A new analysis of a lot-size model with partial backlogging

We reformulate the cost equation for the lot-size model with partial back-logging. The formulation is in terms of “fictitious demand rate,” a new inventory decision variable that simplifies the analysis. Using decomposition by projection, we obtain an optimal solution in a straightforward manner. The form of the solution sheds additional light on the behavior of the model. Some of these insights are elucidated by numerical examples.     

The fast deployment logistic ship project: Economic design and decision technique

This paper describes the way in which economic analyses, particularly life-cycle cost analyses and tradeoffs were structured for use as an integrated analysis and design technique at all levels of the Contract Definition of the Fast Deployment Logistic Ship. It describes system, subsystem and major component economic analysis and design methodology as well as economic analyses of special subjects such as the ship production facility design. Illustrations are provided of several major system parametric studies and of shipyard and manning/automation analyses.     

An extension of the (szwarc) truck assignment problem

In this journal in 1967. Szware presented an algorithm for the optimal routing of a common vehicle fleet between m sources and n sinks with p different types of commodities. The main premise of the formulation is that a truck may carry only one commodity at a time and must deliver the entire load to one demand area. This eliminates the problem of routing vehicles between sources or between sinks and limits the problem to the routing of loaded trucks between sources and sinks and empty trucks making the return trip. Szwarc considered only the transportation aspect of the problem (i. e., no intermediate points) and presented a very efficient algorithm for solution of the case he described. If the total supply is greater than the total demand, Szwarc shows that the problem is equivalent to a (mp + n) by (np + m) Hitchcock transportation problem. Digital computer codes for this algorithm require rapid access storage for a matrix of size (mp + n) by (np + m); therefore, computer storage required grows proportionally to p². This paper offers an extension of his work to a more general form: a transshipment network with capacity constraints on all arcs and facilities. The problem is shown to be solvable directly by Fulkerson's out-of-kilter algorithm. Digital computer codes for this formulation require rapid access storage proportional to p instead of p². Computational results indicate that, in addition to handling the extensions, the out-of-kilter algorithm is more efficient in the solution of the original problem when there is a mad, rate number of commodities and a computer of limited storage capacity.     

The frequency assignment problem: A solution via nonlinear programming

This paper gives a mathematical programming model for the problem of assigning frequencies to nodes in a communications network. The objective is to select a frequency assignment which minimizes both cochannel and adjacent-channel interference. In addition, a design engineer has the option to designate key links in which the avoidance of jamming due to self interference is given a higher priority. The model has a nonconvex quadratic objective function, generalized upper-bounding constraints, and binary decision variables. We developed a special heuristic algorithm and software for this model and tested it on five test problems which were modifications of a real-world problem. Even though most of the test problems had over 600 binary variables, we were able to obtain a near optimum in less than 12 seconds of CPU time on a CDC Cyber-875.     

Facing an uncertain economic future: Environmental management spending and rural regions surrounding the U.S. DOE's nuclear weapons facilities

Using an economic simulation model, the study finds that the proposed expenditure by the U.S. Department of Energy of billions of dollars to manage the nuclear weapons environmental legacy followed by sharp reductions in expenditures would cause economic spikes and then depressions in three rural regions (Hanford in Washington, INEEL in Idaho, and SRS in South Carolina). The economies of larger and growing metropolitan regions with DOE sites will not be noticeably impacted. Simulations suggest pronounced impacts on income, jobs, and gross regional product in the three dependent rural regions. Policy options are reviewed to address the economic stresses of these rural dependent regions.     

Life cycle costs for decision support ‐ a study of the various life cycle costs used at different levels of defence policy and management∗

Debates on many aspects of defence economics ‐ on the scale of defence expenditure, on the allocation of that expenditure to various military capabilities, and on the selection of equipment offering the best value for money ‐ are bedevilled by misunderstandings and misconceptions about the costs of defence equipment. This paper seeks to improve understanding of defence equipment costs by defining a hierarchy of defence equipment within which the direct and indirect life cycle costs of defence equipment may be allocated at different levels. Having reviewed the direct and indirect components of the life cycle cost, this paper then shows how different costing studies for different purposes require different approaches to life cycle costing, and that there is no unique life cycle cost which can be assigned to one particular item of defence equipment. There is instead a range oflife cycle costs, each of which is appropriate for a particular study, and it is important that a quoted cost of an item of defence equipment should be used only in the pertinent circumstances. The paper is written from a UK perspective and accordingly uses British nomenclature, but its principles should be relevant to defence cost studies in other nations.     

Military spending and economic growth in South Africa

This paper undertakes an empirical analysis of the economic effects of military spending on the South African economy. It estimates a neo‐classical model common in the literature at the level of the macroeconomy and at the level of the manufacturing sector. An attempt is made to improve upon the model by allowing the data to determine the dynamic structure of the model through an ARDL procedure. No significant impact of military spending is found in aggregate, but there is a significant negative impact for the manufacturing sector. This suggests that the cuts in domestic military procurement that have occurred since 1989 could lead to improved economic performance in South Africa through their impact on the manufacturing sector.