Research for Inventories

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June 1, 1974
The application of a theoretical inventory model to the problems of management of aviation spare parts is described in this paper. The results of this analysis suggest that the use of such models can be of significant benefit to the Navy, and are relatively simple to implement. Recommended stockage and ordering policies for ten parts currently being provisioned for the F-14 are discussed. Sensitivity analyses suggest several areas in which future studies should be undertaken.
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June 1, 1974
This paper demonstrates how to determine the minimal cost combination of end products and investment in repair service capability in order to maintain a given level of operating end products. The model is then applied to the problem of determining the optimal size of the Navy's F-4 aircraft pipeline.
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June 1, 1974
Many recent economic and inventory studies have included various types of fixed or lump-sum costs as important determinants of optimal behavior. In this paper, the classical inventory model is augmented to include fixed shortage costs. In general, the presence of fixed shortage costs can lead to complex optimal solutions. The purpose of this paper is to establish a set of sufficient conditions which guarantee the existence of an optimal ordering policy which is unique. The resulting optimal policy is described by a unique set of critical numbers which are bounded and decrease monotonically over the horizon for which the inventory system is to be operated.
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June 1, 1974
This paper is concerned with calculating the significant measures of supply effectiveness for activities which involve the resupply of reparable items (spares). The approach that is taken is to derive an expression for the number of unsatisfied demands existing for the items at a point in time. This expression can then be employed to calculate the desired measures of supply effectiveness which describe the behavior of the model. Several numerical examples illustrating the model's use are presented in the concluding part of the paper.
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June 1, 1974
This paper considers the problem of optimizing the benefits to be realized from allocating resources in a stochastic flow process. The Naval resupply system is viewed as consisting of several processes, from the requisitioning, to the processing, to the transportation of spare parts. The time necessary for completion of any of the processes by any of the assumed homogeneous items is a random variable described by a distribution function whose parameters are functions of the budget at which each process is supported. Having delineated alternative budget levels and associated parameter improvements at each stage, the problem is to allocate a fixed budget so that the probability of completion for any item over the whole flow system before a given deadline is maximized. The solution to this problem is presented with specific reference to the Naval resupply system.
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June 1, 1974
A serious criticism of the inventory models presented in the literature is that they often seek to minimize inventory costs rather than to minimize total costs for a specified production level. This neglect is caused, in large measure, by a failure to consider inventories as factors of production, with substitution possibilities between other types of inputs. This paper incorporates these substitution possibilities into the analysis, and formulates an inventory model within the theory of the firm.
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June 1, 1974
This paper describes an inventory system in which demands for spare parts arise due to part failure. Successive demands are assumed to be independent and identically distributed random variables. The model considers the perdiodic review of a single part with backlogging of demand.
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June 1, 1974
The Officer Projection Model (OPM) projects the flow of officers through the ranks of the U.S. Navy. It projects an initial officer inventory (characterized by length of service, grade, and promotion status) in yearly increments, accounting for attrition, promotion, legal constraints (Title 10 of the U.S. Code), and such management policies as minimum accession requirements and end strength targets. It is devoted especially to simulating the Navy's officer promotion system, and provides several options which consider the interactions of flow point, promotion rate, zone size, grade structure and end strength, and early and late selection. The OPM will also compute annual compensation, separation pay, retirement pay, and the present value of retirement pay for the remaining life expectancy of projected retirees. The model provides management with a tool for evaluating alternative promotion policies and retirement proposals, and for studying the interactions of officer end strengths, promotions, and accessions, and the cost of changes in longevity and grade structure. The Guide for Users, Volume I, describes the Navy's officer system and the model and discusses the data and policy variables to be specified by the user. The Guide for Programmers, Volume II, provides a detailed explanation of the computer coding as an aid to changing, and making special adaptations of the model.
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June 1, 1969
Documents the development of an applied model for planning pipeline aircraft procurement. Using the techniques of network analysis, the model is illustrated with the A-7 aircraft undergoing Progressive Aircraft Rework (PAR) at Naval Aircraft Rework Facility, Jacksonville. A range of pipeline factors for the A-7 is evaluated and suggestions are made for applying the model to other type, model, and series of aircraft.
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