Lanchester-Type Equations of Combat which Account for Multiple Killing Hits

Visvaldis Mangulis
Additional contact information
Visvaldis Mangulis: RCA, Princeton, New Jersey

Operations Research, 1980, vol. 28, issue 3-part-i, 560-569

Abstract: Differential equations are derived for “aimed-fire” combat losses with multiple killing hits taken into account. The multiple killing hits arise because more than one combatant may aim at the same target. The exchanged fire may occur (1) in salvos and (2) random in time. Effects of supporting fires are included. Conditions for equally balanced forces are obtained. The equations in general differ from the usual Lanchester equations, but they do reduce to the Lanchester equations if the single shot probability of kill is small. The force balance equation for random fire does not depend on the time the weapons spend in transit to the target, but it does depend on the fraction of time during which an unfired weapon is committed to a particular target so that the aim cannot be shifted even if the target is killed, and the weapon is launched against the killed target anyway.

Date: 1980
References: Add references at CitEc
Citations:

Downloads: (external link)
http://dx.doi.org/10.1287/opre.28.3.560 (application/pdf)

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: https://EconPapers.repec.org/RePEc:inm:oropre:v:28:y:1980:i:3-part-i:p:560-569

Access Statistics for this article

More articles in Operations Research from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().