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Operations Research Group:
Publications

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Recent Publications


2001

I. Dumitrescu and N. Boland, "Algorithms for the weight constrained shortest path problem", International Transactions in Operational Research, 8, pp15-29, 2001.

A.V. Tran, R. Tucker, W.D. Zhong and N. Boland, "Efficient design of WDM ring networks with optical amplifiers", Proceedings of the Optoelectronic Communication Conference, 1-5 July 2001, Sydney, Australia}, pp. 58-59.

L. Churilov and M. Sniedovich, "Multiplicative programming and beyond via c-programming", Optimization and Related Topics, 2001.

B.D. Craven, "Vector generalized invex", OPSEARCH, 2001.

B.D. Craven, "Perturbations and approximate minimum in constrained optimization", Taiwanese Journal of Mathematics, 2001. S.M.N. Islam and B.D. Craven, "Computation of non-linear continuous optimal growth models: experiements with optimal control algorithms and computer programs", Economic Modelling, 2001.


2000

V. Mak and N. Boland, "Heuristic approaches to the asymmetric travelling salesman problem with replenishment arcs", International Transactions in Operations Research, 7, pp. 431-447, 2000.

N. Boland, L. Clarke, and G.L. Nemhauser, "The asymmetric traveling salesman problem with replenishment arcs", European Journal of Operational Research, 123, pp. 408-427, 2000.

P. Neame, N. Boland and D. Ralph "An outer approximate subdifferential method for piecewise affine optimization", Mathematical Programming, 87, pp. 57-86, 2000.

J. Ebery, A. Ernst, M. Krishnamoorthy, and N. Boland, "The capacitated multiple allocation hub location problem: formulations and algorithms", European Journal of Operational Research", 120, pp. 614-631, 2000.


1998

C. Barnhart, N. Boland, L. Clarke, E.L. Johnson, G.L. Nemhauser, and R. Shenoi, "Flight string models for aircraft fleeting and routing", Transportation Science, 32, pp. 208-220, 1998.


1997

N. Boland, "A dual-active-set algorithm for positive semi-definite quadratic programming", Mathematical Programming, 78, pp. 1-27, 1997.


1996

A. Loerch, N. Boland, E.L. Johnson, and G.L. Nemhauser, "Finding an optimal stationing policy for the US Army in Europe after the force drawdown", Military Operations Resarch, 2 ,pp. 39-51, 1996.


1995

N. Boland, A.T. Ernst, C.J. Goh and A.I. Mees, "Optimal two-commodity flows with nonlinear cost functions", Journal of the Operational Research Society, 46, 1192-1207, 1995.

A.Byrne and E.R. Love, "Non-unique inverses of certain generalized Stieltjes Transforms", J. Math. Anal. Appl. 190 (1995), 428-448.

B.D. Craven, Control and Optimization, Chapman and Hall, London, 1995.

B.D. Craven, V. Gershkovich and D. Ralph, "Morse theory and invariant concepts of convexity", Optimization, 35, 99-112, 1995.

B.D. Craven, D. Ralph and B.M. Glover, "Small convex-valued subdifferentials in mathematical programming", Optimization, 32, 1-21, 1995.

A.Domingo and M. Sniedovich, "Conventional dynamic programming algorithms for solving reliability network problems", OPSEARCH , 32(3), 210-226, 1995.

M.C. Ferris and D. Ralph, "Projected gradient methods for nonlinear complementarity problems via normal maps", in Recent Advances in Nonsmooth Optimization, D.Z. Zhu, L. Qi and R.L. Womersley (eds), World Scientific Publishers, Singapore, 57-87, 1995.

P. Pearce and D. Ralph, ``Improving visual aids in mathematics'', in Enhancing the First Year Experience, C. McInnis et al, (eds.), Centre for the Study of Higher Education, University of Melbourne, 1995.

D. Ralph and S. Dempe, "Directional derivatives of the solution of a parametric nonlinear program", Mathematical Programming, 70, 159-172, 1995.

D. Ralph and D. Sier, "Managing waiting lists and theatre scheduling for surgical procedures", Proc. of the 1994 Mathematics-in-Industry Study Group, J. Hewitt, (ed.), Mathematics-in-Industry-Study-Group, Australia, 1995.

M. Sniedovich, "On mean-standard deviation problems and beyond via c-programming", Optimization, 32, 85-89, 1995.

M. Sniedovich and S. Findlay, "Solving a class of multiplicative programming problems via c-programming", J. Global Optimization, 6, 313-319, 1995.


1994

N. Beaumont and M. Sniedovich, "Critical of critical path methods", ASOR Bulletin, 13 (1), 8-13, 1994.

N. Boland, A.T. Ernst, C.J. Goh and A.I. Mees, "A faster version of the ASG algorithm", Applied Mathematics Letters, 7, 23-27, 1994.

B.D. Craven, "Convergence of discrete approximations for constrained minimization", J. Australian Mathematical Society, Series B, 36, 50-59, 1994.

B.D. Craven, "Relations between invex concepts", Proc Optimization Miniconference, 47-54, 1994.

B.D. Craven, V. Gershkovich and D. Ralph, "Morse theory and relations between smooth and nonsmooth optimization", Proc Optimizatin Minoconference, 39-46, 1994.

B.D. Craven and D.V. Luu, "Constrained minimax for a vector-valued function", Optimization, 31, 199-208, 1994.

B.M. Glover and B.D. Craven, "A Fritz John optimality condition using the approximate subdifferential", Journal of Optimization Theory & Applications, 82, 253-265, 1994.

B.M. Glover and V. Jeyakumar, "Abstract nonsmooth nonconvex programming", Proc. of the Fourth International Workshop on Generalized Convexity, Pecs, Hungary, Springer-Verlag, 1994.

B.M. Glover, V. Jeyakumar and W. Oettli, "A Farkas lemma for difference sublinear systems and quasidifferentiable programming", Mathematical Programming, Series A, 63, 109-125, 1994.

B.M. Glover, V. Jeyakumar and W. Oettli, "Solvability theorems for difference convex functions and applications", Nonlinear Analysis Theory, Methods and Applications, 22 (10), 1191-1200, 1994.

B.M. Glover and D. Ralph, "First order approximations to nonsmooth mappings with application to metric regularity", Num. Funct. Anal. and Optim., 15, 599-620, 1994.

J.S. Pang and D. Ralph, "Directional differentiability and local invertibility of piecewise smooth normal maps", in Proc. of the sixth conference on Computational Techniques and Applications (CTAC93), D. Stewart, H. Gardner and S. Singleton, (eds.), Singapore:World Scientific Press, 406-412, 1994.

D. Ralph, "A chain rule for nonsmooth composite functions via minimization", Bull. Aust. Maths. Soc., 49, 129-137, 1994.

D. Ralph, "Global convergence of Newton's method for nonsmooth equations, via the path search", Mathematics of Operations Research, 19, 352-389, 1994.

D. Ralph, "On branching numbers of normal manifolds", J. Nonlinear Analysis: Theory, Methods and Applications, 22, 1041-1050, 1994.

P.A. Sach, N.D. Yen and B.D. Craven, "Generalized invexity and duality with multifunctions", Numer. Funct. Anal. Optim., 15, 131-153, 1994.

M. Sniedovich, "Algorithmic and Computational Aspects of Composite Concave Programming", International Transactions in Operational Research, 24 (3), 75-85, 1994.

M. Sniedovich, "A dynamic programming algorithm for the knapsack problem", APL Quote Quad, 24 (3), 18-21, 1994.

M. Sniedovich, E. Macalalag and S. Findlay, "The simplex algorithm as a global optimizer: a c-programming perspective", J. Global Optimization, 4 (1), 89-109, 1994.


1993

N. Beaumont and M. Sniedovich, "The compact simplex method", ASOR Bulletin, 12(2), 13-24, 1993.

B.D. Craven, "On continuous programming with generalized convexity", Asia-Pacific J. of Opr. Res., 10, 219-232, 1993.

A. Domingo and M. Sniedovich, "Experiments with algorithms for nonseparable dynamic programming problems", European J. Operational Research, 67(2), 172-187, 1993.

B.M. Glover, "Locally compactly Lipschitzian mappings in infinite dimensional programming", Bulletin of Aust. Math. Soc., 47 (3), 395-406, 1993.

B.M. Glover, B.D. Craven and S.D. Flam, "A generalized Karush-Kuhn-Tucker optimality condition without constraint qualification using the approximate subdifferential", Numerical Functional Analysis & Optimization, 14 (3 & 4), 333-353, 1993.

V. Jeyakumar and B.M. Glover, "A new version of Farkas' lemma and global convex maximization", Applied Math. Letters, 6 (5), 39-43, 1993.

D. Ralph, "A new proof of Robinson's homeomorphism theorem", Linear Algebra and its Applications, 178, 249-260, 1993.

M. Sniedovich, "A dynamic programming algorithm for the travelling salesman problem", APL Quote Quad, 23 (4), 1-2, 1993.


1992

N. Boland, "A dual-active-set method for positive semi-definite quadratic programming", in Optimization Techniques and Applications, Singapore:World Scientifice Press, 80-89, 1992.

N. Boland, C.J. Goh and A.I. Mees, "An algorithm for quadratic network programming: implementation, results and comparisons", Journal of the Operational Research Society, 43, 979-992, 1992.

N. Boland, C.J. Goh and A.I. Mees, "An algorithm for solving quadratic cost network flow optimization problems", in Optimization Techniques and Applications, Singapore:World Scientific Press, 284-293, 1992.

S. Bolintineanu and B.D. Craven, "Multicriteria sensitivity and shadow costs", Optimization, 26, 115-127, 1992.

B.D. Craven, P.H. Sach, N.D. Yen and T.D. Phuong, "A new class of invex multifunctions", in Nonsmooth Optimisation Methods and Applications, F. Gianessi (ed), Gordon & Breach , 52-69, 1992.

A. Domingo and M. Sniedovich, "Optimizing nonseparable functions with dynamic programming", Proc. of APORS91, C.P. Wu (ed), Beijing:Peking University Press, 271-276, 1992.

B.M. Glover, "On quasidifferentiable functions and nondifferentiable programming, Optimization, 24, 253-268, 1992.

E. Macalalag and M. Sniedovich, "Maximizing composite convex functions with linear programming", Proc. of APORS91, C.P. Wu (ed), Beijing:Peking University Press, 517-520, 1992.

A. Mehrez and M. Sniedovich, "An analysis of a dynamic project cost problem", J. Operational Research Society, 43(6), 591-604, 1992.

M. Sniedovich, Dynamic Programming, NY:Marcel Dekker, 1992.

M. Sniedovich and S. Findlay, "Jogging with APL along the shortest path", APL Quote Quad, 23(1), 221-227, 1992.


1991

N. Boland, C.J. Goh and A.I. Mees, "An algorithm for solving quadratic network flow problems", Applied Mathematics Letters, 4, 61-64, 1991.

B.D. Craven, "Aspects of multicriteria optimization", Australian Society of Operations Research, Conference 89, in Recent Prospects in Mathematical Programming, Philadelphia: Gordon and Breach, 93-100, 1991.

B.D. Craven, "An algorithm for minimax, ZOR - Methods and Models of Operations Research", 35, 425-434, 1991.

B.D. Craven, S. Chandra and B. Mond, "Multiobjective fractional programming duality: a Lagrangian approach", Optimization, 33, 549-556, 1991.

C. Petr and B.D. Craven, "Mathematical programming with iterative aggregation", Opsearch, 28, 1-17, 1991.

P.H. Sach and B.D. Craven. "Invex multifunctions and duality", Numer. Funct. Anal. Optim, 12, 575-591, 1991.

P.H. Sach and B.D. Craven, "Invexity in multifunction optimization", Numer. Funct. Anal. Optim., 12, 383-394, 1991.

M. Sniedovich, "C-programming its theory and applications", in Recent Developments in Mathematical Programming, S. Kumar (ed), , Melbourne:Gordon and Breach, 79-91, 1991.

M. Sniedovich, "A machine executable generalized inner product and its applications", Computers and Mathematics with Applications, 21, 159-163, 1991.

M. Sniedovich, "Solution strategies for variance minimization problems", Computers and Mathematics with Applications, 21, 49-56, 1991.

M. Sniedovich, "Toward parallel computing on personal computers in mathematical programming", in Recent Developments in Mathematical Programming, S. Kumar (ed), Melbourne:Gordon and Breach, 303-322, 1991.

X.Q. Yang, and B.D. Craven, "Necessary optimality conditions with a modified subdifferential", Optimization, 22, 387-400, 1991.


1990

N. Boland and A.I. Mees, "New methods for multicommodity flows", Computers and Mathematics with Applications, 20, 29-38, 1990.

G.Y. Chen and B.D. Craven, "A vector variational inequality and optimization over an efficient set", Z.O.R. Methods and Models of Operations Research, 34, 1-12, 1990.

B.D. Craven, "Vector valued Lagrangian multiobjective fractional programming duality", Numer. Funct. Anal. Optim., 11 (3&4), 235-254, 1990.

B.D. Craven, "Quasimin and quasisaddlepoint for vector optimization", Numer. Funct. Anal. Optim., 11, 45-54, 1990.

B. Mond, T. Weir and B.D. Craven, "On duality in generalized minimax problems", Asia-Pacific J. of Opns. Res., 7(1), 55-62, 1990.

M. Sniedovich, "Analysis of a machine executable generalized ·-notation", Computers and Mathematics with Applications, 20(11), 53-65, 1990.

M. Sniedovich and S. Vazirinejad, "A solution strategy for a class of nonlinear knapsack problems", American Journal of Mathematical and Management Science, 10(1-2), 51-71, 1990.


In Press

N. Boland and D. Panton, "Production planning and scheduling of evaporative air-conditioners", Proceedings of the 1995 Mathematics-In-Industry Study Group [In Press].

A. Byrne, "Some results for the Sendov conjecture", J. Math. Anal. Appl. [In Press].

B.D.Craven and B.M. Glover, "An approach to vector subdifferentials", Optimization [In Press].

B.D. Craven and J.R. Janin, "Regularity properties of the optimal value functions in nonlinear programming", Optimization [In Press].

B.D. Craven, D.V. Luu and B.M. Glover, "Strengthened invex and perturbations", Mathematical Methods of Operations Research [In Press].

B.M. Glover and A.M. Rubinov, "Characterizations of optimality for homogeneous programming problems with application", in Recent Advanced in Nonsmooth Optimization, L. Qi and R. Womersley (eds.), Kluwer, 1995 [In Press].

B.M. Glover, V. Jeyakumar, Y. Ishizuka, H.D. Tuan, "Complete characterizations of global optimality in non-convex constrained optimization", SIAM J. Optimization [In Press].

B.M. Glover, V. Jeyakumar and W. Oettli, "A Farkas lemma for difference sublinear systems and quasidifferentiable programming", Mathematical Programming [In Press].

Z.Q. Luo, J.S. Pang, D. Ralph, "Mathematical Programs with Equilibrium Constraints", Cambridge University Press [In press].

Z.Q. Luo, J.S. Pang, D. Ralph and S.Q. Wu, "Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints", Mathematical Programming [In Press].

Macalalag, E. and Sniedovich M., "Generalized linear programming and sensitivity analysis techniques", Navel Research Logistics [In press].

J.S. Pang and D. Ralph, "Piecewise smoothness, local invertibility, and parametric analysis of normal maps", Mathematics of Operations Research [In Press].

D. Ralph, "Sequential quadratic programming for mathematical programs with linear complementarity constraints'', in Computational Techniques and Applications: CTAC95, A. Easton, A. May, (eds.), World Scientific Press [In press].

D. Ralph, "A parallel method for unconstrained discrete-time optimal control problems", SIAM J. Optimization [In Press].

S.J. Wright, D. Ralph, "A superlinear infeasible-interior-point algorithm for monotone complementarity problems", Mathematics of Operations Research [In press].


© The University of Melbourne 1994-2002.
Disclaimer and Copyright Information.

Created: 1 June 2002
Last modified: 7 June 2002
Authorised by: Moshe Sniedovich, Department of Mathematics and Statistics.
Maintained by: Liam Merlot, Department of Mathematics and Statistics.
Email: l.merlot@ms.unimelb.edu.au