PAPERS AVAILABLE IN THE SUBDIRECTORY "papers" -------------------------------------------- Most recent update: 960920 9301mcba.ps.gz S.M. Robinson, "Minimax cost/benefit analysis," 9301mcba.dvi.gz August 1992 (minor revision January 1993), 18 pp. SUMMARY: Proposes a method for benefit/cost analysis with multiple, incommensurable attributes. STATUS: In revision. 9510arl.ps.gz S.M. Robinson, "Estimating expected value of system 9510arl.ps.gz testing," October 1995, 9 pp. SUMMARY: An expository paper showing how to apply Bayesian methods for estimating the value of information provided by live-fire testing of a combat system. STATUS: To appear in a report issued by the U.S. Army Research Laboratory, Aberdeen, MD 9510aspo.dvi.gz S.M. Robinson, "Analysis of sample-path optimization," 9510aspo.ps.gz October 1995, 23 pp. SUMMARY: Proves almost-sure convergence of the method of sample-path optimization for optimizers and for epsilon-optimizers. STATUS: Accepted by MATHEMATICS OF OPERATIONS RESEARCH. 9602nspf.dvi.gz H. Sellami and S.M. Robinson, "Implementation of a 9602nspf.ps continuation method for normal maps," February 1996, 19 pp. SUMMARY: Shows how to implement a nonsmooth continuation method for solving variational inequalities, and gives results of numerical testing. STATUS: Accepted by MATHEMATICAL PROGRAMMING. 9603lcsd.dvi.gz S.M. Robinson, "Linear convergence of epsilon-subgradient 9603lcsd.ps.gz descent methods for a class of convex functions," March 1996, 11 pp. SUMMARY: Establishes an R-linear convergence rate for a class of descent methods including the proximal point method and the bundle method in proximal form (considered as a sequence of serious steps), for a class of convex functions introduced by Zhang and Treiman. STATUS: Submitted to MATHEMATICAL PROGRAMMING. 9603lenn.dvi.gz K. Ritter, S.M. Robinson, and S. Schaeffler, "Global 9603lenn.ps minimization of Lennard-Jones functions on transputer networks," March 1996, 10 pp. SUMMARY: Gives a three-stage computational procedure for minimizing molecular energy potential functions of pure Lennard-Jones type, and exhibits numerical results on problems with up to 20,000 atoms. STATUS: Accepted by Institute for Mathematics and Its Applications (IMA) Proceedings on Large-Scale Optimization. 9606opfs.ps.gz E.L. Plambeck, B.-R. Fu, S.M. Robinson, and R. Suri, 9606opfs.dvi.gz "Sample-path optimization of convex stochastic performance functions," May 1994, minor revision June 1996, 49 pp. SUMMARY: Introduces the method of sample-path optimization for systems observable by simulation, and applies it to tandem production lines and to stochastic PERT networks. Extensive numerical results. STATUS: Accepted by MATHEMATICAL PROGRAMMING. 9607wsc.ps G. Gurkan, A.Y. Ozge, and S.M. Robinson, "Sample-path solution of stochastic variational inequalities, with applications to option pricing," July 1996, 8 pp. SUMMARY: Shows how to use a variant of sample-path optimization to solve stochastic variational inequalities. Illustrates the method by using it to price an American call option on a dividend-paying stock. STATUS: Accepted by PROCEEDINGS OF THE 1996 WINTER SIMULATION CONFERENCE. 9608redu.dvi.gz S.M. Robinson, "A reduction method for variational 9608redu.ps inequalities," August 1996, 11 pp. SUMMARY: Shows how to reduce the number of variables in certain variational inequalities occurring in applications, especially in economic equilibrium problems. Gives numerical example in which the reduced form could be solved in 2% of the time required for the original problem. STATUS: Submitted to MATHEMATICAL PROGRAMMING. 9609trie.dvi.gz S.M. Robinson, "Nonsmooth continuation for generalized 9609trie.ps equations," September 1996, 10 pp. SUMMARY: Develops a framework for solution of certain generalized equations by nonsmooth continuation, and establishes a condition under which the resulting homotopy path will remain uniformly bounded as the homotopy parameter varies in [0,1). STATUS: Submitted to the proceedings of the Seventh French-German Conference on Optimization.