The military recruiting productivity slowdown: The roles of resources,opportunity cost and the tastes of youth*

After a decade of successful recruiting, the US military began experiencing recruiting difficulties in the 1990s. Cyclical factors as well as trend factors may have played a role. This paper uses monthly data by state over the period 1989-1997 to estimate models of enlistment and evaluate the various explanations for the recruiting slowdown. Estimates of the impact of economic variables - relative military pay and unemployment - and recruiting resource variables - recruiters and advertising - are similar to those in previous studies. Two trend factors, rising college attendance and declining adult veteran population (influencers), are found to be important factors explaining the decline in enlistment.     

Investigating the Desirability of Navy Aircraft Service Life Extension Programs

Building on prior work on optimal replacement of aging aircraft, this paper presents three methodologies to evaluate prospective aviation Service Life Extension Programs (SLEPs) and applies these methodologies to US Navy F/A-18E/F data. While considerable uncertainty remains as to the values of key parameters (e.g. the cost of F/A-18E/F SLEPs), the preponderance of the evidence available at this juncture favors undertaking SLEPs on F/A-18E/Fs rather than replacing them with new Joint Strike Fighters.     

A stochastic optimization model for planning capacity expansion in a service industry under uncertain demand

A stochastic optimization model for capacity expansion for a service industry that incorporates uncertainty in future demand is developed. Based on a weighted set of possible demand scenarios, the model generates a recommended schedule of capacity expressions, and calculates the resulting sales under each scenario. The capacity schedule specifies the size, location, and timing of these expansions that will maximize the company's expected profit. The model includes a budget constraint on available resources. By using Lagrangian relaxation and exploiting the special nested knapsack structure in the sub-problems, an algorithm was developed for its solution. Based on the initial computational results, this algorithm appears to be more efficient than linear programming for this special problem. © 1994 John Wiley & Sons, Inc.     

A linear-programming-based method for determining whether or not n demand points are on a hemisphere

Whenever n demand points are located on a hemisphere, spherical location problems can be solved easily using geometrical methods or mathematical programming. A method based on a linear programming formulation with four constraints is presented to determine whether n demand points are on a hemisphere. The formulation is derived from a modified minimax spherical location problem whose Karush-Kuhn-Tucker conditions are the constraints of the linear program. © 1993 John Wiley & Sons, Inc.     

Optimal service rates of a service facility with perishable inventory items

In this paper we optimally control service rates for an inventory system of service facilities with perishable products. We consider a finite capacity system where arrivals are Poisson‐distributed, lifetime of items have exponential distribution, and replenishment is instantaneous. We determine the service rates to be employed at each instant of time so that the long‐run expected cost rate is minimized for fixed maximum inventory level and capacity. The problem is modelled as a semi‐Markov decision problem. We establish the existence of a stationary optimal policy and we solve it by employing linear programming. Several numerical examples which provide insight to the behavior of the system are presented. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 464–482, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10021     

An exact analysis of a joint production‐inventory problem in two‐echelon inventory systems

We consider a two‐echelon inventory system with a manufacturer operating from a warehouse supplying multiple distribution centers (DCs) that satisfy the demand originating from multiple sources. The manufacturer has a finite production capacity and production times are stochastic. Demand from each source follows an independent Poisson process. We assume that the transportation times between the warehouse and DCs may be positive which may require keeping inventory at both the warehouse and DCs. Inventory in both echelons is managed using the base‐stock policy. Each demand source can procure the product from one or more DCs, each incurring a different fulfilment cost. The objective is to determine the optimal base‐stock levels at the warehouse and DCs as well as the assignment of the demand sources to the DCs so that the sum of inventory holding, backlog, and transportation costs is minimized. We obtain a simple equation for finding the optimal base‐stock level at each DC and an upper bound for the optimal base‐stock level at the warehouse. We demonstrate several managerial insights including that the demand from each source is optimally fulfilled entirely from a single distribution center, and as the system's utilization approaches 1, the optimal base‐stock level increases in the transportation time at a rate equal to the demand rate arriving at the DC. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Probabilistic a priori routing-location problems

In many routing-location models customers located at nodes of a network generate calls for service with known probabilities. The customers that request service in a particular day are served by a single server that performs a service tour visiting these customers. The order of providing service to customers for each potential list of calls is uniquely defined by some a priori fixed basic sequence of all the customers (a priori tour). The problems addressed in this article are to find an optimal home location or an optimal basic sequence for the server so as to minimize the expectation of a criterion. The following criteria are considered: the total waiting time of all the customers, the total length of the tour, the maximal waiting time of a customer, the average traveled length per customer, and the average waiting time per customer. We present polynomial-time algorithms for the location problems. For the routing problems we present lower bounds that can be calculated efficiently (in polynomial time) and used in a branch-and-bound scheme. © 1994 John Wiley & Sons, Inc.     

Capturing Contemporary Innovation: Studying IDF Innovation against Hamas and Hizballah

The question of what enables some militaries to innovate effectively is of great interest to both scholars and commanders. However, the traditional models of military innovation fail to capture the complex innovation process. This study develops a new analytical framework that examines the pressures on and incentives for military innovation in the international, civil/military, organizational, and cultural planes and uses it to evaluate Israel Defense Forces (IDF) innovation between 2000 and 2009. Based on interviews with Israeli commanders and extensive research in Israel, this work finds that the IDF struggled to innovate before the 2006 war against Hizballah, but innovated effectively after the conflict once military and civilian leaders understood threats similarly. New models are needed to analyze the contemporary multi-dimensional innovative process.