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j. y. wong
On May 18, 1974, Jsun Yui Wong obtained his Ph.D. from the University of Wisconsin-Madison.
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Jsun Yui Wong Abstract: The first example is to find the shortest distance between P15 and P01: So path {P15}-{P14}, {P14}-{P10}, {P10}-{P06}, {P06}-{P04}, {P04}-{P01} is an optimal route of shortest distance of 16+3+2+10+9=40. Using the same procedure as the last three papers, this paper easily solves two dynamic programming networks.... Continue reading
Posted Jan 10, 2024 at Substance
Solving two stagecoach problems with dynamic programming Jsun Yui Wong Using the same procedure as the last three papers, this paper easily solves two dynamic programming networks. The immediately following dynamic programming problem is from Sathyapriva, Swathy,Srivarshini, and Bhavatarini [6, pp. 344-346]. It is essential that one takes a good... Continue reading
Posted Dec 28, 2023 at Substance
Finding shortest routes in Harvey M. Wagner's stagecoach problems Jsun Yui Wong The following example is a shortest route problem from Wagner [6, pp. 265-270], a prototype example for dynamic programming, Hillier and Lieberman [3, pp. 425-430]. It is essential that one takes a good look of the network (picture)... Continue reading
Posted Dec 17, 2023 at Substance
Finding shortest routes in staged acyclic networks Jsun Yui Wong The following example is a shortest route problem from Murty [5, pp. 473-475], a staged acyclic network, Murty [5, p. 475]. It is essential that one appreciates the network (picture) on p. 475 [5; please take a look]. This illustration... Continue reading
Posted Dec 16, 2023 at Substance
An attempt to obtain a unified algorithm for dynamic programming Jsun Yui Wong The followimg example is the stagecoach problem (the shortest route problem ) from Jensen [4, pp. 102-103]. It is essential that one appreciates the network (picture) on p. 102 [4]. This illustration is similar to Wagner’s stagecoach... Continue reading
Posted Dec 15, 2023 at Substance
Using the general-purpose nonlinear programming solver used in this blog many times for over a decade instead of a dynamic programming approach used in Ecker and Kupferschmid [29], second edition Jsun Yui Wong A loading problem is presented in Ecker and Kupferschmid [29; please see p. 353]. Their problem is... Continue reading
Posted Nov 15, 2023 at Substance
Using the general-purpose nonlinear programming solver used in this blog many times for over a decade instead of a dynamic programming approach used in Ecker and Kupferschmid [29] Jsun Yui Wong A loading problem is presented in Ecker and Kupferschmid [29; please see p. 353]. Their problem is briefly summarized... Continue reading
Posted Nov 14, 2023 at Substance
Solving a nonlinear programming problem from the literature: another test problem in Visweswaran and Floudas [101] Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below attempts to solve the following test problem from Visweswaran and Floudas [101, pp. 1431-1432, Example 8]. Minimize... Continue reading
Posted Jul 14, 2023 at Substance
Solving a nonlinear programming problem in the literature: an illustration with a test problem from Visweswaran and Floudas [101] Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below attempts to solve the following test problem from Visweswaran and Floudas [101, p. 1431,... Continue reading
Posted Jul 14, 2023 at Substance
A direct way to solve bilinear programming problems: an illustration from Visweswaran and Floudas [101] Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below attempts to solve the following test problem (bilinear) from Visweswaran and Floudas [101, pp. 1420-1422, Example 1; H.... Continue reading
Posted Jul 13, 2023 at Substance
A computer program to solve geometric programming problems: an illustration from Rijckaert and Martens [76, Problem 11] Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below attempts to solve the following nonlinear programming problem from Rijckaert and Martens [76, p. 231, Problem... Continue reading
Posted Jul 9, 2023 at Substance
A computer program to solve bilinear problems: an illustration using a classical bilinear problem in Porn, Bjork, and Westerlund [71], Second and Easier Solution Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the following classical bilinear problem in... Continue reading
Posted Jul 6, 2023 at Substance
A computer program to solve nonconvex mixed-integer nonlinear programming problems: an illustration from Lundell, Skjal, and Westerlund [58] Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below attempts to solve the following mixed-integer nonlinear programming (MINLP) problem from Lundell, Skjal, and Westerlund... Continue reading
Posted Jul 5, 2023 at Substance
A computer program to solve bilinear problems: an illustration using a classical bilinear problem in Porn, Bjork, and Westerlund [71] Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the following classical bilinear problem in Porn et al. [71,... Continue reading
Posted Jul 3, 2023 at Substance
A computer program to solve mixed-integer nonlinear programming (MINLP) problems: an illustration using Example 3 in Lundell and Westerlund [58] Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the following noncovex mixed-integer nonlinear programming (MINLP) example in Lundell... Continue reading
Posted Jul 2, 2023 at Substance
A computer program to solve geometric programming problems: an illustration using Rijckaert and Martens' Problem 6 [76], Second Edition Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the following geometric programming problem in Rijckaert and Martens [76, p.... Continue reading
Posted Jun 30, 2023 at Substance
A computer program to solve geometric programming problems: an illustration using Rijckaert and Martens' Problem 6 [76] Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the following geometric programming problem based on Problem 6 on page 229 of... Continue reading
Posted Jun 29, 2023 at Substance
A computer program to find from one run all solutions of nonlinear systems of equations with free variables Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the nonlinear programming formulation on page 656 of Tsai and Lin [89]:... Continue reading
Posted Jun 3, 2023 at Substance
A Computer Program for Optimizing a Widely-Known Design of a Speed Reducer Jsun Yui Wong The computer program listed below attempts to solve the following nonlinear programming formulation in Tsai, Lin, and Peng [, pp. 177-178]: Minimize -1 * ( -.7854 * X(1) * X(2) ^ 2 * (3.3333 *... Continue reading
Posted May 2, 2023 at Substance
A computer program for solving mixed-integer nonlinear programs: a Misener example Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the following nonlinear program from Misener [62, p. 1/5]: Maximize X(1) + X(2) subject to 8 * X(1) ^... Continue reading
Posted Apr 19, 2023 at Substance
A Computer Program for Solving Nonlinear Programming Problems, Including Nonlinear Systems of Equations and Mixed-Integer Signomial Geometrical Programming Problems: An Illustration Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the following classical Goldstein and Price test problem, Misener... Continue reading
Posted Apr 8, 2023 at Substance
A Computer Program for Solving Nonlinear Programming Problems, Including Nonlinear Systems of Equations and Mixed-Integer Signomial Geometrical Programming Problems: Another Illustration Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the following formulation from page 278 of Reference 34:... Continue reading
Posted Apr 3, 2023 at Substance
A Computer Program for Solving Nonlinear Programming Problems, Including Nonlinear Systems of Equations and Mixed-Integer Signomial Geometric Programming Problems Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the following design of a batch process on pages 248-249 of... Continue reading
Posted Apr 3, 2023 at Substance
A Computer Program for Alkylation Process Optimization, Second Edition Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve the nonlinear programming formulation on page 42 of Bracken and McCormick [15, p. 42], which is briefly summarized as follows: Maximize... Continue reading
Posted Mar 31, 2023 at Substance
A Computer Program for Generalized Geometric Programming Jsun Yui Wong Similar to the computer program of the preceding paper, the computer program listed below aims to solve directly the following nonlinear programming problem based on Murray, Chandrasekaran, and Wierman [62, p. 281], which is based on Yan [106, p. 89]:... Continue reading
Posted Feb 27, 2023 at Substance