Optimizing the ratios within the constraints is called fractional programming or ratio
optimization problem. If one can optimize several ratios objectives simultaneously, then it is …

The printed circuit board (PCB) assembling production process is generally optimized to
ensure very low levels of errors (defects) so as to produce the higher quality product. The …

This paper lists in alphabetical order by the name of the first author, 745 papers dealing with
fractional programming and its applications. This covers mainly the period 2005-2012 but it …

Reliability testing is essential in the PCBA (Printed Circuit Board Assembly) manufacturing
process since it helps to identify potential issues before they become significant in the future …

The paper presents the solution methodology of a multi-objective probabilistic fractional
programming problem, where the parameters of the right hand side constraints follow …

Probabilistic or Stochastic programming is a framework for modeling optimization problems
that involve uncertainty. The basic idea used in solving stochastic optimization problems has …

This paper presents the application of multi-objective probabilistic fractional programming
problem in production planning. The production planning model for a manufacturing …

In this paper, we propose a stochastic programming model, which considers a ratio of two
nonlinear functions and probabilistic constraints. In the former, only expected model has …

In real-life situations, we human beings faced with multi-objective problems that are
conflicting and non-commensurable with each other. Especially, when goods are …

The field of chance constrained fractional programming (CCFP) has grown into a huge area
over the last few years because of its applications in real life problems. Therefore, finding a …