gfor some i, then x is a degenerate BFS. Maximize z = 3x1 + x2 Subject to X1 + 2x2 5 X1 + x2 - x3 2 7x1 + 3x2 - 5x3 20 X1, x2, x3 0 View answer. That is, a different set of shadow prices and ranges may also apply to the problem (even if the optimal solution is unique). IBFS (initial basic feasible solution) : This involves Initial solution to the given balanced Transportation Problems. 4-3 2 . Purpose of MODI 1.Transportation Is) a dummy mw or column must be added. if an optimal solution is degenerate then Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. 11.In a transportation problem, You say, you would like to get the reduced costs of all other optimal solutions, but a simplex algorithms returns exactly one optimal solution. endstream endobj startxref Then: 1. if an optimal solution is degenerate then - Pillori Associates /Length 1640 Original LP maximize x 1 + x 2 + x 3 (1) subject to x 1 + x 2 8 (2) x 2 + x 3 0 (3) x 1,x 2, 0 . (7) If an optimal solution is degenerate, then (a) There are alternative optimal solution (b) The solution is infeasible (c) The solution is : 01'110 : use to the decision maker (d) None of these (8) Ifa primal : LP : problem has finite solution, then the dual : LP : proble!J1 should have (a) Finite solution (b) Infeasible solution a. a dummy row or column must be added. ga('send', 'pageview'); Then the ith component of w is 0. is done in ________. /Ln .iLM`yu`OJ7vstA[(]{tocQ!5uHOC3=Fbp_^TthN Zp"\ebaY(F-!EYs*ls(2YH)l;Wb*Wvdl+FC^[zB%EtrL?P __+_ 7. D) infeasible solution. endstream endobj 2242 0 obj <>/Metadata 109 0 R/Pages 2236 0 R/StructTreeRoot 165 0 R/Type/Catalog>> endobj 2243 0 obj <>/MediaBox[0 0 720 540]/Parent 2237 0 R/Resources<>/ProcSet[/PDF/ImageC]/XObject<>>>/Rotate 0/StructParents 0/Tabs/S/Type/Page>> endobj 2244 0 obj <>stream stream Non degenerate optimal solution in primal <=> non degenerate optimal solution in dual 2 I don't understand how I can solve the dual of a linear programming model knowing the solution Degeneracy is caused by redundant constraint(s), e.g. 19:C. 20:A. The total number of non negative allocation is exactly m+n- 1 and 2. var addEvent = function(evt, handler) { d. multiple optimal solution. m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m) hb```,@ 96H```dq 2yrJAHv4Fm Glt1e272500_)X Y5mzd@)m1 f7H,\nddk] l6P.]v*#%;q-f>Sc=u{3f. Simplex Method Summary Identify any basic feasible solution (or extreme point) for an LP problem, then moving to an adjacent extreme point if such a move improves the value of the objective function. Where = MODIs Algorithm: 1. transportation problem the solution is said to degenerate solution if occupied 0 . The modied model is as follows: View answer. Example 8 Consider the polyhedral set given by Then, there exists an optimal solution which is also a basic feasible solution. 11: B. (7) If an optimal solution is degenerate, then (a) There are alternative optimal solution (b) The solution is infeasible (c) The solution is : 01'110 : use to the decision maker (d) None of these (8) Ifa primal : LP : problem has finite solution, then the dual : LP : proble!J1 should have (a) Finite solution (b) Infeasible solution a. a dummy row or column must be added. __o_ 6. method is to get__________. d. the problem has no feasible solution. Thanks for contributing an answer to Operations Research Stack Exchange!
