An inverse square-root function is developed for the relation between average response distance and the number of locations at which response units are stationed in a region. Analysis of theoretical models, simulation data, and empirical measurements are used to confirm the square-root model....

Several queuing models suggested for modelling hospital admissions scheduling are reviewed and a Markovian decision model is presented. The resulting linear program could be solved to obtain results listed on a decision table as a guide to administrative action.

A problem of determining the form of optimal replacement policies is treated. Equipment whose changes of state can be described by a finite Markov chain are considered. The objective of the replacement policy is the maximization of the expected time between replacements while keeping the...

Conditions are derived under which optimal replacement rules for systems subject to Markovian deterioration and failure are given by control limit replacement rules. An efficient method of deriving such rules is given which is based on the simplex algorithm.

We empirically explore the accuracy of an easily computed approximation for long run, average performance measures such as expected delay and probability of delay in multiserver queueing systems with exponential service times and periodic (sinusoidal) Poisson arrival processes. The pointwise...

In many cities, a substantial fraction of calls for police service require more than one patrol car. We compare Green's multiple dispatch queueing model to several M/M/c-based approximations for multiple car dispatching that are obtained by adjusting the parameters. We found that none of the...

This paper describes efforts to validate a multiple car dispatch queueing (MCD) model of police patrol operations using New York City data. The MCD model was designed for use in a computer system that has been disseminated to many police departments in the U.S. to help planners allocate patrol...

How many patrol cars staffed with a single police officer are needed to provide equivalent police service to an existing system with n two-officer patrol cars? This question is explored for New York City using a multiple patrol car per call priority queueing model. It is shown that a one-officer...

The problem of decreasing the amount of testing for vision loss in persons susceptible to glaucoma is formulated as an integer optimization problem. Nonlinear and linear versions of the problem formulation are given, and both heuristic and exact algorithms are proposed. Testing with...

The Communication from Rodrick and Deborah Wallace repeats allegations that they have made in print [Wallace, D. 1977. New York city fire crisis, part one, the system is falling apart. Heights and Valley News (May) 10--11; Wallace, R., D. Wallace. 1977. Studies on the Collapse of Fire Service in...