Global optimisation of sum of ratios problems represents a formidable challenge in contemporary applied mathematics and operations research. Such problems involve objective functions that are ...

Hara, Takemura and Yoshida discussed toric ideals arising from two way subtable sum problems and showed that these toric ideals are generated by quadratic binomials if and only if the subtables are ...

The problem considered in this paper requires determining the location of a given number of centers or facilities to minimize the sum of weighted distances to customers being served, subject to the ...

Creative telescoping is an algorithmic technique central to computer algebra, employed for deriving recurrence relations and differential equations that characterise definite sums and integrals. By ...