ion ............................................................................................................. 3 Determination of Number of New Aircraft Needed ................................................. 4 Aircraft Sizing ......................................................................................................... 5 Monolithic Problem Formulation ..............................

We explore a fixed-route vehicle refueling problem as a special case of the inventorycapacitated lot-sizing problem, and present a linear-time greedy algorithm for finding optimal refueling policies.

This paper considers the problem of interconnect wire delay in digital integrated circuits. The correct wire sizing and buffer insertion/sizing can reduce the interconnect delay. The interconnect wire is divided into segments and to optionally buffers are inserted between two adjacent segments. But it is important to select appropriate values for the size of buffers as well as the lengths and w...

We consider the single-item discrete lot-sizing and scheduling problem. We present a partial linear description of the convex hull of feasible solutions that solves this problem in the presence of Wagner-Whitin costs.

Recently, scholars and practitioners have shown an increased interest in the field of sustainable supplier selection and order lot-sizing. While several studies have recently carried out on this field, far too little attention has been given to formulating a multi-objective model for the integrated problem of multi-period multi-product order lot-sizing and sustainable supplier selection under i...

Utilization of energy storage system (ESS) in microgrids has turned to be necessary in recent years and now with the improvement of storage technologies, system operators are looking for an exact modeling and calculation for optimal sizing of ESS. In the proposed paper, optimal size of ESS is determined in a microgrid considering demand response program (DRP) and reliability criterion. Both lar...

Microgrids (MGs) contain a diverse mix of energy resources to provide safe and secure power to the consumers. Batteries are utilized in MGs for further energy security assurance as well as cost minimization. In this paper, an efficient approach is introduced for simultaneous energy management and optimal battery sizing to accomplish economic MG operation. Also, demand response programs are empl...

Common approaches to solve a robust optimization problem decompose the problem into a master problem (MP) and adversarial separation problems (APs). MP contains the original robust constraints, however written only for finite numbers of scenarios. Additional scenarios are generated on the fly by solving the APs. We consider in this work the budgeted uncertainty polytope from Bertsimas and Sim, ...