# Finite Interval Processes: Simulating Military Operations

### Robert Bryce

#### 2024

#### Abstract

We discuss extending Poisson point processes to finite interval processes, in the context of simulating military operations over time. Conceptually the extension is simple, points are extended to finite duration of length equal to the operations’ duration. We discuss effects of finite duration, namely lowering of set frequencies (and therefore artificially reduced expected demand) due to the extension of points to intervals—and its correction. The Canadian Armed Forces (CAF) has a Force Structure Readiness Assessment (FSRA+) Monte Carlo simulation tool that implements a finite interval process, and the results here offer insight on the approach.

Download#### Paper Citation

#### in Harvard Style

Bryce R. (2024). **Finite Interval Processes: Simulating Military Operations**. In *Proceedings of the 13th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES*; ISBN 978-989-758-681-1, SciTePress, pages 356-363. DOI: 10.5220/0012424700003639

#### in Bibtex Style

@conference{icores24,

author={Robert Bryce},

title={Finite Interval Processes: Simulating Military Operations},

booktitle={Proceedings of the 13th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES},

year={2024},

pages={356-363},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0012424700003639},

isbn={978-989-758-681-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 13th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES

TI - Finite Interval Processes: Simulating Military Operations

SN - 978-989-758-681-1

AU - Bryce R.

PY - 2024

SP - 356

EP - 363

DO - 10.5220/0012424700003639

PB - SciTePress