Introduction Accurate estimation of the absorbed dose in radiosensitive organs, located away from the target volume during radiotherapy, is one of the main reasons for the development of reference phantoms. The International Commission on Radiological Protection (ICRP) reference phantoms can provide a more realistic view of the human anatomy in comparison with the previously used mathematical p...

This paper concerns with a mathematical model considering customer satisfaction requirements in a supply chain. The model tradeoffs the supply chain ability to fulfill the customers’ requirements and the limited budget in a variety of production phases. The decisions made here help to determine the profit provider price and economic quantity while the effective supplier and priori requireme...

in this paper, we present a fractional mathematical model of a one-dimensional phase phase change problem (stefan problem) with latent heat a power function of position. this model includes space-time fractional derivatives in caputo sense and time dependent surface heat flux. an approximate solution of this model is obtained by optimal homotopy asymptotic method (oham) to find an approximate s...

The Vehicle Routing Problem (VRP) is a highly investigated logistics problem. VRP can model in-plant and out-plant material handling or whole supply chain. first article was published in 1959 by Dantzig Ramser, many varieties of have appeared since then. Transport systems are becoming more customized these days, so it necessary to develop general system that covers transport tasks. Based on the...

bin size is one of the fundamental and key parameters in 3d land seismic operation design and has an important role in the determination and calculation of other design parameters. therefore, optimization of this parameter is vital. in this study a new method for optimization of the bin size has been used. the optimization algorithm is linear and based on a mathematical model. due to the relati...

abstractaccidents and natural disasters and crises coming out of them indicate the importance of an integrated planning to reduce their effected. therefore, disaster relief logistics is one of the main activities in disaster management. in this paper, we study the response phase of the disaster management cycle and a bi-objective model has been developed for relief chain logistic in uncertainty...

Occurrence of chaotic behaviors because of fluctuations creation and their intensified transfer along the chain is one of the main causes of inefficiency of Material Requirements Planning (MRP) based supply chains. One of the reasons of the inefficiency is the lumpiness phenomenon. Through this phenomenon, some parts have an irregular production schedule, with nothing produced in some periods a...

Today competitive environment has enforced practitioners and researchers to pay great attention to issues enhancing both production and marketing competitiveness. To do so, it has been obligatory for the firms to consider production side activities while customer requirements are on the other side of competition. In this regard, hybrid make-to-stock (MTS)/make-to-order (MTO) production systems ...