential distribution law with the parameter μ > 0. The device has a feature consisting in the fact that having processed all the orders available in the system, in order to resume work, it needs readjustment aiming to prepare the equipment for completing a new batch of orders. For all models, it is assumed that the duration of the changeover has an exponential distribution with the parameter v > 0. For the systems described, characteristics have been found which are used to determine the system operation basic parameters, namely the probability of equipment being on changeover, the probability of receiving a denial for service and the average queue length. These characteristics can be used in solving the problem of optimal control of flexible manufacturing systems.

Keywords: flexible manufacturing system; appliance; turn; the input flow; the order processing time; changeover time; optimal characteristics. (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations: Track citations by RSS feed

Downloads: (external link)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link:

Access Statistics for this article

More articles in Economics of Development from Kharkiv National University of Economics
Bibliographic data for series maintained by Андрей Пилипенко ().

Page updated 2020-05-01
Handle: RePEc:nos:zodgwl:e162rum.pdf