Abstract
In this paper, a multi-objective faculty course allocation problem with result analysis and feedback analysis based on uncertain preferences mathematical model is presented. To deal with an uncertain model, three different ranking criteria are being used to develop: a) Expected value, b) Optimistic value, c) Dependent optimistic value criterion. These mathematical models are transformed into their corresponding deterministic forms using the basic concepts of uncertainty theory. The deterministic model of DOCM consists of fractional objectives which are converted into their linear form using Charnes and Cooper’s transformation. These deterministic formulations MOFCAP are converted into a single objective problem by using the fuzzy programming technique with linear and exponential membership functions. Further, the single objective problem for all the defined models is solved in the Lingo 18.0 software to derive the Pareto-optimal solution. The sensitivity of the models is also performed to examine the variation in the objective function due to the variation in parameters. Finally, a numerical example is given to exhibit the application and algorithm of the models.
Highlights
Faculty course allocation involves the allocation of time slots and resources to teachers of universities or colleges under few hard and soft constraints
We have presented an uncertain model of faculty course assignments with uncertain preferences based on the result and feedback analysis
In this paper, we have developed an uncertain mode for University course scheduling
Summary
Faculty course allocation involves the allocation of time slots and resources to teachers of universities or colleges under few hard and soft constraints. Such a problem can be solved manually by the administrator of the University or college. This task becomes very complicated if resources, time slots, faculties, and constraints are large. But these approaches not guarantees about optimality or optimality gaps In such cases, exact approaches play a vital role such as mathematical programming and
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