摘要:

AbstractThe problem is to protect a set ofTidentical targets that may come under attack byAidentical weapons. The targets are to be defended byDidentical interceptors, which must be preallocated to defend selected targets. The attacker is aware of the number of interceptors, but is ignorant of their allocation. The size of the attack is chosen by the attacker from within a specified range. The robust strategies developed in this article do not require the defender to assume an attack size. Rather, the defender chooses a strategy which is good over a wide range of attack sizes, though not necessarily best for any particular attack size. The attacker, knowing that the defender is adopting a robust strategy, chooses the optimal attack strategy for the number of weapons he chooses to expend. The expected number of survivors is a function of the robust defense strategy and optimal attack strategy against this robust defense.

ISSN:0894-069X    

DOI:10.1002/1520-6750(198702)34:1<1::AID-NAV3220340103>3.0.CO;2-2

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1987

数据来源: WILEY

摘要:

AbstractThe problem is to protect a set ofttargets bynperfect interceptors against an attack bymperfect weapons. If the defender solves for an optimal preallocated preferential defense and associated game value assumingm1attackers, and the attacker knows the assumption of the defender and utilizesm2attackers, he may be able to achieve significantly more damage than had the defender assumed that there would bem2attackers. The article treats the robustness of preallocated preferential defense to assumptions about the size of the attack and presents results of an alternative approach.

ISSN:0894-069X    

DOI:10.1002/1520-6750(198702)34:1<23::AID-NAV3220340104>3.0.CO;2-F

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1987

数据来源: WILEY

摘要:

AbstractThe problem addressed is that of estimating the probability of a moving particle (called the target) avoiding detection by a stationary sensor to timet.The target follows a diffusion path and is constrained to remain within a square regionR.The detecting sensor is fixed at the center ofA.Two expressions for this probability are given. The first results from an approximation to the exact solution of the diffusion equation and the second from experimentation with a Monte Carlo simulation of the diffusion process.

ISSN:0894-069X    

DOI:10.1002/1520-6750(198702)34:1<43::AID-NAV3220340105>3.0.CO;2-6

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1987

数据来源: WILEY

摘要:

AbstractConsider a closed network of queues of the “product‐form” type, where each station hassservers (s≥ 1 is identical for all stations). We show that the throughput function of the network is Schur concave with respect to the loading of the stations and arrangement increasing with respect to the assignment of server groups. Consequently, different loading/assignment policies can be compared under majorization/arrangement orderings and their relative merits decided according to the yields of throughput. The results can be used to support planning decisions in computer and production systems which are modeled as closed networks of

ISSN:0894-069X    

DOI:10.1002/1520-6750(198702)34:1<53::AID-NAV3220340106>3.0.CO;2-0

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1987

数据来源: WILEY

摘要:

AbstractWe consider the multiperiod lot‐sizing problem in which the production yield (the proportion of usable goods) is variable according to a known probability distribution. We review two economic order quantity (EOQ) models for the stationary demand continuous‐time problem and derive an EOQ model when the production yield follows a binomial distribution and backlogging of demand is permitted. A dynamic programming algorithm for an arbitrary sequence of demand requirements is presented. Heuristics based on both the EOQ model and appropriate modification of the underlying perfect‐yield lot‐sizing policies are discussed, and extensive computational evaluation of these heuristics is presented. Two of these heuristics are then modified to include the notion of supply safety stock. The modified heuristics consistently produce near‐optimal lot‐sizing policies for problems with stationary and time‐va

ISSN:0894-069X    

DOI:10.1002/1520-6750(198702)34:1<67::AID-NAV3220340107>3.0.CO;2-R

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1987

数据来源: WILEY

摘要:

AbstractThe general problem we are concerned with here is the estimation ofPθ(C) whereCis some fixed event andPθis unknown in some class. The various available estimation procedures seem to involve the choice of some random probability measure. In particular we consider this problem whenCis a disk inR2centered at o andPθis restricted to be bivariate normal. Details concerning the implementation of the estimation procedures and a Monte Carlo study are discussed for this case. This particular problem arises when we are concerned with assessing the accuracy of a targeting procedu

ISSN:0894-069X    

DOI:10.1002/1520-6750(198702)34:1<87::AID-NAV3220340108>3.0.CO;2-I

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1987

数据来源: WILEY

摘要:

AbstractThe output of anN‐stage line with unlimited buffer space between stages is a function of the number of repair crews assigned to the line and the failure and repair rates of the individual stages. Rules for assigning crews that are examined include preference for slow stages and randomization. It is shown that appropriate randomization maximizes output in the 2 stage, 1 crew case. Furthermore, in a large system with slower stages having slower repair rates, the best way to dedicate repairmen is to assign one man to each slow stage in so far as possible and to pair remaining stages in combinations of slowest‐fastest, next slowest‐next fastest

ISSN:0894-069X    

DOI:10.1002/1520-6750(198702)34:1<101::AID-NAV3220340109>3.0.CO;2-K

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1987

数据来源: WILEY

摘要:

AbstractRegression modeling for prediction or forecasting purposes is critically dependent on the quality of the data which are used to estimate the model parameters. Extreme response or predictor‐variable values can substantially influence least‐squares estimates and disproportionately affect predictions. Robust alternatives to least‐squares are less sensitive to extreme observations and can provide more precise predictions. In this article diagnostic displays are used to identify extreme observations and to assess the sensitivity of least‐squares parameter estimates and predictions to the inclusion of these observations in a data set. The displays are shown to aid in the interpretation of weights which robust estimators assign to influential obser

ISSN:0894-069X    

DOI:10.1002/1520-6750(198702)34:1<109::AID-NAV3220340110>3.0.CO;2-1

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1987

数据来源: WILEY

摘要:

AbstractThis 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 Cybe

ISSN:0894-069X    

DOI:10.1002/1520-6750(198702)34:1<133::AID-NAV3220340111>3.0.CO;2-W

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1987

数据来源: WILEY

摘要:

AbstractIn this article we extend the work of Mehrez and Stulman [5] on the expected value of perfect information (EVPI) to the expected value of sample information (EVSI) for a class of economic problems dealing with the decision to reject or accept an investment project. It is shown that shifting the mean of the underlying a priori distribution ofX, the project's monetary value from zero in either direction will decrease the associated EVSI ofY, the random sampled information. A theorem is then presented which gives an upper bound on the EVSI over all distributions ofY, as well as the structure of the posterior meanE[X|Y]for which this upper bound is achieved. Finally, the case whereE[X|Y]is linear inYis discussed and its performance compared with that of the optimal case.

ISSN:0894-069X    

DOI:10.1002/1520-6750(198702)34:1<141::AID-NAV3220340112>3.0.CO;2-S

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1987

数据来源: WILEY