In this paper we present a new insertion-based construction heuristic to solve the multivehicle pickup and delivery problem with time windows. The new heuristic does not only consider the classical incremental distance measure in the insertion evaluation criteria but also the cost of reducing the time window slack due to the insertion. We also present a non-standard measure, Crossing Length Per...

in this paper, stabilization conditions and controller design for a class of nonlinear systems are proposed. the proposed method is based on the nonlinear feedback, quadratic lyapunov function and heuristic slack matrices definition. these slack matrices in null products are derived using the properties of the system dynamics. based on the lyapunov stability theorem and sum of squares (sos) dec...

Enhancing water use efficiency (WUE) is essential for the sustainable and green development of utilization. The conventional Super Slack-Based Measure (CSSBM) model commonly employed to measure WUE, however, it prone underestimating WUE due its exaggeration slack variable. Recognizing need deal with problems involving variable without limitation, we propose an improved Super-SBM (ISSBM) that as...

In open real-time systems with a non-stationary workload, tasks can be dynamically mapped to servers. If a server-based, slack reclamation scheduler is used, each task reserves a fraction of the bandwidth based on its resource estimation. However, the slack time scheduler makes no guarantee to a task beyond its processor capacity reserve, i.e., the scheduler cannot guarantee that a soft real-ti...

when evaluating of the senior manager’s performance is based on the achieving to budget and they have responsibility to report the capacity of resources which are in their part too; it is possible to create budget slack and effect on their performance evaluation by providing pessimistic and conservatively estimates or manipulated information of income and expenses. so, senior manager and budget...

In order to improve service reliability, many transit agencies add a significant amount of slack in the schedule. However, too much slack in the schedule reduces service frequency. We study the problem of determining the optimal slack that minimizes the passengers’ expected waiting times under schedule-based control. By associating with a D/G/c queue model, we show that the system is stable if ...