Network Optimization Models for Resource Allocation in Developing Military Countermeasures

Abstract

A military arms race is characterized by an iterative development of measures and countermeasures. An attacker attempts to introduce new weapons in order to gain some advantage, whereas a defender attempts to develop countermeasures that can mitigate or even eliminate the effects of the weapons. This paper addresses the defender's decision problem: given limited resources, which countermeasures should be developed and how much should be invested in their development to minimize the damage caused by the attacker's weapons over a certain time horizon. We formulate several optimization models, corresponding to different operational settings, as constrained shortest-path problems and variants thereof. We then demonstrate the potential applicability and robustness of this approach with respect to various scenarios.

Sharing Rewards Among Strangers Based on Peer Evaluations

“…Several resource allocation models have been proposed in the decision analysis literature, ranging from resource allocation in the development of military countermeasures (Golany et al 2012) to resource allocation in healthcare (Griffin et al 2008). A wellknown resource allocation model is attributable to Pratt and Zeckhauser (1990).…”

Operation Loop-Based Optimization Model for Resource Allocation to Military Countermeasures versus Probabilistic Threat

“…The weapons developed by R are targets that B must counter. If all information about R is obtained by the intelligence department of B completely and opportunely at time tR1, then the initial damage (d1) caused by R, typically measured in casualties and economic damages [15], to B is known. As shown in Figure 1a, to defend the homeland from being attacked by R, B must develop new weapons (Bn) as CMs to mitigate the damage.…”

“…In this study, we applied the concept of accumulative damage presented by Golany [15], which is an objective function that measures the threat posed by the opponent. To assess the threat of the In this study, we applied the concept of accumulative damage presented by Golany [15], which is an objective function that measures the threat posed by the opponent.…”

“…To assess the threat of the In this study, we applied the concept of accumulative damage presented by Golany [15], which is an objective function that measures the threat posed by the opponent. To assess the threat of the whole WSOS, we first analyzed the node threat vector.…”

“…In Golany's model [15], t Bj was used to determine the development time of each weapon. t Bj was determined by the level of intensity, which is a discrete variable; therefore, t Bj was also a discrete variable.…”