Technical Note

Journal of Simulation (2008) 2, 61–65. doi:10.1057/palgrave.jos.4250034

Bounds for simulation

N M van Dijk1 and E van der Sluis1

1University of Amsterdam, Amsterdam, The Netherlands

Correspondence: E van der Sluis, Faculty of Economics and Business, Roetersstraat 11, University of Amsterdam, NL-1018 WB, Amsterdam, The Netherlands. E-mail: h.j.vandersluis@uva.nl

Received 22 September 2006; Accepted 23 October 2007.

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Abstract

This note is concerned with stochastic product line structures. It aims to promote that and how an analytic approach, known in the literature, can also be fruitful for the simulation of such structures. This approach is based on the modification of the system of interest so as to meet simple in=out principles. These principles, which can be checked at intuitive basis, will guarantee simple analytic, so-called product form, expressions for the steady state distribution. These, in turn, will generally lead to performance (eg delay, throughput or loss probability) bounds. The approach can be useful for the simulation of these structures such as for:

  • numerical purposes (orders and bounds);
  • testing (verification/validation) and
  • insights (robustness/optimization).

Keywords:

finite assembly lines, loss probability, product-form, throughput, bounds