It is called a global pessimistic solution if δ = ∞ can be selected.
To introduce the concept of a solution of problem (1) (also called pessimistic solution), one usually employs the following value function (varphi(x)): varphi(x):=c^{T}x+sup_{{ y_{i},z inPsi_{i}(x)}} Biggl[sum _{i=1}^{M}d_{i}^{T}y_{i}+s^{T}z Biggr].
To obtain the most optimistic and the most pessimistic satisficing solutions of this problem, two polynomial time algorithms are introduced applying some network transformations.
This search effort is less than Wald's (pessimistic) maximin solution that assumes the species is present (the worst possible outcome).
The city said it was close to an agreement with the developers, but several condo owners said they were pessimistic, since any solution relies on the very people — the developers, their architect and Buildings Department officials — who created the mess to begin with.
Vircoulon said he was pessimistic that a coherent solution could be worked out in the near term.
There was H. Carl McCall, the former state comptroller and Democratic candidate for governor, lamenting that he "was really depressed" over New York's finances and "very pessimistic" about the prospects for solutions proposed by the Citizens Budget Commission, which sponsored the conference.
I have also become pessimistic about a number of proposed solutions.
Harry Bailey, an independent from Gresham, Ore., a retiree and military veteran, said he was pessimistic about the possibility of a solution.
Several relative studies are reviewed for existing results of solutions and approximations results for pessimistic bilevel programming; see [10 15].
