On the polyhedral structure of two‐level lot‐sizing problems with supplier selection

In this article, we study a two‐level lot‐sizing problem with supplier selection (LSS), which is an NP‐hard problem arising in different production planning and supply chain management applications. After presenting various formulations for LSS, and computationally comparing their strengths, we explore the polyhedral structure of one of these formulations. For this formulation, we derive several families of strong valid inequalities, and provide conditions under which they are facet‐defining. We show numerically that incorporating these valid inequalities within a branch‐and‐cut framework leads to significant improvements in computation. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 647–666, 2017     

Reforming China’s defense industry

ABSTRACT

Even with sizable economic inputs, access to foreign technologies, and considerable political will, China, up until the late 1990s, experienced only limited success when it came to the local design, development, and manufacture of advanced conventional weapons. Not surprisingly, therefore, reforming the local defense industry in order to upgrade its technology base and manufacturing capabilities and to make armaments production more efficient and cost-effective has long preoccupied the Chinese leadership. The fact that most of these efforts had little positive impact on the country’s military technological and industrial capabilities only encouraged Beijing to experiment with additional reforms in the hopes of finally getting it right.     

Minimum-cost mixtures of area and point defenses assuming simultaneous attack

It is desired to select numbers of area and point interceptors that minimize the cost of such defensive missiles under the condition that the maximum total expected damage produced by an unknown number of attacking missiles A be bounded above by a given function of A. Area coverages may overlap. The attacker is assumed to know the numbers of area and point interceptors and to launch a simultaneous attack (of arbitrary size A) against all targets, which is optimal against the given defenses. The defender is assumed to observe the attack and then allocate his area and point interceptors against attacking missiles so as to minimize the total expected damage. Upper and lower bounds on the minimal cost are obtained by solving integer programming problems.     

Analytic approximations for (s,S) inventory policy operating characteristics

The operating characteristics of (s,S) inventory systems are often difficult to compute, making systems analysis a tedious and often expensive undertaking. Approximate expressions for operating characteristics are presented with a view towards simplified analysis of systems behavior. The operating characteristics under consideration are the expected values of: total cost per period, period-end inventory, period-end stockout quantity, replenishment cost per period, and backlog frequency. The approximations are obtained by a two step procedure. First, exact expressions for the operating characteristics are approximated by simplified functions. Then the approximations are used to design regression models which are fitted to the operating characteristics of a large number of inventory items with diverse parameter settings. Accuracy to within a few percent of actual values is typical for most of the approximations.     

Longitudinal manpower planning models

A manpower planning model is presented that exploits the longitudinal stability of manpower cohorts. The manpower planning process is described. An infinite horizon linear program for calculating minimum cost manpower input plans is presented and found to have a straightforward solution in a great many cases and to yield an easily implemented approximation technique in other cases.     

Probabilistic formulations of the multifacility weber problem

The problem considered is to locate one or more new facilities relative to a number of existing facilities when both the locations of the existing facilities, the weights between new facilities, and the weights between new and existing facilities are random variables. The new facilities are to be located such that expected distance traveled is minimized. Euclidean distance measure is considered; both unconstrained and chance-constrained formulations are treated.     

Inventory control of a multiproduct system with a limited production resource

Optimal control of the production of several products subject to restricted production resources is considered. Linear production, holding and penalty costs are assumed although this is crucial only for production costs. Excess demand results in lost sales. A single point plays an important role in the definition of the optimal policy.     

The Afghan model in northern Iraq

In Operation ‘Iraqi Freedom’, as the Coalition's heavy forces fought in the South, in the North a handful of special operations forces, working with Kurdish rebels, clashed with the Iraqi army along the Green Line. In operations reminiscent of those used a year earlier to defeat the Taliban in Afghanistan, the lightly armed and heavily outnumbered Coalition forces called in air strikes to defeat Iraq's regular and Republican Guard army divisions. This article tells the story of these operations and discusses some of their implications for future US military policy. The success of the Afghan model in Iraq goes a long way toward demonstrating the efficacy of new air-heavy tactics and shows the strategic value of using light indigenous allies to replace heavy US land forces in both conventional combat and occupation operations.     

How to rethink war: Conceptual Innovation and AirLand Battle Doctrine1

This article examines the role of ideas in US Army innovation after the Vietnam War. It challenges the view that failure, changes in the strategic environment or technology are the sole drivers of military innovation and analyses the role of ideas and identity in the army's development of AirLand battle doctrine. It highlights how the reform in ideas led to a ‘re-conception’ of the strategic environment, the nature and dynamics of warfare and a change in self-understanding. The organisational reforms embodied these ideas and led to a new way of war practised in the first Gulf War.