in this article, a finite horizon, multi product and multi period economic order quantity like seasonal items is considered where demand rate is deterministic and known but variable in each period. the order quantities of items come in batch sizes and the end of the period order quantity and, consequently, demand of customers are zero. in addition, storage space is constrained and the problem ...

Recent developments in urbanization and e-commerce have pushed businesses to deploy efficient systems decrease their supply chain cost. Vendor Managed Inventory (VMI) is one of the most widely used strategies effectively manage chains with multiple parties. VMI implementation asks for solving Routing Problem (IRP). This study considers a multi-product multi-period inventory routing problem, inc...

The Container Drayage Problem (CDP) aims at routing a fleet of trucks, based common terminal, to serve customers while minimizing the total travel distance. Each trip starts from and ends handles subset customers. customer requires either that container is picked up or delivered. We introduce more realistic variant, i.e., Multi-trip Multi-period CDP with Release Due Dates (MM-CDP-RDD), in which...

This paper presents a simplifiedlagrangian multiplier based algorithm to solve the fixed head hydrothermalscheduling problem. In fixed head hydrothermal scheduling problem, waterdischarge rate is modeled as quadratic function of hydropower generation andfuel cost is modeled as quadratic function of thermal power generation. Thepower output of each hydro unit varies with the rate of water discha...

  Abstract.   The Sturm-Liouville boundary value problem of the multi-order fractional differential equation  is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.