Optimization Techniques-Dual Simplex Method

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In this video, I have explained Dual Simplex Method. This method is applied for LPP in which first table is optimal but not feasible. Here all subsequent table remains optimal and as soon as we get the solutions feasible, then formed table is optimal and feasible and hence optimal solution of LPP is achieved.
Note here, if optimality and feasibility both are disturbed in a LPP then we cannot apply Dual Simplex method, in this case we should apply Criss Cross Method.

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Ma’am I think there is some mistake actually in dual simplex the solution to the primal Lpp is infeasible and optimal where as the solution to the dual Lpp is only feasible but at 4:30 you said that zj - cj value is optimal now zj - cj represents solution to the dual of the problem if I wrong please correct me

atirmahmood

Hello Mam I have one doubt "why dual simplex method cannot give the unbounded solutions? " can you explain mam

rakeshboda

Mam, how do we solve using dual-simplex method if equality constraint is present? If we use the big M method then Zj-Cj criteria will always be violated.

ayushjain

Dual Simplex method is applied to a particular type of Lpp which satisfies Optimality criteria always. So we can't involve Big M here, or artificial variable.

In some LPP, Optimality and feasibility both are disturbed in first stage itself then we apply criss-cross method, but this is not in UMA031 syllabus.

meenakshirana

Mam there's a confusion
In the 2nd example,
You are saying we need to comapre absolute value of (zj-cj)/alphAij that is |(zj-cj)/alphAij | but you took abs(-2/3) in place of abs(-2) and still got the and . Is that taking absolute value really necessary?

algorithmvideos

Mam in dual simplex method...can we do like this
1. First convert the problem to maximization
2. Second convert all the constraints to <= type
3. Convert the lpp into standard form by introducing slack variables
4.then now solve for the optimality and feasibility...please reply

purnachandraa

Ma'am, I don't understand the simplex method of LPP after standard changing step, ,
Please help me how should I complete my simplex method syllabus bcoz MST is nearer

rajnishkumar

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