Edit Profile (opens in new tab) Harker, Patrick T. Compute Distance To: Compute Author ID: harker.patrick-t Published as: Harker, Patrick T.; Harker, P. T. Documents Indexed: 37 Publications since 1982 1 Contribution as Editor Co-Authors: 15 Co-Authors with 28 Joint Publications 320 Co-Co-Authors all top 5 Co-Authors 10 single-authored 5 Chen, Bintong 5 Xiao, Baichun 3 Akşin, O. Zeynep 3 Choi, Seung-Chan 3 Pang, Jong-Shi 2 DeSarbo, Wayne S. 2 Friesz, Terry L. 1 Cachon, Gérard P. 1 Frei, Frances X. 1 Goldsman, Lynne 1 Hallowell, Susan Fraley 1 Kraay, David R. 1 Mallik, Suman 1 Pinar, Mustafa Çelebi 1 Xue, Mei all top 5 Serials 6 European Journal of Operational Research 6 Mathematical Programming. Series A. Series B 5 Management Science 2 Applied Mathematics and Computation 2 Operations Research Letters 2 Transportation Science 2 Applied Mathematics Letters 2 SIAM Journal on Optimization 1 Mathematical Programming 1 Operations Research 1 Mathematical Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Information and Decision Technology 1 Economics Letters 1 Journal of Heuristics 1 Lecture Notes in Economics and Mathematical Systems all top 5 Fields 32 Operations research, mathematical programming (90-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 1,698 times in 1,396 Documents Cited by ▼ Year ▼ Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. Zbl 0734.90098Harker, Patrick T.; Pang, Jong-Shi 803 1990 Generalized Nash games and quasi-variational inequalities. Zbl 0754.90070Harker, Patrick T. 159 1991 A non-interior-point continuation method for linear complementarity problems. Zbl 0788.65073Chen, Bintong; Harker, Patrick T. 99 1993 A damped-Newton method for the linear complementarity problem. Zbl 0699.65054Harker, Patrick T.; Pang, Jong-Shi 73 1990 Smooth approximations to nonlinear complementarity problems. Zbl 0879.90177Chen, Bintong; Harker, Patrick T. 68 1997 Alternative modes of questioning in the analytic hierarchy process. Zbl 0626.90001Harker, P. T. 55 1987 Newton’s method for the nonlinear complementarity problem: a B- differentiable equation approach. Zbl 0724.90071Harker, Patrick T.; Xiao, Baichun 55 1990 Competition and outsourcing with scale economies. Zbl 1232.91471Cachon, Gérard P.; Harker, Patrick T. 48 2002 Accelerating the convergence of the diagonalization and projection algorithms for finite-dimensional variational inequalities. Zbl 0825.49019Harker, Patrick T. 38 1988 A variational inequality approach for the determination of oligopolistic market equilibrium. Zbl 0559.90015Harker, Patrick T. 38 1984 Alternative models of spatial competition. Zbl 0602.90018Harker, Patrick T. 32 1986 Existence of optimal solutions to mathematical programs with equilibrium constraints. Zbl 0648.90065Harker, Patrick T.; Pang, Jong-Shi 31 1988 A nonsmooth Newton method for variational inequalities. I: Theory. Zbl 0812.65048Xiao, Baichun; Harker, Patrick T. 21 1994 Multiple equilibrium behaviors on networks. Zbl 0638.90040Harker, Patrick T. 21 1988 Product positioning under price competition. Zbl 0703.90054Choi, S. Chan; Desarbo, Wayne S.; Harker, Patrick T. 18 1990 Derivatives of the Perron root of a positive reciprocal matrix: with application to the analytic hierarchy process. Zbl 0619.15017Harker, Patrick T. 17 1987 A nonsmooth Newton method for variational inequalities. II: Numerical results. Zbl 0812.65049Xiao, Baichun; Harker, Patrick T. 16 1994 A continuation method for monotone variational inequalities. Zbl 0844.90093Chen, Bintong; Harker, Patrick T. 15 1995 Note: ranking DMUs with infeasible super-efficiency DEA models. Zbl 1232.90306Xue, Mei; Harker, Patrick T. 13 2002 A noninterior continuation method for quadratic and linear programming. Zbl 0795.90040Chen, Bintong; Harker, Patrick T. 11 1993 A penalty function approach for mathematical programs with variational inequality constraints. Zbl 0732.90075Harker, Patrick T.; Choi, Seung-Chan 11 1991 Coordinating supply chains with competition: capacity allocation in semiconductor manufacturing. Zbl 1065.90521Mallik, Suman; Harker, Patrick T. 11 2004 A note on the existence of traffic equilibria. Zbl 0597.90031Harker, Patrick T. 8 1986 Spatial price equilibrium: Advances in theory, computation and application. Papers presented at the Thirty-First North American Regional Science Association Meeting held at Denver, Colorado, USA, November 1984. Zbl 0568.90002 7 1985 Capacity sizing in the presence of a common shared resource: Dimensioning an inbound call center. Zbl 1037.90509Akşin, O. Zeynep; Harker, Patrick T. 5 2003 A numerical approach to deriving long-run equilibrium solutions in spatial positioning models. Zbl 0825.90233Choi, S. Chan; Desarbo, Wayne S.; Harker, Patrick T. 4 1992 Measuring aggregate process performance using AHP. Zbl 1009.90516Frei, Frances X.; Harker, Patrick T. 3 1999 Computing performance measures in a multi-class multi-resource processor-shared loss system. Zbl 0961.90018Akşin, O. Zeynep; Harker, Patrick T. 3 2000 Modeling a phone center: analysis of a multichannel, multiresource processor shared loss system. Zbl 1232.90261Akşin, O. Zeynep; Harker, Patrick T. 3 2001 Continuation method for nonlinear complementarity problems via normal maps. Zbl 1009.90118Chen, Bintong; Harker, Patrick T.; Pınar, Mustafa Ç. 2 1999 Perturbation results for the linear complementarity problem. Zbl 0704.90093Xiao, Baichun; Harker, Patrick T. 2 1989 A simultaneous freight network equilibrium model. Zbl 0514.90023Harker, Patrick T.; Friesz, Terry L. 2 1982 A polynomial-time algorithm for affine variational inequalities. Zbl 0718.65048Harker, Patrick T.; Xiao, Baichun 2 1991 Existence of competitive equilibria via Smith’s nonlinear complementarity result. Zbl 1273.91273Harker, Patrick T. 1 1982 Multi-objective design of transportation networks: The case of spatial price equilibrium. Zbl 0558.90094Friesz, Terry L.; Harker, Patrick T. 1 1983 Predicting on-time line-haul performance in scheduled railroad operations. Zbl 0879.90080Hallowell, Susan Fraley; Harker, Patrick T. 1 1996 Case-based reasoning for repetitive combinatorial optimization problems. II: Numerical results. Zbl 1071.90557Kraay, David R.; Harker, Patrick T. 1 1997 Coordinating supply chains with competition: capacity allocation in semiconductor manufacturing. Zbl 1065.90521Mallik, Suman; Harker, Patrick T. 11 2004 Capacity sizing in the presence of a common shared resource: Dimensioning an inbound call center. Zbl 1037.90509Akşin, O. Zeynep; Harker, Patrick T. 5 2003 Competition and outsourcing with scale economies. Zbl 1232.91471Cachon, Gérard P.; Harker, Patrick T. 48 2002 Note: ranking DMUs with infeasible super-efficiency DEA models. Zbl 1232.90306Xue, Mei; Harker, Patrick T. 13 2002 Modeling a phone center: analysis of a multichannel, multiresource processor shared loss system. Zbl 1232.90261Akşin, O. Zeynep; Harker, Patrick T. 3 2001 Computing performance measures in a multi-class multi-resource processor-shared loss system. Zbl 0961.90018Akşin, O. Zeynep; Harker, Patrick T. 3 2000 Measuring aggregate process performance using AHP. Zbl 1009.90516Frei, Frances X.; Harker, Patrick T. 3 1999 Continuation method for nonlinear complementarity problems via normal maps. Zbl 1009.90118Chen, Bintong; Harker, Patrick T.; Pınar, Mustafa Ç. 2 1999 Smooth approximations to nonlinear complementarity problems. Zbl 0879.90177Chen, Bintong; Harker, Patrick T. 68 1997 Case-based reasoning for repetitive combinatorial optimization problems. II: Numerical results. Zbl 1071.90557Kraay, David R.; Harker, Patrick T. 1 1997 Predicting on-time line-haul performance in scheduled railroad operations. Zbl 0879.90080Hallowell, Susan Fraley; Harker, Patrick T. 1 1996 A continuation method for monotone variational inequalities. Zbl 0844.90093Chen, Bintong; Harker, Patrick T. 15 1995 A nonsmooth Newton method for variational inequalities. I: Theory. Zbl 0812.65048Xiao, Baichun; Harker, Patrick T. 21 1994 A nonsmooth Newton method for variational inequalities. II: Numerical results. Zbl 0812.65049Xiao, Baichun; Harker, Patrick T. 16 1994 A non-interior-point continuation method for linear complementarity problems. Zbl 0788.65073Chen, Bintong; Harker, Patrick T. 99 1993 A noninterior continuation method for quadratic and linear programming. Zbl 0795.90040Chen, Bintong; Harker, Patrick T. 11 1993 A numerical approach to deriving long-run equilibrium solutions in spatial positioning models. Zbl 0825.90233Choi, S. Chan; Desarbo, Wayne S.; Harker, Patrick T. 4 1992 Generalized Nash games and quasi-variational inequalities. Zbl 0754.90070Harker, Patrick T. 159 1991 A penalty function approach for mathematical programs with variational inequality constraints. Zbl 0732.90075Harker, Patrick T.; Choi, Seung-Chan 11 1991 A polynomial-time algorithm for affine variational inequalities. Zbl 0718.65048Harker, Patrick T.; Xiao, Baichun 2 1991 Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. Zbl 0734.90098Harker, Patrick T.; Pang, Jong-Shi 803 1990 A damped-Newton method for the linear complementarity problem. Zbl 0699.65054Harker, Patrick T.; Pang, Jong-Shi 73 1990 Newton’s method for the nonlinear complementarity problem: a B- differentiable equation approach. Zbl 0724.90071Harker, Patrick T.; Xiao, Baichun 55 1990 Product positioning under price competition. Zbl 0703.90054Choi, S. Chan; Desarbo, Wayne S.; Harker, Patrick T. 18 1990 Perturbation results for the linear complementarity problem. Zbl 0704.90093Xiao, Baichun; Harker, Patrick T. 2 1989 Accelerating the convergence of the diagonalization and projection algorithms for finite-dimensional variational inequalities. Zbl 0825.49019Harker, Patrick T. 38 1988 Existence of optimal solutions to mathematical programs with equilibrium constraints. Zbl 0648.90065Harker, Patrick T.; Pang, Jong-Shi 31 1988 Multiple equilibrium behaviors on networks. Zbl 0638.90040Harker, Patrick T. 21 1988 Alternative modes of questioning in the analytic hierarchy process. Zbl 0626.90001Harker, P. T. 55 1987 Derivatives of the Perron root of a positive reciprocal matrix: with application to the analytic hierarchy process. Zbl 0619.15017Harker, Patrick T. 17 1987 Alternative models of spatial competition. Zbl 0602.90018Harker, Patrick T. 32 1986 A note on the existence of traffic equilibria. Zbl 0597.90031Harker, Patrick T. 8 1986 Spatial price equilibrium: Advances in theory, computation and application. Papers presented at the Thirty-First North American Regional Science Association Meeting held at Denver, Colorado, USA, November 1984. Zbl 0568.90002 7 1985 A variational inequality approach for the determination of oligopolistic market equilibrium. Zbl 0559.90015Harker, Patrick T. 38 1984 Multi-objective design of transportation networks: The case of spatial price equilibrium. Zbl 0558.90094Friesz, Terry L.; Harker, Patrick T. 1 1983 A simultaneous freight network equilibrium model. Zbl 0514.90023Harker, Patrick T.; Friesz, Terry L. 2 1982 Existence of competitive equilibria via Smith’s nonlinear complementarity result. Zbl 1273.91273Harker, Patrick T. 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 1,687 Authors 41 Noor, Muhammad Aslam 30 Yao, Jen-Chih 29 Ma, Changfeng 26 Huang, Nan-Jing 25 Ding, Xie Ping 23 Kanzow, Christian 22 Bnouhachem, Abdellah 21 Qi, Liqun 20 Huang, Zheng-Hai 18 Fukushima, Masao 16 Xiu, Naihua 15 Chen, Jein-Shan 15 Cubiotti, Paolo 15 Pang, Jong-Shi 14 Harker, Patrick T. 14 He, Bingsheng 12 Dương Việt Thông 12 Han, Deren 11 Fang, Yaping 11 Konnov, Igor V. 11 Zhang, Liping 10 Cojocaru, Monica-Gabriela 10 Liu, Hongwei 10 Peng, Jianwen 10 Sun, Defeng 10 Zhang, Jianzhong 10 Zhao, Yunbin 10 Zheng, Hua 9 Cho, Yeol Je 9 Facchinei, Francisco 9 Shehu, Yekini 9 Wang, Yiju 9 Yang, Hai 9 Yang, Haijian 9 Yu, Bo 8 Dong, Qiaoli 8 Ferris, Michael C. 8 Han, Jiye 8 Vong, Seakweng 8 Yang, Xiaoqi 8 Zhang, Liwei 8 Zhu, Daoli 7 Aussel, Didier 7 Chen, Xiaojun 7 Dinh The Luc 7 Fan, Xiaona 7 He, Songnian 7 Iyiola, Olaniyi Samuel 7 Li, Jun 7 Liao, Li-Zhi 7 Liu, Sanyang 7 Mastroeni, Giandomenico 7 Patriksson, Michael 7 Rautenberg, Carlos N. 7 Ruiz-Garzón, Gabriel 7 Shanbhag, Uday V. 7 Smeers, Yves 7 Tang, Jia 7 Wang, Changyu 7 Zhu, Jianguang 6 Friesz, Terry L. 6 Hintermüller, Michael 6 Lin, Guihua 6 Martínez, José Mario 6 Ni, Tie 6 Noor, Khalida Inayat 6 Outrata, Jiří V. 6 Rassias, Themistocles Michael 6 Scrimali, Laura Rosa Maria 6 Tobin, Roger L. 6 Xiao, Baichun 6 Yamashita, Nobuo 5 Alphonse, Amal 5 Andreani, Roberto 5 Bai, Minru 5 Dang Van Hieu 5 Dempe, Stephan 5 Fischer, Andreas 5 Flåm, Sjur Didrik 5 Fuller, J. David 5 Gabriel, Steven A. 5 Gu, Weizhe 5 He, Hongjin 5 Hu, Rong 5 Li, Donghui 5 Luo, Meiju 5 Pan, Shaohua 5 Passacantando, Mauro 5 Qu, Biao 5 Ralph, Daniel 5 Rufián-Lizana, Antonio 5 Sun, Jie 5 Tawhid, Mohamed Aly 5 Wan, Cheng 5 Yuan, George Xian-Zhi 5 Yuan, Xiaoming 5 Zeng, Jinping 5 Zheng, Xiuyun 4 Adly, Samir 4 Aleksandrova, V. M. ...and 1,587 more Authors all top 5 Cited in 206 Serials 143 Journal of Optimization Theory and Applications 120 European Journal of Operational Research 68 Mathematical Programming. Series A. Series B 66 Applied Mathematics and Computation 58 Optimization 54 Journal of Computational and Applied Mathematics 48 Computers & Mathematics with Applications 40 Computational Optimization and Applications 39 Journal of Global Optimization 29 Journal of Mathematical Analysis and Applications 27 Optimization Methods & Software 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Applied Mathematics Letters 24 Journal of Inequalities and Applications 23 Operations Research Letters 21 Annals of Operations Research 20 Optimization Letters 18 Computers & Operations Research 17 Journal of Applied Mathematics and Computing 17 Journal of Industrial and Management Optimization 16 Numerical Algorithms 13 Asia-Pacific Journal of Operational Research 13 Mathematical and Computer Modelling 13 Computational and Applied Mathematics 13 Networks and Spatial Economics 11 International Journal of Computer Mathematics 11 Journal of Applied Mathematics 9 Numerical Functional Analysis and Optimization 9 Operations Research 9 Applied Mathematics and Mechanics. (English Edition) 9 Abstract and Applied Analysis 9 Set-Valued and Variational Analysis 8 Mathematical Problems in Engineering 8 Mathematical Methods of Operations Research 8 Optimization and Engineering 7 Computer Methods in Applied Mechanics and Engineering 7 Linear Algebra and its Applications 7 Cybernetics and Systems Analysis 6 Mathematics of Computation 6 Journal of Information & Optimization Sciences 6 Positivity 6 RAIRO. Operations Research 6 Nonlinear Analysis. Real World Applications 5 Journal of Computational Physics 5 Automatica 5 Calcolo 5 Journal of Scientific Computing 5 Applied Mathematical Modelling 5 Applied Mathematics. Series B (English Edition) 4 Applicable Analysis 4 Applied Mathematics and Optimization 4 Opsearch 4 Acta Mathematicae Applicatae Sinica. English Series 4 Neural Computation 4 Japan Journal of Industrial and Applied Mathematics 4 Games and Economic Behavior 4 Numerical Linear Algebra with Applications 4 Computational Management Science 3 International Journal of Modern Physics B 3 Information Sciences 3 Journal of Economic Theory 3 Naval Research Logistics 3 International Journal of Approximate Reasoning 3 Journal of Economic Dynamics & Control 3 SIAM Journal on Optimization 3 Vietnam Journal of Mathematics 3 Discrete Dynamics in Nature and Society 3 Acta Mathematica Sinica. English Series 3 International Game Theory Review 3 Central European Journal of Mathematics 3 Thai Journal of Mathematics 3 Fixed Point Theory and Applications 3 Journal of Fixed Point Theory and Applications 3 Frontiers of Mathematics in China 3 Journal of the Operations Research Society of China 3 Journal of Nonlinear and Variational Analysis 2 Bulletin of the Australian Mathematical Society 2 International Journal of General Systems 2 Mathematical Methods in the Applied Sciences 2 Acta Mathematica Vietnamica 2 Fuzzy Sets and Systems 2 Journal of Mathematical Economics 2 Kybernetika 2 Mathematics of Operations Research 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Mathematical Social Sciences 2 Science in China. Series A 2 Applications of Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Automation and Remote Control 2 SIAM Journal on Scientific Computing 2 Set-Valued Analysis 2 Economic Theory 2 Filomat 2 Journal of Convex Analysis 2 International Transactions in Operational Research 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Soft Computing 2 Journal of Shanghai University ...and 106 more Serials all top 5 Cited in 35 Fields 955 Operations research, mathematical programming (90-XX) 524 Calculus of variations and optimal control; optimization (49-XX) 394 Numerical analysis (65-XX) 286 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 199 Operator theory (47-XX) 27 Computer science (68-XX) 21 Systems theory; control (93-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 18 Mechanics of deformable solids (74-XX) 17 Global analysis, analysis on manifolds (58-XX) 14 Partial differential equations (35-XX) 14 Statistics (62-XX) 13 Probability theory and stochastic processes (60-XX) 12 Biology and other natural sciences (92-XX) 9 Real functions (26-XX) 7 Functional analysis (46-XX) 7 Fluid mechanics (76-XX) 6 General topology (54-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year