Simultaneous equation production functions (cobb-douglas type) for decisions pertaining to sea-based tactical air resources

This paper proposes the use of a set of simultaneous, modified Cobb-Douglas production functions to determine the “best” mix of aircraft inputs (men, spare parts, support equipment, etc.) to achieve certain levels of output. The simultaneous equations are “solved” by the use of proxy values in an iterative search process. Tests of this production function model indicate that real world data fits quite well (R² ranges from 0.884 to 0.951) and the residuals do not appear to have any significant bias. The aircraft production functions for several types of aircraft (F-4, A-7, A-6, A-4) have been maximized for a fixed budget and specific constraints. A potential increase in output of up to 10 percent appears possible. In general the marginal value of spare parts surpasses the other inputs.     

Technical note: Worst‐case performance of power‐of‐two policies for serial inventory systems with incremental quantity discounts

This study presents power‐of‐two policies for a serial inventory system with constant demand rate and incremental quantity discounts at the most upstream stage. It is shown that an optimal solution is nested and follows a zero‐inventory ordering policy. To prove the effectiveness of power‐of‐two policies, a lower bound on the optimal cost is obtained. A policy that has a cost within 6% of the lower bound is developed for a fixed base planning period. For a variable base planning period, a 98% effective policy is provided. An extension is included for a system with price dependent holding costs. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Simulation of nonhomogeneous poisson processes by thinning

A simple and relatively efficient method for simulating one-dimensional and two-dimensional nonhomogeneous Poisson processes is presented The method is applicable for any rate function and is based on controlled deletion of points in a Poisson process whose rate function dominates the given rate function In its simplest implementation, the method obviates the need for numerical integration of the rate function, for ordering of points, and for generation of Poisson variates.     

Military expenditure,economic growth and structural instability: a case study of South Africa

This paper contributes to the growing literature on the milex-growth nexus, by providing a case study of South Africa and considering the possibility of structural breaks by applying newly developed econometric methods. Using full sample bootstrap Granger non-causality tests, no Granger causal link is found between military expenditure and GDP for 1951–2010, but parameter instability tests show the estimated VARs to be unstable. Using a bootstrap rolling window estimation procedure, however, finds evidence of bidirectional Granger causality in various subsamples. This implies standard Granger non-causality tests, which neither account for structural breaks nor time variation may be invalid.     

U.S. SPACE WEAPONS

Under the administration of President George W. Bush, Pentagon rhetoric has increasingly articulated a more robust vision of space as a future battlefield. This analysis details some of the ongoing spending for research and development programs identified in current U.S. Air Force, Missile Defense Agency (MDA), and Defense Advanced Research and Planning Agency (DARPA) planning and budget documents related to “space control” and “space force projection.” This analysis finds that current support for “space superiority” and “space control” systems remains largely rhetorical—with little actual budgetary support. Unclassified technology development programs included in the six-year Future Years Defense Plan are a decade or more away from deployment. Programs related to offensive counterspace, space-based missile defense interceptors, and space-based strike total slightly less than $300 million in FY 2006 funding. We conclude significantly higher expenditures in research and development would be required to develop and deploy killer micro satellites, space-based missile defense interceptors, and military space planes.     

Efficiency of equilibria in restricted uniform machine scheduling with total weighted completion time as social cost

In the last decade, there has been much progress in understanding scheduling problems in which selfish jobs aim to minimize their individual completion time. Most of this work has focused on makespan minimization as social objective. In contrast, we consider as social cost the total weighted completion time, that is, the sum of the agent costs, a standard definition of welfare in economics. In our setting, jobs are processed on restricted uniform parallel machines, where each machine has a speed and is only capable of processing a subset of jobs; a job's cost is its weighted completion time; and each machine sequences its jobs in weighted shortest processing time (WSPT) order. Whereas for the makespan social cost the price of anarchy is not bounded by a constant in most environments, we show that for our minsum social objective the price of anarchy is bounded above by a small constant, independent of the instance. Specifically, we show that the price of anarchy is exactly 2 for the class of unit jobs, unit speed instances where the finite processing time values define the edge set of a forest with the machines as nodes. For the general case of mixed job strategies and restricted uniform machines, we prove that the price of anarchy equals 4. From a classical machine scheduling perspective, our results establish the same constant performance guarantees for WSPT list scheduling. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012