Test selection for a mass screeening program

Periodic mass screening is the scheduled application of a test to all members of a population to provide early detection of a randomly occurring defect or disease. This paper considers periodic mass screening with particular reference to the imperfect capacity of the test to detect an existing defect and the associated problem of selecting the kind of test to use. Alternative kinds of tests differ with respect to their reliability characteristics and their cost per application. Two kinds of imperfect test reliability are considered. In the first case, the probability that the test will detect an existing defect is constant over all values of elapsed time since the incidence of the defect. In the second case, the test will detect the defect if, and only if, the lapsed time since incidence exceeds a critical threshold T which characterizes the test. The cost of delayed detection is an arbitrary increasing function (the “disutility function”) of the duration of the delay. Expressions for the long-run expected disutility per unit time are derived for the above two cases along with results concerning the best choice of type of test (where the decision rules make reference to characteristics of the disutility function).     

Book reviews

Nuclear Non-Proliferation and Global Order. By Harald Muller, David Fischer, and Wolfgang Kotter. SIPRI, Oxford, Oxford University Press, (1994) ISBN 0-19-329155-8, hardback, £25.00

Conventional Arms Control: Perspectives on Verification By Sergey Koulik and Richard Kokoski, SIPRI, Oxford University Press, (1994) ISBN 0-19-829149-3 and

Implementing the Comprehensive Test Ban: New Aspects of Definition, Organisation and Verification Edited by Eric Arnett, SIPRI Research Report No. 8, Oxford University Press, (1994) ISBN 019-829188-4

Military Technological Innovation and Stability in a Changing World: Politically assessing and Influencing Weapons Innovation and Military Research and Development, By Wim A. Smit, John Grin and Lev Voronkov (eds.) VU University Press, Amsterdam, Netherlands (1992), ISBN 90-5383-158-4.

Security, democracy, and development in US - Latin American relations. By Lars Schoultz, William C. Smith and Augusto Varas (eds.) Transaction Publishers, New Brunswick (USA), and London (UK) (1994). ISBN 1-56000-760-5     

Book Reviews

Strategic Views from the Second Tien The Nuclear Weapons Policies of France, Britain and China. Edited by J.C. Hopkins and W Hu, New Brunswick and London, Transaction Publishers, (1995) ISBN 1-56000-7907. $ 21.95

Multinational Military Forces: Problems and Prospects. By Roger H. Palin. Adelphi Paper 294, 11SS/Oxford University Press (1995) ISBN 0-19-828025-4 ISSN 0567 932X

South Africa in the Global Economy. Edited by Greg Mills, et al. South African Institute of International Affairs, Johannesburg, (1995) ISBN 1-874890-58-7. R. 45.60

The Limits of Air Powen The American Bombing of North Vietnam. By Mark Clodfelter, The Free Press. New York (1989). ISBN 0-02-905990-9. $22.95.

Guy Gibson. By Richard Morris with Colin Dobinson. Viking. London (1994). ISBN 0-670-82878-5. £18.00.

Dambuster: A Life of Guy Gibson VC. By Susan Ottway. Leo Cooper, London (1994). ISBN 0-85052-427. £16-95.     

Linear programming and the reliability of multicomponent systems

Several problems in the assignment of parallel redundant components to systems composed of elements subject to failure are considered. In each case the problem is to make an assignment which maximizes the system reliability subject to system constraints. Three distinct problems; are treated. The first is the classical problem of maximizing system reliability under total cost or weight constraints when components are subject to a single type of failure. The second problem deals with components which are subject to two types of failure and minimizes the probability of one mode of system failure subject to a constraint on the probability of the other mode of system failure. The third problem deals with components which may either fail to operate or may operate prematurely. System reliability is maximized subject to a constraint ori system safety. In each case the problem is formulated as an integer linear program. This has an advantage over alternative dynamic programming formulations in that standard algorithms may be employed to obtain numerical results.     

Quantifying optimal mesh and ring design costs

During the last decade telecommunication operators have been deploying WDM (Wavelength Division Multiplexing) technology to satisfy the exponential growth in global communication. While facilitating the advanced information society of today, this has also led to a higher dependency on the networks, and furthermore the high capacity utilization of optical fibers means that a single link failure will influence many users and enterprises. For these reasons, protection of network connections has become a major competitive parameter for the operators. Currently, the most popular protection method is ring protection, due to its simplicity, requiring only basic management functionality and operating with local restoration control. While many optical rings have been deployed, little work has been published on exactly what the cost of ring networks are, compared to general mesh networks. In this article we perform a quantitative comparison between ring protection and mesh protection, using real world network data and realistic prices for network components. Extending classic LP flow models to take rings and node costs into account, and using a link‐path based mesh network LP model, we are able to perform a total cost comparison of the two architectures, and of manual ring network design. The results suggest that the price of mesh network components must be reduced significantly to be competitive with ring based networks, and also that manual network design does not necessarily lead to the most cost‐efficient designs. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

An approximate planning model for distributed computing networks

We develop an approximate planning model for a distributed computing network in which a control system oversees the assignment of information flows and tasks to a pool of shared computers, and describe several optimization applications using the model. We assume that the computers are multithreaded, and have differing architectures leading to varying and inconsistent processing rates. The model is based on a discrete‐time, continuous flow model developed by Graves [Oper Res 34 (1986), 522–533] which provides the steady‐state moments of production and work‐in‐queue quantities. We make several extensions to Graves' model to represent distributed computing networks. First, we approximately model control rules that are nonlinear functions of the work‐in‐queue at multiple stations through a linearization approach. Second, we introduce an additional noise term on production and show its use in modeling the discretization of jobs. Third, we model groups of heterogeneous computers as aggregate, “virtual computing cells” that process multiple tasks simultaneously, using a judiciously selected control rule. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

Evaluating appointment postponement in scheduling patients at a diagnostic clinic

Diagnostic clinics are among healthcare facilities that suffer from long waiting times which can worsen medical outcomes and increase patient no-shows. Reducing waiting times without significant capital investments is a challenging task. We tackle this challenge by proposing a new appointment scheduling policy that does not require significant investments for diagnostic clinics. The clinic in our study serves outpatients, inpatients, and emergency patients. Emergency patients must be seen on arrival, and inpatients must be given next day appointments. Outpatients, however, can be given later appointments. The proposed policy takes advantage of this by allowing the postponement of the acceptance of appointment requests from outpatients. The appointment scheduling process is modeled as a two-stage stochastic programming problem where a portion of the clinic capacity is allocated to inpatients and emergency patients in the first stage. In the second stage, outpatients are scheduled based on their priority classes. After a detailed analysis of the solutions obtained from the two-stage stochastic model, we develop a simple, non-anticipative policy for patient scheduling. We evaluate the performance of this proposed, easy-to-implement policy in a simulation study which shows significant improvements in outpatient indirect waiting times.