This paper studies a Dynamic Generalized Assignment Problem (DGAP) which extends the well-known generalized assignment problem by considering a discretized time horizon and by associating a starting time and a finishing time with each task. Additional constraints related to warehouse and yard management applications are also considered. Two linear integer programming formulations of the problem...

‎In this paper‎, ‎some KKT type sufficient global optimality conditions‎ ‎for general mixed integer nonlinear programming problems with‎ ‎equality and inequality constraints (MINPP) are established‎. ‎We achieve‎ ‎this by employing a Lagrange function for MINPP‎. ‎In addition‎, ‎verifiable sufficient global optimality conditions for general mixed‎ ‎integer quadratic programming problems are der...

this paper investigates the problem of just-in-time permutation flow shop scheduling with limited buffers and linear job deterioration in an uncertain environment. the fuzzy set theory is applied to describe this situation. a novel mixed-integer nonlinear program is presented to minimize the weighted sum of fuzzy earliness and tardiness penalties. due to the computational complexities, the prop...

considered supply chain in this article consists of one vendor and multiple retailers where the vendor applies vendor managed inventory. considering vendor as a leader and retailers as followers, stackelberg game theory is applied for modeling and analyzing this system. a general mixed integer nonlinear model is developed which can optimizes the performance of the system under revenue sharing c...

The thesis studies a new constraint, named minimum quantity commitments, for the selection and assignment problem. It is motivated by the Royal Philips Electronics and a special stipulation of the US Federal Maritime Commission. Our work is expected to initiate the research on this novel constraint for the selection and assignment problem. We first classify all the special cases and prove their...

This paper studies the design of a model following control system (MFCS) for nonlinear descriptor system in discrete time. In previous studies, a method of nonlinear model following control system with disturbances was proposed by Okubo,S. and also a nonlinear model following control system with unstable zero of the linear part, a nonlinear model following control system with containing inputs ...