Research for Queuing Theory

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MILITARY COMPENSATION AND RETENTION, AN ANALYSIS OF ALTERNATIVE MODELS AND A SIMULATION OF A NEW RETENTION MODEL
October 1, 1981
Four major models for predicting the effects of changes in military pay on retention are described and compared. The most sophisticated model called the Stochastic Cost of Leaving or SCOL model, is simulated to demonstrate the effects of several changes in military compensation on retention.
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A NOTE ON ESTIMATING CONTINUOUS TIME DECISION MODELS
October 1, 1981
This paper points out a potential source of bias in the estimation of continuous time decision equations and demonstrates the use of an estimation technique, such as the Cox regression model, to correct for this bias.
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CONTINUOUS ESTIMATES OF SURVIVAL THROUGH EIGHT YEARS OF SERVICE USING FY 1979 CROSS-SECTIONAL DATA
September 1, 1981
Survival curves for NPS male recruits were estimated through eight years of service using the FY 1979 cross-sectional data base. Separate analyses were performed for Class A school attendees and non-A school attendees, holding constant the effects of age, educational level, and mental group. Mean survival times (the areas under the survival curves) were calculated for each recruit profile. A cost-benefit analysis was then performed on the mean survival times calculated over four years of service to determine optimal qualifying scores for enlistment.
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EFFECTS OF TRADE RESTRICTIONS ON IMPORTS OF STEEL
February 1, 1981
This paper uses an econometric model to estimate the short-term gains and losses to particular groups from free trade in the steel industry.
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A CLASS OF COMMUTATIVE MARKOV MATRICES
February 1, 1981
Examines a class of MARKOV matrices which arise in a simple model of a defense system. The model illustrates a MARKOV chain which is not time-homogeneous but is still amenable to analytic treatment.
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INTEGRATION OF A BIVARIATE NORMAL OVER AN OFFSET CIRCLE
February 1, 1981
A formula is derived for the calculation of the coverage integral in the most general case. A sample problem is presented and in the appendix, a FORTRAN code is listed for implementing the formula on a computer.
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SMALL FLUCTUATIONS IN SYSTEMS WITH MULTIPLE LIMIT CYCLES
February 1, 1981
This paper considers the effects of small random perturbations in deterministic systems of differential equations. A previous version of this paper appeared as CNA Professional Paper 225.
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A REPRINT OF A METHOD OF ESTIMATING PLANE VULNERABILITY BASED ON DAMAGE OF SURVIVORS
October 1, 1980
This research contribution consists of a series of eight memoranda originally published by the Statistical Research Group at Columbia University for the National Defense Research Committee in 1943 on methods of estimating the vulnerability of various parts of an aircraft based on damage to surviving planes. The methodology presented continues to be valuable in defense analysis and, therefore, has been reprinted by the Center for Naval Analyses in order to achieve wider dissemination.
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THE LAGUERRE TRANSFORM
July 1, 1980
A novel transform is presented which maps continuum functions (such as probability distributions) into discrete sequences and permits rapid numerical calculation of convolutions, multiple convolutions, and Neumann expansions for Volterra integral equations.
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THE EFFECTIVENESS OF INFORMATION PROCESSING IN JUMPS/MMS VOLUME I, MAIN TEXT AND APPENDICES A-C
May 1, 1980
This research contribution is an analysis of current JUMPS/MMS performance. Reporting efficiency is examined at the base, station, group, and regimental levels and these results are compared with the past performance of JUMPS/MMS.
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