We view mixed integer/linear problem formulation as a process of identifying disjunctive and knapsack constraints in a problem and converting them to mixed integer form. We show through a series of examples that following this process can yield mixed integer models that automatically incorporate some of the modeling devices that have been discovered over the years for making the formulation tig...

despite existing various integer programming for sequencing problems, there is not enoughinformation about practical values of the models. this paper considers the problem of minimizing maximumlateness with release dates and presents four different mixed integer programming (mip) models to solve thisproblem. these models have been formulated for the classical single machine problem, namely sequ...

The impetus for this research was examining a flow shop problem in which tasks were expected to be successively carried out with no time interval (i.e., no wait time) between them. For this reason, they should be completed by specific dates or deadlines. In this regard, the efficiency of the models was evaluated based on makespan. To solve the NP-Hard problem, we developed two mathematical mode...

in some industries as foundries, it is not technically feasible to interrupt a processor between jobs. this restriction gives rise to a scheduling problem called no-idle scheduling. this paper deals with scheduling of no-idle open shops to minimize maximum completion time of jobs, called makespan. the problem is first mathematically formulated by three different mixed integer linear programming...

‎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...

the selection of best information system (is) project from many competing proposals is a critical business activity which is very helpful to all organizations. while previous is project selection methods are useful but have restricted application because they handle only cases with precise data. indeed, these methods are based on precise data with less emphasis on imprecise data. this paper pro...

<p style='text-indent:20px;'>The conventional data envelopment analysis (DEA) models presume that the values of input-output variables decision-making units (DMUs) are precisely known. However, some real-life situations can authoritatively mandate to vary in concrete fine-tuned ranges, which include negative and measures allowed take integer only. Our study proposes an integrated dynamic ...

in this paper, we develop a capacitated location-covering model considering interval values for demand and service parameters. we also consider flexibility on distance standard for covering demand nodes by the servers. we use the satisfaction degree to represent the constraint of service capacity. the proposed model belongs to the class of mixed integer programming models. our model can be redu...